Solution of Fishers equation using homotopy perturbation Aboodh transform method

Authors

  • Julius Adepoju Department of Mathematical Sciences, Faculty of Science, Olabisi Onabanjo University, Nigeria
  • Oludapo Olubanwo Department of Mathematical Sciences, Faculty of Science, Olabisi Onabanjo University, Nigeria
  • Abiodun Ajani Department of Mathematical Sciences, Faculty of Science, Olabisi Onabanjo University, Nigeria
  • Sunday Idowu Department of Mathematical Sciences, Faculty of Science, Olabisi Onabanjo University, Nigeria

DOI:

https://doi.org/10.56947/amcs.v23.301

Keywords:

He’s Polynomial, Reaction Diffusion Equation, Partial Differential Equation, Homotopy Perturbation Method

Abstract

In this study, a nonlinear one-dimensional reaction Diffusion Equation called Fisher’s equation is solved using Aboodh Transform coupled with HPM. This method is applied to the general one-dimensional Fishers equation. This technique is demonstrated with three unique examples with different initial conditions solved with the values of β=1 and a=0. This simplicity of Aboodh transform makes the rapid rate of convergence from approximate to exact solution answers makes it easy and dependable.

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Published

2024-04-26

Issue

Section

Articles