Solving heat and wave-like equations using He's polynomials
type: Item
instance of: scholarly article
title: Solving heat and wave-like equations using He's polynomials
zbMATH Open document ID: 1181.80014
DOI: 10.1155/2009/427516
author: Syed Tauseef Mohyud-Din
published in: Mathematical Problems in Engineering
publication date: 2009-11-13T00:00:00Z
full work available at URL: https://eudml.org/doc/45843
review text: Summary: We use He's polynomials which are calculated form homotopy perturbation method (HPM) for solving heat and wave-like equations. The proposed iterative scheme finds the solution without any discretization, linearization, or restrictive assumptions. Several examples are given to verify the reliability and efficiency of the method. The fact that suggested technique solves nonlinear problems without using Adomian's polynomials is a clear advantage of this algorithm over the decomposition method.
Mathematics Subject Classification ID: 80M25
Mathematics Subject Classification ID: 78M25
Mathematics Subject Classification ID: 65L15
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35A25
zbMATH DE Number: 5632485
Wikidata QID: Q58648996
MaRDI profile type: Publication
OpenAlex ID: W2109144491
cites work: Modified variational iteration method for heat and wave-like equations
cites work: Exact solutions for heat-like and wave-like equations with variable coefficients.
cites work: Closed-Form Solution of the Differential Equation (∂2∂x∂y+ax∂∂x+by∂∂y+cxy+∂∂t)P=0 by Normal-Ordering Exponential Operators
cites work: AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING
cites work: Recent development of the homotopy perturbation method
cites work: SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
cites work: Homotopy perturbation method for solving boundary value problems
cites work: Comparison of homotopy perturbation method and homotopy analysis method
cites work: Homotopy perturbation method for bifurcation of nonlinear problems
cites work: The homotopy perturbation method for nonlinear oscillators with discontinuities.
cites work: A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
cites work: He's homotopy perturbation method for calculating Adomian polynomials
cites work: Beyond Adomian polynomials: He polynomials
cites work: TRAVELING WAVE SOLUTIONS OF SEVENTH-ORDER GENERALIZED KdV EQUATIONS BY VARIATIONAL ITERATION METHOD USING ADOMIAN'S POLYNOMIALS
cites work: Homotopy perturbation method for solving fourth-order boundary value problems
cites work: Variational iteration method for unsteady flow of gas through a porous medium using He's polynomials and Padé approximants
cites work: Comparison and coupling of polynomials for Flierl-Petviashivili equation
cites work: Homotopy perturbation method for solving sixth-order boundary value problems
cites work: He's homotopy perturbation method for a boundary layer equation in unbounded domain
description: scientific article; zbMATH DE number 5632485