Computational Methods for Differential Equations

Volume & Issue: Articles in Press

Articles in Press: ALL Accepted Manuscript Corrected Proof

Research Paper

Mechanics of nanofluidic flow induced nonlinear vibrations of single and multi-walled branched nanotubes in a thermal-magnetic environment

Articles in Press, Accepted Manuscript, Available Online from 19 July 2024

10.22034/cmde.2024.56288.2353

Ahmed Amoo Yinusa; Gbeminiyi Musibau Sobamowo; Adekunle Omolade Adelaja; Sunday Joshua Ojolo; Mufutau Adekojo Waheed; Ridwan Ola-Gbadamosi; Ridwan Adesesan Amokun

An accurate finite-difference scheme for the numerical solution of a fractional differential equation

Articles in Press, Accepted Manuscript, Available Online from 08 October 2024

10.22034/cmde.2024.61919.2699

Aniruddha Seal; Srinivasan Natesan

Exact and Iterative Solutions for DEs, Including Fokker-Planck and Newell-Whitehead-Segel Equations, Using Shehu Transform and HPM

Articles in Press, Accepted Manuscript, Available Online from 13 October 2024

10.22034/cmde.2024.61746.2683

Zahida Perveen; Zainab Fatima; Afraz Hussain Majeed; Ahmed Refaie ALi

Numerical treatment and optimal control of Hepatitis B virus spatio-temporal model

Articles in Press, Accepted Manuscript, Available Online from 13 October 2024

10.22034/cmde.2024.60011.2557

Khalid K. Ali; Kamal Raslsn; Ahmed F. Koura; Mohamed Abozeid Shaalan

An Efficient Numerical Scheme for Solving A Competitive Lotka-Volterra System with Two Discrete Delays

Articles in Press, Accepted Manuscript, Available Online from 27 October 2024

10.22034/cmde.2024.55194.2293

Elcin Gokmen; Osman Raşit Işık

Quintic B-Spline Method for Numerical Solution of Second Order Singularly Perturbed Delay Differential Equations

Articles in Press, Accepted Manuscript, Available Online from 02 November 2024

10.22034/cmde.2024.61474.2650

Ram Kishun Lodhi; Shilpa Malge

A Mathematical Analysis of Non-linear Smoking Model via Fractional Operators

Articles in Press, Accepted Manuscript, Available Online from 02 November 2024

10.22034/cmde.2024.62331.2738

Savita Panwar; Rupakshi Mishra Pandey; Sunil Dutt Purohit; Shyamsunder -

Dynamic Insights into Gaseous Diffusion: Analytical Soliton and Wave Solutions via Chaffee–Infante Equation in Homogeneous Media

Articles in Press, Accepted Manuscript, Available Online from 11 November 2024

10.22034/cmde.2024.62543.2765

Samah Mabrouk; Mahy Mahdy; Rasha Saleh; Ahmed Rashed

A U-Net Framework Using Differential Equations for Enhanced Computer Vision in Lung Disease Diagnosis

Articles in Press, Accepted Manuscript, Available Online from 26 November 2024

10.22034/cmde.2024.64290.2905

Naif Almusallam; Vusala Muradova; Mostafa O Abotaleb; Tatiana Makarovskikh; Hussein Alkattan; Omar G. Ahmed; Maad M. Mijwil

A Comprehensive Review on Quantum Computing and Algorithms

Articles in Press, Accepted Manuscript, Available Online from 08 December 2024

10.22034/cmde.2024.63085.2806

Abdulrahman Sultan; Igor Klebanov

Bioconvective Flow Surrounding a Thin Surgical Needle in Blood Incorporating Ternary Hybrid Nanoparticles

Articles in Press, Accepted Manuscript, Available Online from 09 December 2024

10.22034/cmde.2024.61425.2643

Ahmed S. Rashed; Ehsan Nasr; Samah M. Mabrouk

Numerical Solution of Linear and Nonlinear Schrödinger Equation via Shifted Chebyshev Collocation Method

Articles in Press, Accepted Manuscript, Available Online from 21 December 2024

10.22034/cmde.2024.57475.2405

Nidhi Prabhakar; Seema Sharma

On the resolvent operator of singular impulsive Hahn--Dirac system

Articles in Press, Accepted Manuscript, Available Online from 21 December 2024

10.22034/cmde.2024.59198.2515

Bilender P Allahverdiev; Huseyin Tuna; Hamlet A Isayev

Existence results for nonlinear elliptic $\overrightarrow{p}(\cdot)-$equations

Articles in Press, Accepted Manuscript, Available Online from 28 December 2024

10.22034/cmde.2024.61426.2644

Mokhtar Naceri

A Novel Approach to Fractional Kinetic Equations Involving Srivastava Polynomial and Multi-Index Bessel Function

Articles in Press, Accepted Manuscript, Available Online from 08 January 2025

10.22034/cmde.2024.61477.2651

Alok Bhargava; Dayalal Suthar; Komal Prasad Sharma

Numerical Analysis of SEIR epidemic model with fractional order

Articles in Press, Accepted Manuscript, Available Online from 10 January 2025

10.22034/cmde.2024.63428.2832

Zain Ul Abadin Zafar; Sadaf Ijaz; Cemil Tunc

Existence result for fuzzy form of the equation governing unsteady motion of solid particles in fluid medium

Articles in Press, Accepted Manuscript, Available Online from 11 January 2025

10.22034/cmde.2024.63793.2862

Masoumeh Zeinali; Ghiyam Eslami

A monotonic weighted compact finite difference solution for a non-linear steady advection-diffusion equation

