Enhanced multistage homotopy perturbation method: approximate solutions of nonlinear dynamic systems
type: Item
instance of: scholarly article
title: Enhanced multistage homotopy perturbation method: approximate solutions of nonlinear dynamic systems
zbMATH Open document ID: 1470.65129
DOI: 10.1155/2014/486509
author: Daniel Olvera
author: Alex Elías-Zúñiga
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We introduce a new approach called the enhanced multistage homotopy perturbation method (EMHPM) that is based on the homotopy perturbation method (HPM) and the usage of time subintervals to find the approximate solution of differential equations with strong nonlinearities. We also study the convergence of our proposed EMHPM approach based on the value of the control parameter \(h\) by following the homotopy analysis method (HAM). At the end of the paper, we compare the derived EMHPM approximate solutions of some nonlinear physical systems with their corresponding numerical integration solutions obtained by using the classical fourth order Runge-Kutta method via the amplitude-time response curves.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 7022472
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/486509
OpenAlex ID: W2013655812
Wikidata QID: Q59038682
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description: scientific article; zbMATH DE number 7022472