Computational Methods for Differential Equations

Volume & Issue: Articles in Press / Accepted Manuscript

Articles in Press: ALL Accepted Manuscript Corrected Proof

Research Paper

Investigation of optical solitons in a weakly nonlocal schrodinger equation with parabolic nonlinearity

Articles in Press, Accepted Manuscript, Available Online from 01 April 2026

10.22034/cmde.2024.61598.2673

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

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

$\varphi$--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

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

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

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

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

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

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

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

MODELS OF SENSITIVITY OF KEY INDICATORS OF THE ACTIVITY OF A PUBLIC COMPANY IN THE STOCK MARKET WITH A NEUTRAL APPROACH TO THE IMPLEMENTATION OF ITS DIVIDEND POLICY

Articles in Press, Accepted Manuscript, Available Online from 25 May 2026

10.22034/cmde.2024.59930.2553

Sergey Krylov

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

Fateme Ghomanjani; Khursheed J. Ansari

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 08 October 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

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

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

Positive Solutions for a Conformable Fractional Boundary Value Problem with a Numerical Approach

Articles in Press, Accepted Manuscript, Available Online from 31 October 2025

10.22034/cmde.2025.65862.3053

Asghar Ahmadkhanlu; Roya Mohebbi; Vedat Suat Erturk; Ali Khani

Robust Dai-Liao Method for Conjugate Gradient Method to Solving Iteration Problems

Articles in Press, Accepted Manuscript, Available Online from 31 October 2025

10.22034/cmde.2025.68935.3374

Basim Abbas Hassan; Waleed Abdulazeez Majeed

Numerical Approaches to the Time-Fractional Burgers' Equation Using the Conformable Fractional Derivative

Articles in Press, Accepted Manuscript, Available Online from 31 October 2025

10.22034/cmde.2025.65450.3011

Bilge Inan

Management of Rice taungro spread and control by sanitation measures for rice plants: Modeling and Sensitivity analysis

Articles in Press, Accepted Manuscript, Available Online from 31 October 2025

10.22034/cmde.2025.64963.2961

Khurram Faiz; Aqeel Ahmad; Zafar Ullah

Semi-analytic solutions of an SIR-type epidemic model using the Taylor matrix method

Articles in Press, Accepted Manuscript, Available Online from 31 October 2025

10.22034/cmde.2025.65128.2978

Revina Dian Agustine; Jonathan Hoseana; Benny Yong

New solitary wave solutions for generalized non-linear (3+1)-dimensional wave equation with gas bubbles in ﬂuids using extended F-expansion method under the inﬂuence of conformable fractional derivative

Articles in Press, Accepted Manuscript, Available Online from 31 October 2025

10.22034/cmde.2025.61174.2627

Abeer S. Khalifa; Niveen M. Badra; Hamdy M. Ahmed; Wafaa B. Rabie; Mostafa Eslami; Mohammad Mirzazadeh

Approximate analytical study on Maxwell and Williamson nanofluid flow

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

10.22034/cmde.2025.66259.3085

Vembu Ananthaswamy; Manoharan Kalaivani; Sathyamoorthy Sivasankari

Traveling wave solutions of nonlinear evolution equations via the F-expansion method

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

10.22034/cmde.2025.66357.3092

Salim Saeed Mahmood; Muhammad Amin Sadiq Murad; Shilan Sofe Omer; Shaima Sofe Omer; Shaima Jamel Saeed

A NOVEL FORMULA FOR CONJUGATE GRADIENT METHOD IMPULSE NOISE REDUCTION FROM IMAGES

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

10.22034/cmde.2025.69580.3434

Yousif Ali Mohammed; Basim Abbas Hassan

A Study on Approximate Controllability of Hilfer Fractional Stochastic Evolution Equations of Order $1<\beta<2$

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

10.22034/cmde.2025.61360.2637

Nandhaprasadh K; Udhayakumar Ramalingam

PREDICTING RETAIL INVESTOR BEHAVIOR USING DYNAMIC GRAPH NEURAL NETWORKS

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

10.22034/cmde.2025.67669.3236

Zahra Najafabadipour; Jamal Valipour; Majid Talebpoor; Pourya Zareeihemat; Hero Isavi

Investigating closed form soliton solutions to the Riemann wave equation by using two novel methods

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

10.22034/cmde.2024.62630.2773

Hamood Ur Rehman; Aamna Amer; Hameed Ashraf; Mostafa Eslami; Mohammad Mirzazadeh

AN ENHANCED CONJUGATE GRADIENT ALGORITHM BASED AN PERRY’S CONDITION FOR EFFICIENT IMAGE RESTORATION

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

10.22034/cmde.2025.70382.3492

SAIF A. Hussein; Ayad Abdulaziz Mahmood; Basim Abbas Hassan

Numerical Solution of Semiconductor Medium Under Photothermal Theory by Finite-Difference Method

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

10.22034/cmde.2025.60540.2593

Praveen Ailawalia; Vikas Sharma; Joginder Singh

A new two-step iteration method for solving non-Hermitian positive definite linear systems