Articles in Press, Accepted Manuscript, Available Online from 11 January 2025

10.22034/cmde.2024.61722.2680

Prapol Chivapornthip

A novel approach using a new generalization of Bernoulli wavelets for solving fractional integro-differential equations with singular kernel

Articles in Press, Accepted Manuscript, Available Online from 14 January 2025

10.22034/cmde.2024.62229.2728

Somayeh Nemati

Hopf Bifurcation and Chaotic Attractors in Two Special Jerk System Cases

Articles in Press, Accepted Manuscript, Available Online from 15 January 2025

10.22034/cmde.2024.61865.2694

Tahsin I Rasul; Rizgar H. Salih

Numerical solutions and error analysis of system of two-dimensional Volterra integral equations via Block-Pulse functions

Articles in Press, Accepted Manuscript, Available Online from 15 January 2025

10.22034/cmde.2024.60254.2570

Akram Karimi; Khosrow Maleknejad; Reza Ezzati

COMPACT FINITE DIFFERENCE SCHEME FOR NUMERICAL SOLUTION OF CAPUTO-FABRIZIO FRACTIONAL RICCATI DIFFERENTIAL EQUATIONS

Articles in Press, Accepted Manuscript, Available Online from 18 January 2025

10.22034/cmde.2025.60832.2602

Mansoureh Sattari; Maryam Arab Ameri

MULTI-SOLITON SOLUTIONS TO THE K-P EQUATION OF TENTH ORDER

Articles in Press, Accepted Manuscript, Available Online from 19 January 2025

10.22034/cmde.2024.56556.2366

Bharatha Kalegowda; Rangarajan Raghavachar

Analyzing MHD boundary layer flow of Rivlin Ericksen fluid over a stretching sheet by applying Taylor Wavelet Approach

Articles in Press, Accepted Manuscript, Available Online from 25 January 2025

10.22034/cmde.2024.61873.2695

Prithvi Suresh; Vidya Shree Ramareddy; Patil Mallikarjun Basavaraj

Numerical solution of stochastic fractional integro-differential/ Itô-Volterra integral equations via fractional Genocchi wavelets

Articles in Press, Accepted Manuscript, Available Online from 26 January 2025

10.22034/cmde.2024.64161.2891

Parisa Rahimkhani; Yadollah Ordokhani; Pedro M Lima

An heuristic method for solving an inverse problem in semiconductors governed by a nonlinear coupled system

Articles in Press, Accepted Manuscript, Available Online from 26 January 2025

10.22034/cmde.2025.62043.2708

Youness El Yazidi; Abdellatif Ellabib

Power series solutions of fractional Lotka-Volterra equation

Articles in Press, Accepted Manuscript, Available Online from 26 January 2025

10.22034/cmde.2025.61524.2662

Jicheng Yu; Yuqiang Feng

An effective Legendre wavelet technique for the time-fractional Fisher equation

Articles in Press, Accepted Manuscript, Available Online from 29 January 2025

10.22034/cmde.2025.63725.2849

Fatih İdiz; Gamze Tangolu; Nasser Aghazadeh; Amir Mohammadi

Optical solitons and stability analysis for the improved Eckhaus equations

Articles in Press, Accepted Manuscript, Available Online from 02 February 2025

10.22034/cmde.2024.62793.2784

Hina Zulfiqar; Kalim U. Tariq; Hamood Ur Rehman; Taiba Kouser; Waqar Ahmad

Investigation of Optical Solitons in a Weakly Nonlocal Schrodinger Equation with Parabolic Nonlinearity

Articles in Press, Accepted Manuscript, Available Online from 06 February 2025

10.22034/cmde.2024.61598.2673

Mir Sajjad Hashemi; Mohammad Mirzazadeh; Hamood Ur Rehman; Ahmed H. Arnous; Mustafa Bayram; Mostafa Eslami

THE BEHAVIOUR OF SOLUTIONS BOUNDARY PROBLEM TO NONLINEAR ELLIPTIC EQUATIONS

Articles in Press, Accepted Manuscript, Available Online from 10 February 2025

10.22034/cmde.2024.61634.2678

Tahir Gadjiev; Sardar Yahya Aliyev; Konul N. Yasinli

Inverse optimization problem for a fractional analog of the Barenblatt–Zheltov–Kochina equation

Articles in Press, Accepted Manuscript, Available Online from 11 February 2025

10.22034/cmde.2025.62338.2740

Yuldashev Tursun; Aysel Ramazanova

Investigation of convergence analysis of stochastic Heston model with one singular point

Articles in Press, Accepted Manuscript, Available Online from 19 February 2025

10.22034/cmde.2025.64394.2921

Ali Shandal Hashim; Esmaeil Najafi; Davood Ahmadian; Omid Farkhonde Rouz

Impact of Fractional Order on Reaction Rates: Solutions to Kinetic Equations with Incomplete $\aleph$-Function

Articles in Press, Accepted Manuscript, Available Online from 23 February 2025

10.22034/cmde.2025.61995.2704

Shyamsunder -; Diksha Gangwar

MATHEMATICAL STUDY ON INFINITE BOUNDARY VALUE PROBLEM FOR MHD FLOW OF A MICROPOLAR NANOFLUID

Articles in Press, Accepted Manuscript, Available Online from 23 February 2025

10.22034/cmde.2025.55531.2311

Vembu Ananthaswamy; Sakthivadeivel Punitha

New explicit solution of the Blasius equation in the boundary layer around the hull of a ship by approximation of derivatives

Articles in Press, Accepted Manuscript, Available Online from 25 February 2025

10.22034/cmde.2024.62192.2724

Abdelkader Lahlali; Zakaria El Maskaoui; Labhbi Boussihine; Bouchab Nadir; Abderrahim Dinane

