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Research Article Open access CC BY 4.0

The Solution of Fractional Diffusion-reaction Equation Via the Regular Perturbation Method (RPM)

Bationo Jérémie Yiyuréboula, Yaya Moussa, Bassono Francis

Journal of Advances in Mathematics and Computer Science · pp. 90–104 · Published 25 Nov 2022

10.9734/jamcs/2022/v37i101718

Abstract

In this paper, we implement Regular Perturbation Method (RPM) of the Solving fractional diffusion-reaction equation, in order to determine the exact analytical solutions of some linear fractional diffusion-reaction equation. In general, the solving using this method allow to obtain exact or approximate solutions. For the case of the diffusion and diffusion-convection equations solved in this document, the solutions obtained are exact. By comparing these solutions with those obtained by other researchers using other methods for a certain value of the parameter \(\alpha\), we obtain the same results.

Linear fractional diferential equation regular perturbation method Mittag-Leer Caputo fractional derivative or integral

References (5)

  1. 1 Computational study for a class of time-dependent singularly perturbed parabolic partial differential equation through tension spline [DOI]
  2. 2 Computational results and analysis for a class of linear and nonlinear singularly perturbed convection delay problems on Shishkin mesh [DOI]
  3. 3 Numerical simulation for a class of singularly perturbed convection delay problems [DOI]
  4. 4 A Numerical Algorithm Based on Tension Spline Scheme for Solving Singularly Perturbed Differential Difference Equations with Shifts [DOI]
  5. 5 The Solutions of the Linear Fractional Diffusion and Diffusion-convection Equations via the Regular Perturbation Method (RPM) [DOI]

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