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

10.22034/cmde.2025.68808.3368

Mehdi Makhdomi; Davod Khojasteh Salkuyeh; Morad Ahmadnasab

Analytical Wave Solutions of (n+1)-Dimensional Generalized KP Equation

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

10.22034/cmde.2025.62346.2741

Ali Danladi; Hadi Rezazadeh; Ibrahim Isa Adamu; Mohammad Ali Hosseinzadeh; Soheil Salahshour

Investigating Novel Optical Soliton Solutions and qualitative analysis of the traveling waves for a Kolmogorov-Petrovsky-Piskunov Equation

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

10.22034/cmde.2025.66426.3098

Seydi Battal Gazı Karakoc; Derya Yıldırım Sucu; Asit Saha; Khalid K. Ali

A multi-interval continuous collocation method for Volterra integral equations of the third kind

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

10.22034/cmde.2025.67851.3244

Ali Davari

An Iterative Algorithm to Approximate the Solution of Fractional Two-Dimensional Nonlinear Functional Integral Equations in a Banach Space

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

10.22034/cmde.2025.68614.3330

Samaneh Darvishi Khezri; Mohsen Rabbani; Reza Arab; Vahid Dadashi

Enhancing DDoS Attack Detection in Software Defined Networks with Deep Reinforcement Learning

Articles in Press, Accepted Manuscript, Available Online from 31 December 2025

10.22034/cmde.2025.65880.3056

Khashayar Delavari; Mehran Shetabi; Sayed Alireza Sadrossadat

An approach for solving the generalized fractional Burgers-Fisher equation

Articles in Press, Accepted Manuscript, Available Online from 31 December 2025

10.22034/cmde.2025.69053.3389

Zaid Alkhafaji; Ali Khani

Numerical Solution of Variable-Order Fractional Bagley-Torvik Equation Using Multi-Domain Legendre Collocation Approach

Articles in Press, Accepted Manuscript, Available Online from 01 January 2026

10.22034/cmde.2025.70146.3472

Negisa Ayazi; Payam Mokhtary

On a discrete collocation method for solving nonlinear system of two-dimensional integral equations

Articles in Press, Accepted Manuscript, Available Online from 01 January 2026

10.22034/cmde.2025.69615.3438

Falah Ibrahim Neamah; Saeed Sohrabi; Esmaeil Najafi

Vieta-Fibonacci Wavelet-Based Numerical Solutions for Population Growth Models

Articles in Press, Accepted Manuscript, Available Online from 01 January 2026

10.22034/cmde.2025.67333.3199

Jay Kishore Sahani; Nikhil Khanna; Gopal Datt; Dumitru Baleanu

Optical solitons and bifurcation analysis in the cubic quintic septic nonic nonlinear Schrödinger equation using modified extended direct algebraic method

Articles in Press, Accepted Manuscript, Available Online from 05 January 2026

10.22034/cmde.2025.68670.3342

Noshirvan Adil; Eman H. M. Abdullah; Hamdy M. Ahmed; Afaf A. S. Zaghrout; Youssra S. Ali; Wafaa B. Rabie

Implicit numerical approach for nonlinear fractional differential equations with a time non-sigular kernel and mixed boundary conditions

Articles in Press, Accepted Manuscript, Available Online from 15 January 2026

10.22034/cmde.2025.62977.2807

Leyla Azami; Amir Hossein Refahi Sheikhani; Hashem Saberi Najafi

Analysis of approximate solutions for neural signal propagation via the fractional Fitzhugh-Nagumo model

Articles in Press, Accepted Manuscript, Available Online from 15 January 2026

10.22034/cmde.2025.66486.3107

Hegagi Mohamed Ali

Analytical Solutions for the Generalized (2+1)-D Shallow Water Wave Equation via a Novel Generalized Abel Equation with Variable Coefficients

Articles in Press, Accepted Manuscript, Available Online from 15 January 2026

10.22034/cmde.2025.67447.3217

Mir Sajjad Hashemi; Mustafa Bayram; Farzaneh Alizadeh; Samad Kheybari; Kamyar Hosseini

Stability analysis, bifurcation analysis and exact solution of van der Waals form for the fluid granular matter

Articles in Press, Accepted Manuscript, Available Online from 01 February 2026

10.22034/cmde.2025.62567.2768

Temesgen Desta Leta; Nafiseh Esfandian; Jamilu Sabi’u; Hadi Rezazadeh

Numerical Solution of Fractional Reaction-Diffusion Equations using an Advanced Physics-Informed Neural Network

Articles in Press, Accepted Manuscript, Available Online from 01 February 2026

10.22034/cmde.2025.65970.3065

Maryam Mohammadi; Reza Mokhtari; Mohadese Ramezani

Existence and Ulam-Hyers-Rassias Stability of Solutions for Integrodifferential Equations Using Hilfer-Katugampola Fractional Derivatives