EFFICIENT NUMERICAL SOLUTION OF SINGULARLY PERTURBED TWO-POINT BOUNDARY VALUE PROBLEMS ByYDOUBLE EXPONENTIAL NON-CLASSICAL SINC-COLLOCATION METHOD

Articles in Press, Accepted Manuscript, Available Online from 26 February 2025

10.22034/cmde.2025.64105.2885

Rozhan Mahamad haji; Amjad AliPanah

Stability analysis of SAIR mathematical model with general incidence rates and temporary immunity

Articles in Press, Accepted Manuscript, Available Online from 26 February 2025

10.22034/cmde.2025.64267.2901

Nemat Nyamoradi; Karam Allali; Bashir Ahmad

A Reproducing Kernel Method for Solving Nonlocal Functional Differential Equations with Delayed or Advanced Arguments

Articles in Press, Accepted Manuscript, Available Online from 28 February 2025

10.22034/cmde.2025.63743.2850

Hajar Rasekhinezhad; Saeid Abbasbandy; Tofigh Allahviranloo; Esmail Babolian

Numerical approximation of coupled Schr𝐨̈dinger equations via NUAH B-spline DQM

Articles in Press, Accepted Manuscript, Available Online from 28 February 2025

10.22034/cmde.2025.64656.2935

Mamta Kapoor; Geeta Arora; Varun Joshi

Infinitely many conservation laws, multi-wave solutions and interaction for the (2+1)-dimensional complex modified Korteweg-de Vries system of equations

Articles in Press, Accepted Manuscript, Available Online from 28 February 2025

10.22034/cmde.2024.62458.2753

Thilagarajah Mathanaranjan

An efficient numerical solution of the optimal control mathematical models for pollutant spread through forest resources based on shifted Bernoulli polynomials

Articles in Press, Accepted Manuscript, Available Online from 01 March 2025

10.22034/cmde.2025.63589.2838

Asiyeh Ebrahimzadeh; Elham Keshavarz Hedayati

A DYNAMIC NEURO-FUZZY APPROACH FOR PATTERN CLASSIFICATION

Articles in Press, Accepted Manuscript, Available Online from 05 March 2025

10.22034/cmde.2025.65211.2984

Erfan Veisi; Bahram Sadeghi Bigham; Mahdi Vasighi

Numerical idea to solve three-dimensional nonlinear Volterra integral equations with 3D-Legendre polynomials

Articles in Press, Accepted Manuscript, Available Online from 10 March 2025

10.22034/cmde.2025.65630.3028

Jalil Manafian; Peyman Bolgar

MATHEMATICAL MODELLING WITH OPTIMAL CONTROL OF INFECTIOUS DISEASES WITH VACCINATION

Articles in Press, Accepted Manuscript, Available Online from 10 March 2025

10.22034/cmde.2024.62350.2743

Henry M. Wanjala; Mark O. Okongo; Jimrise O. Ochwach

Numerical simulation of a nonlinear system of space-fractional Klein-Gordon-Zakharov equations using the Fourier spectral method

Articles in Press, Accepted Manuscript, Available Online from 10 March 2025

10.22034/cmde.2025.65052.2970

Zohreh Yaghoobloo; Sedigheh Toubaei; Mehdi Jalalvand; Jafar Esmaily; Safiyeh Mohammadian

EXACT SOLUTIONS OF THE NONLINEAR HEAT CONDUCTION EQUATION USING ANALYTICAL APPROACH

Articles in Press, Accepted Manuscript, Available Online from 09 April 2025

10.22034/cmde.2025.64393.2920

Inaam Rikan Hassan

Semi analytical study for Jeffery-Hamel flow using Shehu HPM and Elzaki HPM – A comparative study

Articles in Press, Accepted Manuscript, Available Online from 10 April 2025

10.22034/cmde.2025.64721.2939

Mamta Kapoor

A MATHEMATICAL AND COMPUTATIONAL STUDY OF GLOBAL STABILITY IN PARTIALLY-IONIZED ROTATING PLASMA

Articles in Press, Accepted Manuscript, Available Online from 10 April 2025

10.22034/cmde.2025.58316.2465

Vishal Chandel; Sunil -; Poonam Sharma

AN OVERLAPPING ADAPTIVE STEP-SIZE MULTI-DERIVATIVE HYBRID BLOCK METHOD FOR HIGHER ORDER INITIAL VALUE PROBLEMS

Articles in Press, Accepted Manuscript, Available Online from 20 April 2025

10.22034/cmde.2025.63158.2817

Uthman Olamide Rufai; Precious Sibanda; Sicelo Goqo

The Kolmogorov forward equations, information theory and mathematical modeling of the Ising model

Articles in Press, Accepted Manuscript, Available Online from 21 April 2025

10.22034/cmde.2025.63161.2814

Mehdi Shams; Mohammad Ali Mirzaie

Soliton Solutions in the Nonlinear Conformable Wu-Zhang System

Articles in Press, Accepted Manuscript, Available Online from 23 April 2025

10.22034/cmde.2024.61514.2661

Hira Tariq; Hira Ashraf; Mohammad Ali Hosseinzadeh; Hadi Rezazadeh; Soheila Biria

A study of a fractal multi-pantograph delay model with varying coefficients using fractional-order wavelets

Articles in Press, Accepted Manuscript, Available Online from 24 April 2025

10.22034/cmde.2025.62311.2735

Deepak Singh; Sag Ram Verma

$\varphi$--Caputo fractional integrodifferential equations with nonlocal conditions via noncompactness measure

Articles in Press, Accepted Manuscript, Available Online from 24 April 2025

10.22034/cmde.2025.62509.2761

Najat CHEFNAJ; Abdellah Taqbibt; Khalid Hilal; M'hamed ELomari

A highly accurate numerical technique for solving variable-order fractional Burgers-Huxley equation

