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2010 Convergence of Iterative Methods Applied to Generalized Fisher Equation
Sh. Sadigh Behzadi
Int. J. Differ. Equ. 2010: 1-16 (2010). DOI: 10.1155/2010/254675

Abstract

A generalized Fisher's equation is solved by using the modified Adomian decomposition method (MADM), variational iteration method (VIM), homotopy analysis method (HAM), and modified homotopy perturbation method (MHPM). The approximation solution of this equation is calculated in the form of series whose components are computed easily. The existence, uniqueness, and convergence of the proposed methods are proved. Numerical example is studied to demonstrate the accuracy of the present methods.

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Sh. Sadigh Behzadi. "Convergence of Iterative Methods Applied to Generalized Fisher Equation." Int. J. Differ. Equ. 2010 1 - 16, 2010. https://doi.org/10.1155/2010/254675

Information

Received: 12 April 2010; Accepted: 13 September 2010; Published: 2010
First available in Project Euclid: 26 January 2017

zbMATH: 1204.65096
MathSciNet: MR2746097
Digital Object Identifier: 10.1155/2010/254675

Rights: Copyright © 2010 Hindawi

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