Applied Decision Analytics

Vol. 2 No. 1 (2026): Applied Decision Analytics
Articles

Numerical Simulation of Mathematical Model of Fractional Order Partial Differential Equation by Asymptotic Homotopy Perturbatin Method

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  • Zakir Ullah,
  • Motasim Billah
Zakir Ullah
Department of Chemistry, Korea Advanced Institute of Science and Technology (KAIST), 34141 Daejeon, South Korea
Motasim Billah
Department of Engineering, University of Engineering and Technology Peshawar, KPK Pakistan

Published 2026-01-04

Keywords

  • Fractional order CRDE,
  • Caputo Derivative,
  • FOPDEs,
  • AHPM

Copyright (c) 2025 Zakir Ullah, Motasim Billah (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Ullah, Z., & Billah, M. (2026). Numerical Simulation of Mathematical Model of Fractional Order Partial Differential Equation by Asymptotic Homotopy Perturbatin Method. Applied Decision Analytics , 2(1), 1-14. https://ada-journal.org/index.php/ada/article/view/6

Abstract

In the proposed manuscript, a model of the fractional-order partial Cauchy reaction-diffusion equation (CRDE) is solved by a tested and a recent technique, Asymptotic Homotopy Perturbation Method. This technique is a powerful tool for the numerical treatment of various mathematical models of order fractional of linear and non-linear order. CRDE of order-fractional is one of these mathematical models is employed across various fields such as physics, ecology, biology and engineering to model spatial effects and dynamic processes involving both diffusion and chemical reactions. The Caputo order-fractional derivative can also be used for this purpose. Further solution of the concerned model can be provided in the form of a series. The computational work is done by MATLAB software. 

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