The Approximate Solution of Newell Whitehead Segel and Fisher Equations Using The Adomian Decomposition Method

TL;DR

This paper applies the Adomian Decomposition Method to find approximate solutions for the Newell-Whitehead-Segel equation, comparing its effectiveness with previous exact solutions obtained via homotopy perturbation and iteration methods.

Contribution

It introduces the use of the Adomian Decomposition Method for solving the Newell-Whitehead-Segel equation and compares its results with existing methods.

Findings

Adomian Decomposition provides accurate approximate solutions.

Results are comparable to exact solutions from previous methods.

The method demonstrates efficiency in solving nonlinear differential equations.

Abstract

In the present work, we use the Adomian Decomposition method to find the approximate solution for some cases of the Newell whitehead segel nonlinear differential equation which was solved previously with exact solution by the Homotopy perturbation and the Iteration methods, then we compared the results.