Articles in Press, Accepted Manuscript, Available Online from 25 April 2025

10.22034/cmde.2025.63198.2820

Mojtaba Hajipour; Yashar Lakpour

$L^{\ell}-$Asymptotic properties of nonlinear Sturm-Liouville problems‎

Articles in Press, Accepted Manuscript, Available Online from 27 April 2025

10.22034/cmde.2025.64894.2957

Fatemeh Kiyaee; Seyfollah Mosazadeh

New Optimal Adaptive Step size Algorithm for Solving Black-Scholes Equation

Articles in Press, Accepted Manuscript, Available Online from 27 April 2025

10.22034/cmde.2025.65090.2974

Marziyeh Alishahi; Majid Yarahmadi

A computational iterative technique for a kind of nonlinear higher-order singular Emden-Fowler type equations

Articles in Press, Accepted Manuscript, Available Online from 27 April 2025

10.22034/cmde.2025.65131.2979

Jyoti -; Mandeep Singh

Distinct solitary wave solutions for the (3+1)-dimensional integrable pKP–BKP equation using the modified extended direct algebraic technique

Articles in Press, Accepted Manuscript, Available Online from 29 April 2025

10.22034/cmde.2025.65398.3004

Nivan M. Elsonbaty; Hamdy M. Ahmed; Niveen M. Badra; Wafaa B. Rabie; Mostafa Eslami

Implicit cubic B-spline quasi-interpolation for solving the generalized distributed-order time-fractional Black-Scholes equation

Articles in Press, Accepted Manuscript, Available Online from 30 April 2025

10.22034/cmde.2025.64886.2956

Roya Montazeri

An Advanced Numerical Approach for Solving Stiff Initial Value Problems Using a Self-Starting Two-Stage Composite Block Scheme

Articles in Press, Accepted Manuscript, Available Online from 02 May 2025

10.22034/cmde.2025.65372.3001

Badrul Amin Jaafar; Iskandar Shah Mohd Zawawi

Symmetry properties solution and conservation laws of time-fractional Zeldovich-Frank-Kamenetskii equation

Articles in Press, Accepted Manuscript, Available Online from 03 May 2025

10.22034/cmde.2025.64871.2954

Parastoo Kabi-Nejad

Robust finite difference schemes for one dimensional parabolic singularly perturbed problem with regular layers

Articles in Press, Accepted Manuscript, Available Online from 06 May 2025

10.22034/cmde.2025.63398.2828

Kishun Kumar Sah; Subramaniam Gowrisankar

Flexible fractional wavelet neural network for non-linear system identification

Articles in Press, Accepted Manuscript, Available Online from 07 May 2025

10.22034/cmde.2025.64339.2915

Hasan Dadashzadeh; Ghasem Ahmadi; Yousef Edrisi Tabrizi; Behrooz Rezaei

New numerical method via RBF approach to the price of fixed-rate mortgages‎

Articles in Press, Accepted Manuscript, Available Online from 07 May 2025

10.22034/cmde.2025.65809.3045

Rahele Jalili; Abdolsadeh Neisy; Alireza Vahidi

A Multigrid Solver for Subdiffusion Equations

Articles in Press, Accepted Manuscript, Available Online from 07 May 2025

10.22034/cmde.2025.65520.3017

Reza Mokhtari; Mohadeseh Ramezani; Gundolf Haase

Solution of non-homogeneous dynamic equation on time scale

Articles in Press, Accepted Manuscript, Available Online from 11 May 2025

10.22034/cmde.2025.65428.3009

Ahmed Azaba; Kamal R. Raslan; Khalid K. Ali

Introducing novel $(\psi,\phi)$-fractional operators advances in fractional calculus

Articles in Press, Accepted Manuscript, Available Online from 19 May 2025

10.22034/cmde.2025.62416.2748

Lakhlifa Sadek

ADVANCING NEUROLOGICAL DISORDER DIAGNOSTICS USING GROWING FUZZY SELF-ORGANIZING MAPS: AN EEG-BASED APPROACH

Articles in Press, Accepted Manuscript, Available Online from 23 May 2025

10.22034/cmde.2025.66349.3091

Hamed Shamsi; Parsa Saei; Pedram Gashmardi; Omar Farshad Jeelani

Analytical and numerical solutions of the convection-diffusion-reaction equations applying the Differential Transformation Method and the Crank-Nicholson method along with stability analysis and truncation error analysis

Articles in Press, Accepted Manuscript, Available Online from 23 May 2025

10.22034/cmde.2025.64919.2958

Ummu Habibah; Zalfa Camilla Rohman; Yashinta Novena Dewanti; Arfi Nadhifa Hananti

Space-Efficient Algorithms for Counting Triangles in Data Streams Using Trained Oracles

Articles in Press, Accepted Manuscript, Available Online from 23 May 2025

10.22034/cmde.2025.65909.3060

Hossein Jowhari; Arash Rahmati

Relational Graph Convolutional Networks for Sentiment Analysis

Articles in Press, Accepted Manuscript, Available Online from 24 May 2025

10.22034/cmde.2025.65816.3048

Asal Khosravi; Zahed Rahmati; Ali Vefghi

AMBARZUMYAN TYPE THEOREM WITH CONFORMABLE DERIVATIVE

Articles in Press, Accepted Manuscript, Available Online from 27 May 2025

10.22034/cmde.2025.64979.2963

Beyhan Kemaloglu; Hasan Bulut

Introduction to Quantum Graphs and Their Stability Analysis

Articles in Press, Accepted Manuscript, Available Online from 30 May 2025

10.22034/cmde.2025.63178.2816

Sovan Samanta; Tofigh Allahviranloo

Exactness of solution to the stochastic fractional impulsive differential equations

