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

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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

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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

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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

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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

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Two Mode Version of Hirota-Ramani Equation and its Abundant Soliton Structures

Articles in Press, Accepted Manuscript, Available Online from 20 April 2026

10.22034/cmde.2025.68527.3318

Ulviye Demirbilek; Ali Danladi; Hasan Bulut; Imran Siddique; Barno Abdullaeva; Zaher M Yaseen

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Mathematical modelling with optimal control of infectious diseases with vaccination

Volume 14, Issue 2, April 2026, Pages 616-632

10.22034/cmde.2024.62350.2743

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

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Optical solitons and stability analysis for the improved Eckhaus equations

Volume 14, Issue 2, April 2026, Pages 690-700

10.22034/cmde.2024.62793.2784

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

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On the stability analysis and the solitonic wave structures for the Fordy-Gibbons-Jimbo-Miwa equation

Volume 13, Issue 3, July 2025, Pages 1022-1036

10.22034/cmde.2024.62009.2706

Fazal Badshah; Kalim U. Tariq; Hadi Rezazadeh; Medhat Ilyas; Mir Sajjad Hashemi; Mohammad Ali Hosseinzadeh

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Highly accurate spline collocation technique for the numerical solution of generalized Burgers-Fisher’s problem

Volume 13, Issue 2, March 2025, Pages 578-591

10.22034/cmde.2024.49824.2071

Vijay Kumar Kukreja; Shallu .

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An efficient computational method based on exponential B-splines for a class of fractional sub-diffusion equations

Volume 12, Issue 4, October 2024, Pages 719-740

10.22034/cmde.2024.57372.2398

Anshima Singh; Sunil Kumar; Higinio Ramos

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Modulation instability analysis, optical solitons and other solutions to the (2+1)-dimensional hyperbolic nonlinear Schrodinger’s equation

Volume 10, Issue 1, January 2022, Pages 179-190

10.22034/cmde.2020.38990.1711

Tukur Abdulkadir Sulaiman; Usman Younas; Muhammad Younis; Jamshad Ahmad; Shafqat Ur Rehman; Muhammad Bilal; Abdullahi Yusuf

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An exponential cubic B-spline algorithm for solving the nonlinear Coupled Burgers’ equation

Volume 9, Issue 4, October 2021, Pages 1109-1127

10.22034/cmde.2020.39486.1727

Ozlem Ersoy Hepson; Idris Dag

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Stability and bifurcation of fractional tumor-immune model with time delay

Volume 9, Issue 3, July 2021, Pages 692-709

10.22034/cmde.2020.37915.1672

Javad Alidousti; Elham Ghafari

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A mathematical analysis of Zika virus transmission with optimal control strategies

Volume 9, Issue 1, January 2021, Pages 117-145

10.22034/cmde.2019.34715.1585

Naba Goswami; B Shanmukha

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Stability analysis of third derivative multi-step methods for stiff initial value problems

Volume 8, Issue 3, August 2020, Pages 564-572

10.22034/cmde.2020.28604.1395

Zohreh Eskandari; Mohammad Shafi Dahaghin

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Stabilization of linear systems of delay differential equations by the delayed feedback method

Volume 7, Issue 2, April 2019, Pages 302-318

Mohammad Mousa-Abadian; Sayed Hodjatollah Momeni-Masuleh; Mohammad Haeri

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