Articles in Press, Accepted Manuscript, Available Online from 01 February 2026

10.22034/cmde.2025.63882.2870

Helima Chahdane; Nadjat Abada; Nouria Arar; Najla Alghamdi; Mohammed S. Abdo

Solving Fractional Differential Equations involving YAC Operator using ANN

Articles in Press, Accepted Manuscript, Available Online from 01 February 2026

10.22034/cmde.2025.66444.3102

Manoj Kumar; Pranay Goswami

Hybrid Wave Solutions of a (2+1)-Dimensional 4th-order Evolution Equation using Bilinear Neural Network Method

Articles in Press, Accepted Manuscript, Available Online from 08 February 2026

10.22034/cmde.2026.69195.3400

Shailendra Singh; Abhilipsa Panda; Mohammad Safi Ullah

A novel meshless technique based on generalized moving Kriging interpolation for Caputo-Hadamard time and Riesz space fractional reaction-diffusion equation

Articles in Press, Accepted Manuscript, Available Online from 15 February 2026

10.22034/cmde.2025.68697.3347

Ali Habibirad; Yadollah Ordokhani

Cardinal Pseudospectral method for solving the periodic and semiperiodic Sturm-Liouville problem

Articles in Press, Accepted Manuscript, Available Online from 19 February 2026

10.22034/cmde.2026.70632.3522

Mohammad Shahriari; Azam Masoudi; Behzad Nemati Saray

Efficient Implicit Numerical Methods for Nonlinear Fisher Equation

Articles in Press, Accepted Manuscript, Available Online from 19 February 2026

10.22034/cmde.2025.66534.3114

Richa Kumari; Vikash Vimal; Amrita .

Fuzzy Growing Map for Analyzing Cryptocurrency Market Trends

Articles in Press, Accepted Manuscript, Available Online from 19 February 2026

10.22034/cmde.2025.69796.3445

Pooria Poorakbari; Samira Mohamadi; Zahra Najafabadipour; Majid Talebpoor; Linda Manokians; Hero Isavi

Advanced conjugate gradient technique for image restoration

Articles in Press, Accepted Manuscript, Available Online from 04 April 2026

10.22034/cmde.2026.70442.3504

Basim Abbas Hassan; SAIF A. HUSSEIN; AYAD ABDULAZIZ MAHMOOD

An inverse problem of finding an absorption coefficient in a one-dimensional parabolic differential equation

Articles in Press, Accepted Manuscript, Available Online from 09 April 2026

10.22034/cmde.2026.64614.2931

Kamal Rashedi; Maryam Ghorbani

Exploring the fractional optical solitary wave structures with parametric effects to the generalized coupled nonlinear Schrodinger-KdV Equations

Articles in Press, Accepted Manuscript, Available Online from 09 April 2026

10.22034/cmde.2025.65850.3052

Jan Muhammad; Usman Younas; Muhammad Amin Sadiq Murad

Lie bifurcation theory of the full extended Korteweg-de Vries equation

Articles in Press, Accepted Manuscript, Available Online from 09 April 2026

10.22034/cmde.2026.66435.3099

Mehdi Nadjafikhah

Dynamics of wave propagation for (1+2)-dimensional Chiral nonlinear Schrodinger in quantum theory

Articles in Press, Accepted Manuscript, Available Online from 09 April 2026

10.22034/cmde.2025.66470.3105

Sibel Tarla; Karmina K. Ali; Abdullahi Yusuf; Soheil Salahshour

Optical soliton solutions of Gilson pickering equation and modulation instability in optical fiber

Articles in Press, Accepted Manuscript, Available Online from 10 April 2026

10.22034/cmde.2025.66474.3106

Khalid K. Ali; Tasneem K. Adel; Kamal R. Raslan; Afaf A. S. Zaghrout

Fuzzy Partial Differential Equations with Fuzzy Coefficients for S-Linearly Correlated Fuzzy Processes

Articles in Press, Accepted Manuscript, Available Online from 10 April 2026

10.22034/cmde.2025.67894.3247

Estevão Esmi; Mina Shahidi; Laécio Carvalho de Barros; Tofigh Allahviranloo

An Efficient Sinc Polynomial Collocation Approach for Solving m-Dimensional Stochastic Volterra Integral Equations

Articles in Press, Accepted Manuscript, Available Online from 10 April 2026

10.22034/cmde.2026.69103.3395

Faezeh Bahmani; Ali Eftekhari

A Rapidly Convergent Iteration Scheme for Computing the Matrix Sign Function of Invertible Matrices

Articles in Press, Accepted Manuscript, Available Online from 12 April 2026

10.22034/cmde.2025.67379.3203

Malik Zaka Ullah; Abdulaziz Saeed Alqarni; Ali Saleh Alshomrani; Mohammed Almuzaini; Mir Asma

Computational analysis of fractal-fractional differential systems via Vieta-Lucas fractal-fractional operational matrices

Articles in Press, Accepted Manuscript, Available Online from 17 April 2026

10.22034/cmde.2025.66734.3149

Rakesh Kumar; Shivani Aeri; Dumitru Baleanu