Articles in Press, Accepted Manuscript, Available Online from 04 June 2025

10.22034/cmde.2025.61363.2639

M Latha Maheswari; Karthik Muthusamy

On the Green function to the Poisson and the Helmholtz equations on the $n$-dimensional unit sphere

Articles in Press, Accepted Manuscript, Available Online from 04 June 2025

10.22034/cmde.2025.61973.2701

Ilona Iglewska-Nowak

A novel high-order approximation method for higher-dimensional time-fractional reaction-diffusion problems with weak initial singularity

Articles in Press, Accepted Manuscript, Available Online from 05 June 2025

10.22034/cmde.2025.61994.2712

Richa Singh; Anshima Singh; Sunil Kumar; Jesus Vigo-Aguiar

The Double Ramadan Group Accelerated Adomian Decomposition Method for Solving Nonlinear Partial Differential Equations

Articles in Press, Accepted Manuscript, Available Online from 07 June 2025

10.22034/cmde.2025.65368.3000

Mohamed A. Ramadan; Mariam M. A. Mansour; Naglaa A. El-Shazly; Heba A. Osheba

Fractional Prey-Predator Model in Biological Pest Control

Articles in Press, Accepted Manuscript, Available Online from 09 June 2025

10.22034/cmde.2025.64960.2960

Ram Pratap Chauhan; Ravikant Singh; Srinivasarao Thota

Numerical Investigation of Smoking Behavior Dynamics Using Spectral Collocation Method

Articles in Press, Accepted Manuscript, Available Online from 09 June 2025

10.22034/cmde.2025.63796.2861

Keerthana G; SAGITHYA THIRUMALAI

Deriving Novel Wave Solutions to the (2+1)fractional Paraxial Wave Dynamical Equation with Kerr Law Using the (G′/G2)-Expansion Function Technique

Articles in Press, Accepted Manuscript, Available Online from 24 June 2025

10.22034/cmde.2025.64296.2908

Fatma E. Abd Elbary; Mourad S. Semary; ِِAisha F. Fareed; Mohammed A. Elsesy

Numerical solution for an ‎inverse source problem of a ‎‎‎fractional order diffusion-wave equation

Articles in Press, Accepted Manuscript, Available Online from 25 June 2025

10.22034/cmde.2025.61173.2630

Maryam Ebrahimi; Mashallah Matinfar; Afshin Babaei

A New Perspective for Simulations of Equal-Width Wave Equation

Articles in Press, Accepted Manuscript, Available Online from 29 June 2025

10.22034/cmde.2025.62400.2747

Selçuk Kutluay; Nuri Murat Yağmurlu; Ali Sercan Karakaş

Unsteady and velocity-slip effects on laminar boundary layer flow and forced convective heat transfer over a moving wedge

Articles in Press, Accepted Manuscript, Available Online from 08 July 2025

10.22034/cmde.2025.64175.2893

Shrikant Chavaj; Md. Hanif B Page; Krishna B Chavaraddi; Priya M Gouder

Unveiling accurate numerical solutions of time-dependent nonlinear models via a modified hyperbolic polynomial collocation approach

Articles in Press, Accepted Manuscript, Available Online from 12 July 2025

10.22034/cmde.2025.66726.3147

Kolade M. Owolabi; Berat Karaagac

MODIFIED NEWTON’S METHOD FOR SOLVING PARAMETRIC ν-SUPPORT VECTOR REGRESSION WITH UNIVERSUM DATA

Articles in Press, Accepted Manuscript, Available Online from 16 July 2025

10.22034/cmde.2025.66530.3113

Fatemeh Bazikar; B Sadeghi Bigham; Atefeh Hemmati

APPLICATION OF TANH–COTH METHOD FOR COMBINED AND DOUBLE COMBINED SINH–COSH–GORDON EQUATIONS ARISING CHEMICAL REACTIONS TO WATER SURFACE GRAVITY WAVES

Articles in Press, Accepted Manuscript, Available Online from 17 July 2025

10.22034/cmde.2025.67655.3234

Elvir Akhmetshin; Ilyos Abdullayev; Samariddin Makhmudov; Kamila Dakhkilgova; Irina Korotaeva; Galina Yanovskaya

A FRACTIONAL STOCHASTIC DIFFERENTIAL MODELING OF CANCER CELLS WITH AN APPLICATION TO IMMUNE RESPONSE OF TUMOR DYNAMICS

Articles in Press, Accepted Manuscript, Available Online from 17 July 2025

10.22034/cmde.2025.63609.2840

Faezeh Tohidi; Javad Damirchi; Maryam Rezaei

Comprehensive analysis of three seventh-order KdV-type equations

Articles in Press, Accepted Manuscript, Available Online from 18 July 2025

10.22034/cmde.2025.66573.3121

Riadh Hedli; Fella Berrimi

SINGULAR BOUNDARY VALUE PROBLEMS ON TIME SCALES WITH ITERATIVE TERMS

Articles in Press, Accepted Manuscript, Available Online from 18 July 2025

10.22034/cmde.2025.64383.2919

M. V. Rama Krishna; Shaik Kalesha VALI; Khuddush Mahammad

Classification of Three-Dimensional Left-Invariant Ricci-Quadratic Randers Metrics and its Applications

Articles in Press, Accepted Manuscript, Available Online from 19 July 2025

10.22034/cmde.2025.66684.3141

Behzad Najafi; Akbar Tayebi; Fatemeh Barati

Physical interpretation of exact soliton solutions in nonlinear Jaulent Miodek hierarchy equation

