Study of convergence of homotopy perturbation method for systems of partial differential equations
type: Item
instance of: scholarly article
title: Study of convergence of homotopy perturbation method for systems of partial differential equations
zbMATH Open document ID: 1189.65246
author: J. Biazar
author: Hossein Aminikhah
publication date: 2010-06-28T00:00:00Z
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 5727259
zbMATH Keywords: Brusselator equations
zbMATH Keywords: Burgers' equations
zbMATH Keywords: homotopy perturbation method
zbMATH Keywords: convergence sequence
MaRDI profile type: Publication
full work available at URL: j.camwa.2009.03.030
OpenAlex ID: W1973545651
cites work: The decomposition method applied to systems of partial differential equations and to the reaction-diffusion Brusselator model
cites work: The two-dimensional reaction--diffusion Brusselator system: A dual-reciprocity boundary element solution.
cites work: A fully implicit finite-difference scheme for two-dimensional Burgers' equations
cites work: Homotopy perturbation technique
cites work: A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
cites work: Comparison of homotopy perturbation method and homotopy analysis method
cites work: Homotopy perturbation method: a new nonlinear analytical technique
cites work: The homotopy perturbation method for nonlinear oscillators with discontinuities.
cites work: Application of homotopy perturbation method to nonlinear wave equations
cites work: Homotopy perturbation method for solving boundary value problems
cites work: Homotopy perturbation method for fractional KdV equation
cites work: Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method
cites work: Homotopy-perturbation method for pure nonlinear differential equation
cites work: The homotopy-perturbation method applied for solving complex-valued differential equations with strong cubic nonlinearity
cites work: He's homotopy perturbation method for systems of integro-differential equations
cites work: Application of homotopy-perturbation and variational iteration methods to nonlinear heat transfer and porous media equations
cites work: He's homotopy perturbation method for solving systems of Volterra integral equations of the second kind
cites work: Exact solutions for non-linear Schrödinger equations by He's homotopy perturbation method
cites work: The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
cites work: Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder
cites work: Application of variational iteration method to nonlinear differential equations of fractional order
cites work: The use of variational iteration method, differential transform method and Adomian decomposition method for solving different types of nonlinear partial differential equations
cites work: Numerical solution for special nonlinear Fredholm integral equation by HPM
cites work: Homotopy perturbation method for bifurcation of nonlinear problems
cites work: He's variational iteration method for fourth-order parabolic equations
DOI: 10.1016/J.CAMWA.2009.03.030
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 5727259