NUMERICAL SOLUTION OF TIME-FRACTIONAL CAUCHY REACTION-DIFFUSION EQUATION USING ABOODH TRANSFORM METHOD

Authors

  • O.O. OLUBANWO Department of Mathematics, Olabisi Onabanjo University, Ago-Iwoye
  • A.T. TALABI Department of Physics, Olabisi Onabanjo University, Ago-Iwoye
  • A.O. OLASUPO Department of Mathematics, Olabisi Onabanjo University, Ago-Iwoye
  • M.A. AYODELE Open and Distance Learning Centre, Olabisi Onabanjo University, Ago-Iwoye

Keywords:

Aboodh transform, Caputo fractional derivative, Cauchy-diffusion equation. Diffusion equation, Time-Fractional Cauchy Reaction-Diffusion Equations.

Abstract

This study focused on numerical solution of time-fractional Cauchy reaction-diffusion equation by Aboodh
Transform Method. Three examples were considered to demonstrate the effectiveness of the proposed method.
The solution resulting from the proposed method are presented in series. Comparing the results obtained with
other existing methods, it was observed that the results are exactly equal. The result indicating that the Aboodh
Transform method is well suitable for solving such and related problems.

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Published

2021-12-27

Issue

Vol. 20 No. 5 (2021)

Section

Articles