Articles in Press, Accepted Manuscript, Available Online from 19 July 2025

10.22034/cmde.2025.65322.2996

Md Alamgir Hossain; Md. Nur Alam; Md. Farhad Hossain; Md. Ariful Islam; Mohammad Hassan; Cemil Tunç

Utilizing the fully fuzzy base-criterion method and the optimistic-pessimistic-natural procedure to evaluate solar panels deflection

Articles in Press, Accepted Manuscript, Available Online from 19 July 2025

10.22034/cmde.2025.66760.3151

Seyyed Kazem Yekani; Tuhid Pashaee Golmarz; Mohammad Khazaeili; Mahdi Nami

Symmetry Solutions of the fifth-order non-linear equation with temporal and spatial dispersion terms

Articles in Press, Accepted Manuscript, Available Online from 21 July 2025

10.22034/cmde.2025.64858.2952

Zehra Pinar Izgi; Subhadarshan Sahoo

ITERATIVE METHODS FOR LARGE SCALE PROBLEM

Articles in Press, Accepted Manuscript, Available Online from 30 July 2025

10.22034/cmde.2025.67389.3208

Rafael H. Gamidov; Mutallim M. Mutallimov

Modulation Instability and Solitary Wave Analysis of the Ivancevic Option Pricing Model via Novel Mathematical Techniques

Articles in Press, Accepted Manuscript, Available Online from 04 August 2025

10.22034/cmde.2025.67141.3185

Khush Bukht Mehdi; Sajawal Abbas Baloch; Imran Siddique; Dilsora Abduvalieva; Zaher M Yaseen; Hijaz Ahmad

Trigonometric Cubic B - Spline Collocation Method for Time Fractional Diffusion Equation

Articles in Press, Accepted Manuscript, Available Online from 04 August 2025

10.22034/cmde.2025.66393.3103

Zainab Kammappa; Ashish Awasthi

An Investigation of Fractional Typhoid Fever Disease Model using Homotopy Decomposition Method

Articles in Press, Accepted Manuscript, Available Online from 05 August 2025

10.22034/cmde.2025.65535.3018

Nisha Meena; Yoghesh Khandelwal; Lukesh Kumar Yadav; Murli Manohar Gour; Sunil Dutt Purohit

Optimal control of an SIR model with effect of vaccination and a generic nonlinear infection rate

Articles in Press, Accepted Manuscript, Available Online from 05 August 2025

10.22034/cmde.2025.65636.3030

Mohamad Ali Shakeri Barzoki; Rasool Kazemi; Rasoul Asheghi

Thermal analysis in transformer oil-based MHD two-phase flow of Prandtl fluid through inclined channel

Articles in Press, Accepted Manuscript, Available Online from 09 August 2025

10.22034/cmde.2025.65293.2993

Mubbashar Nazeer; Farooq Hussain; Talha Anwar

A study of weighted $b$-spline method for solving nonlocal subdiffusion model

Articles in Press, Accepted Manuscript, Available Online from 11 August 2025

10.22034/cmde.2025.66680.3142

Jitesh P. Mandaliya; Deelip Kumar

A NUMERICAL SCHEME WITH HIGH ACCURACY TO SOLVE THE TWO-DIMENSIONAL TIME-SPACE DIFFUSION-WAVE MODEL IN TERMS OF THE RIEMANN-LIOUVILLE AND RIESZ FRACTIONAL DERIVATIVES

Articles in Press, Accepted Manuscript, Available Online from 11 August 2025

10.22034/cmde.2025.66080.3074

Yadollah Ordokhani; Mohammad Hossein Derakhshan; Pushpendra Kumar

Rotating Casson Nanofluid Flow with Generalized Heat and Mass Transport

Articles in Press, Accepted Manuscript, Available Online from 11 August 2025

10.22034/cmde.2025.66263.3086

Muhammad Samiullah; Muhammad Sagheer; Hassan Shahzad

Optimal solution of the nonlinear time fractional diffusion-wave equation using generalized Laguerre polynomials

Articles in Press, Accepted Manuscript, Available Online from 11 August 2025

10.22034/cmde.2025.66412.3097

Narges Goudarzian; Hossein Hassani; Mohammad Shafi Dahaghin

A Collocation Approach Using Cubic Unified Extended Trigonometric Tension ‎B-Splines for Solving the Time-Fractional Telegraph Equation

Articles in Press, Accepted Manuscript, Available Online from 11 August 2025

10.22034/cmde.2025.66344.3090

Mohammad Tamsir; Neeraj Dahman; Deependra Nigam; Anand Chauhan; Waleed Adel

Treatment of Fractional Burgers-Fisher equation Using Taylor Wavelets

Articles in Press, Accepted Manuscript, Available Online from 13 August 2025

10.22034/cmde.2025.65899.3059

Zaid Alkhafaji; Ali Khani; Nasser Aghazadeh

Analysis of blood sugar with an incomplete $\aleph$-function

Articles in Press, Accepted Manuscript, Available Online from 13 August 2025

10.22034/cmde.2025.64151.2889

Manisha Meena

On the non-local $ \varphi $-Hilfer hybrid fractional differential equations: an existence study

Articles in Press, Accepted Manuscript, Available Online from 13 August 2025

10.22034/cmde.2025.63952.2874

Samira Zerbib; Khalid Hilal; Ahmed Kajouni

MULTIPLE POSITIVE SYMMETRIC SOLUTIONS FOR THE FOURTH-ORDER ITERATIVE DIFFERENTIAL EQUATIONS WITH IHPH OPERATOR

Articles in Press, Accepted Manuscript, Available Online from 13 August 2025

10.22034/cmde.2025.64157.2890

Kapula Rajendra Prasad; Kosuri Bhushanam; Sreedhar Namburi

Introducing Muntz-Kajani wavelet and its application in the numerical solution of a HIV infection of CD4+T cells model

