Rational homotopy perturbation method
type: Item
instance of: scholarly article
title: Rational homotopy perturbation method
zbMATH Open document ID: 1251.65119
DOI: 10.1155/2012/490342
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: The solution methods of nonlinear differential equations are very important because most of the physical phenomena are modelled by using such kind of equations. Therefore, this work presents a rational version of homotopy perturbation method (RHPM) as a novel tool with high potential to find approximate solutions for nonlinear differential equations. We present two case studies; for the first example, a comparison between the proposed method and the HPM method is presented; it will show how the RHPM generates highly accurate approximate solutions requiring less iteration, in comparison to results obtained by the HPM method. For the second example, which is a Van der Pol oscillator problem, we compare RHPM, HPM, and VIM, finding out that RHPM method generates the most accurate approximated solution.
Mathematics Subject Classification ID: 65L99
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 6106225
zbMATH Keywords: nonlinear differential equations
zbMATH Keywords: rational homotopy perturbation method
Wikidata QID: Q58905987
author: H. Vázquez-Leal
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/490342
OpenAlex ID: W2127616341
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description: scientific article; zbMATH DE number 6106225