Computer algebra-perturbation solution to a nonlinear wave equation
type: Item
instance of: scholarly article
title: Computer algebra-perturbation solution to a nonlinear wave equation
zbMATH Open document ID: 0828.65113
DOI: 10.1007/BF02459341
author: Mingqi Wang
author: Shiqiang Dai
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1995-12-06T00:00:00Z
review text: An asymptotic solution to the Cauchy problem of a nonlinear wave equation is found by using a perturbation method with MATHEMATICA. The comparison of the derived asymptotic solution and the numerical solution shows that they coincide for small values of the perturbation parameter \(\varepsilon\), and agree well for large \(\varepsilon\).
Mathematics Subject Classification ID: 65M25
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 779183
zbMATH Keywords: computer algebra-perturbation solution
zbMATH Keywords: asymptotic solution
zbMATH Keywords: Cauchy problem
zbMATH Keywords: nonlinear wave equation
zbMATH Keywords: perturbation method
zbMATH Keywords: MATHEMATICA
reviewed by: Plamen Yalamov
describes a project that uses: Mathematica
MaRDI profile type: Publication
cites work: Q3895818
cites work: Perturbation methods in applied mathematics
cites work: Perturbation methods, bifurcation theory and computer algebra
full work available at URL: https://doi.org/10.1007/bf02459341
OpenAlex ID: W2039595649
description: scientific article; zbMATH DE number 779183