Articles in Press, Accepted Manuscript, Available Online from 24 August 2025

10.22034/cmde.2025.66682.3140

Afkar Kareem Mnahi; Majid Tavassoli Kajani; Mohammed Jasim Mohammed; Masoud Allame

Analysis of a Prey-Predator model with an epidemic disease in predators

Articles in Press, Accepted Manuscript, Available Online from 24 August 2025

10.22034/cmde.2025.65742.3038

Pegah Tagheie karaji; Nemat Nyamoradi

DELAY DIFFUSIVE PREY PREDATOR MODEL WITH HUNTING COOPERATION IN PREDATORS

Articles in Press, Accepted Manuscript, Available Online from 25 August 2025

10.22034/cmde.2025.63898.2883

Saddam Hussain; Mashkoor Khan

ROBUST NUMERICAL APPROACH FOR SINGULARLY PERTURBED PARABOLIC PROBLEMS WITH DISCONTINUOUS CONVECTION COEFFICIENTS AND SOURCE TERMS

Articles in Press, Accepted Manuscript, Available Online from 25 August 2025

10.22034/cmde.2025.63426.2831

Shegaye Lema Cheru; Gemechis File Duressa; Tariku Birabasa Mekonnen

Classifications of Different Dimensional Partial Differential Equations and Their Invariant Solutions Via Symmetry Reductions and Optimal Systems

Articles in Press, Accepted Manuscript, Available Online from 25 August 2025

10.22034/cmde.2025.64053.2882

Muhammad Irshad; Mhammad Hussan; Zulfiqar Ali; Iram Jahangir; Abu Sufyan; Muhammad Tayyab Javed

B\'{e}zier Curve Technique for Solving $p$-fractional Differential Equations

Articles in Press, Accepted Manuscript, Available Online from 25 August 2025

10.22034/cmde.2025.65612.3026

Khursheed J. Ansari; Fateme Ghomanjani

Heat distribution analysis of nonlinear fin equation with variable thermal conductivity using group hidden symmetries techniques

Articles in Press, Accepted Manuscript, Available Online from 25 August 2025

10.22034/cmde.2025.64417.2922

Ahmed Rashed; Samah M. Mabrouk

Application of the meshless interpolating element-free Galerkin method for the numerical solution of obstacle problem

Articles in Press, Accepted Manuscript, Available Online from 01 September 2025

10.22034/cmde.2025.64932.2959

Ahmed Awad Nasser; Masoud Allame; Habeeb Abed Kadhim Aal-Rkhais; Majid Tavassoli Kajani

A novel numerical approach for solving two-dimensional Volterra-Fredholm integral equations

Articles in Press, Accepted Manuscript, Available Online from 03 September 2025

10.22034/cmde.2025.65501.3016

Fatemeh Mohammadi; Farshid Mirzaee; Erfan Solhi; Shiva Mahmoudi

A Robust Analytical Approach to Study the Impact of Fuzzy Initial Conditions on Time-Fractional Fisher's Equation

Articles in Press, Accepted Manuscript, Available Online from 04 September 2025

10.22034/cmde.2025.62583.2769

Yogeshwari F. Patel; Jayesh M. Dhodiya

Efficient Numerical Method for Pricing Option with Underlying Asset Follows a Fractal Stochastic Process

Articles in Press, Accepted Manuscript, Available Online from 05 September 2025

10.22034/cmde.2025.64013.2879

Santoshi Tarei; Ankur Kanaujiya; Jugal Mohapatra

Investigating soliton dynamics for (2+1)-dimensional stochastic Heisenberg ferromagnetic spin-chain model with multiplicative white noise using improved modified extended tanh function technique

Articles in Press, Accepted Manuscript, Available Online from 05 September 2025

10.22034/cmde.2025.65870.3055

Karim K. Ahmed; Hamdy M. Ahmed; Abeer S. Khalifa; Mostafa Eslami

A supervised learning algorithm for the inverse source problem of fractional wave equations

Articles in Press, Accepted Manuscript, Available Online from 09 September 2025

10.22034/cmde.2025.64556.2927

Abolfazl Tari Marzabad; Abumoslem Mohammadi

Analytical solutions and conservation laws of a generalized (3+1)-dimensional nonlinear evolution equation appearing in mathematical physics

Articles in Press, Accepted Manuscript, Available Online from 09 September 2025

10.22034/cmde.2025.64331.2913

Thabo Sylvester Moretlo; Ben Muatjetjeja; Abdullahi Rashid Adem

Comparative Numerical Analysis of Rotating Flow of a Stretching Sheet with Hall Current, Thermal Diffusion and Heat Source for an MHD Base Fluid, Casson Nanofluid, and Hybrid Nanofluid

Articles in Press, Accepted Manuscript, Available Online from 09 September 2025

10.22034/cmde.2025.62206.2727

Mohana Ramana Ravuri; Maheswari Chundru; Raghunath Kodi; Sridevi Dandu

A Spectral Tau Method Based on Lucas Polynomial Approximation for Solving the Nonlinear Fractional Riccati Equation

Articles in Press, Accepted Manuscript, Available Online from 13 September 2025

10.22034/cmde.2025.67681.3237

Youssri Hassan Youssri; Ahmed Gamal Atta

Edge detection method for color images based on $F^1$-transform and hierarchical fuzzy inference system

Articles in Press, Accepted Manuscript, Available Online from 14 September 2025

10.22034/cmde.2025.66702.3288

Robab Alikhani; Maryam Ganjeh Alamdari

A Novel Neural Network Architecture for Solving Fractional Differential Equations

Articles in Press, Accepted Manuscript, Available Online from 14 September 2025

10.22034/cmde.2025.63059.2803

Hassan Dana Mazraeh; Ali Nosrati Firoozsalari; Alireza Afzal Aghaei; Kourosh Parand

Numerical and Artificial Neural Network Model for Williamson Fluid Flow over a Stretching Sheet under Inclined Magnetic Field and Radiation

Articles in Press, Accepted Manuscript, Available Online from 15 September 2025

10.22034/cmde.2025.62082.2710

P Priyadharshini; V. Karpagam

Second-Order Convergence Scheme for Singularly Perturbed Unsteady Problems with Boundary Turning Points

Articles in Press, Accepted Manuscript, Available Online from 15 September 2025

10.22034/cmde.2025.63643.2841

Yimesgen Mehari Kebede; Awoke Andargie Tiruneh; Endalew Getnet Tsega

STABILITY ANALYSIS OF A FRACTIONAL ORDER MODEL FOR HOST-PARASITE INTERACTIONS

Articles in Press, Accepted Manuscript, Available Online from 02 October 2025

10.22034/cmde.2025.65557.3020

Chaima Moutalibi; Ahmed Aghriche; Youssef El hadfi

RBF partition of unity methods for solving the Poison equation on irregular domains

Articles in Press, Accepted Manuscript, Available Online from 03 October 2025

10.22034/cmde.2025.65004.2967

Fariba Fathi Dopolani; Mohammadreza Ahmadi Darani

High-accuracy fully discrete schemes for 2D time-space fractional models with nonlinear dynamics

Articles in Press, Accepted Manuscript, Available Online from 01 January 2025

10.22034/cmde.2025.68655.3338

Safar Irandoust-pakchin; Mohammad Hossein Derakhshan; Mohamed Adel

On theoretical and numerical analysis of Time-Fractional Fornberg-Whitham Equation

Articles in Press, Accepted Manuscript, Available Online from 11 October 2025

10.22034/cmde.2025.65002.2966

Hassan Kamil Jassim; Mohammed Taimah Yasser

A new method for increasing the accuracy of the fifth-order WENO scheme

Articles in Press, Accepted Manuscript, Available Online from 11 October 2025

10.22034/cmde.2025.65032.2973

Hossein Mahmoodi Darian

A Non-standard Finite Difference Method for Convection-diffusion Singularly Perturbed Integro-differential Equations

Articles in Press, Accepted Manuscript, Available Online from 11 October 2025

10.22034/cmde.2025.65288.2991

P Antony Prince; L Govindarao; Sekar Elango

Bifurcation Analysis of Time-Delayed Jerk Model

Articles in Press, Accepted Manuscript, Available Online from 12 October 2025

10.22034/cmde.2025.66505.3108

Elahe Rafiean Borujeni; Javad Alidousti; Khayyam Salehi

SEMI-ANALYTICAL INVESTIGATION ON A MIXED BOUNDARY VALUE PROBLEM IN MAGNETOHYDRODYNAMIC FLUID FLOW

Articles in Press, Accepted Manuscript, Available Online from 13 October 2025

10.22034/cmde.2025.68535.3320

Ponpandi Muthumeena; Vembu Ananthaswamy

The cotangent fractional Cauchy problem: analysis and numerical method

Articles in Press, Accepted Manuscript, Available Online from 17 October 2025

10.22034/cmde.2025.63227.2822

Mohamed Aymen El Qasraoui; Lakhlifa Sadek; El Mostafa Sadek

A new spectral method using Mittag-Leffler wavelets for solving stochastic differential equations

Articles in Press, Accepted Manuscript, Available Online from 23 October 2025

10.22034/cmde.2025.66447.3101

Fateme Yari; Farshid Mirzaee; Erfan Solhi

A Hybrid Approach to Solving the Lane-Emden Differential Equation Using Generalized Hat Functions and Hermite Interpolation

Articles in Press, Accepted Manuscript, Available Online from 23 October 2025

10.22034/cmde.2025.67759.3240

Seyed Amjad Samareh Hashemi; Rasoul Hatamian

Decoding computational complexity: a fractional-order clique-based approach for solving Hilfer fractal-fractional differential equations

Articles in Press, Accepted Manuscript, Available Online from 23 October 2025

10.22034/cmde.2025.68006.3266

Parisa Rahimkhani; Nasrin Samadyar; Mohsen Razzaghi

Application of Stochastic Runge-Kutta Methods for Mixed Fractional Brownian Motion Processes

Articles in Press, Accepted Manuscript, Available Online from 23 October 2025

10.22034/cmde.2025.68151.3287

Nader Karimi; Masoumeh Shahmoradi

A New Delayed SEIR-SEI Model for Dengue Transmission Control with Sensitivity and Competitive Mathematical Analysis

Articles in Press, Accepted Manuscript, Available Online from 27 October 2025

10.22034/cmde.2025.67008.3176

Shah Zeb; Siti Ainor Mohd Yatim; Ayesha Kamran; Rizwana Kausar; Muhammad Rafiq

Modeling and Analysis of Dynamic Waveforms in Nonlinear Fractional Models of Fifth Order

Articles in Press, Accepted Manuscript, Available Online from 29 October 2025

10.22034/cmde.2025.68014.3265

Muhammad Ashraf; Noor Muhammad; Md. Abdullah Bin Masud; Md. Nur Alam; Md. Jakir Hossen

Efficient numerical simulation of fractional extended Heston models including interest rate driven by variable-order Brownian motions

Articles in Press, Accepted Manuscript, Available Online from 29 October 2025

10.22034/cmde.2025.68717.3348

Zahra Tokasi; Mousa Ilie; Behrouz Parsa Moghaddam; Kamyar Hosseini