Fourier collocation method for solving nonlinear Klein-Gordon equation
type: Item
instance of: scholarly article
title: Fourier collocation method for solving nonlinear Klein-Gordon equation
zbMATH Open document ID: 0791.65095
author: Weiming Cao
author: Ben-Yu Guo
published in: Journal of Computational Physics
publication date: 1994-04-17T00:00:00Z
review text: A Fourier collocation scheme is proposed for solving the periodic problem of the nonlinear Klein-Gordon equation. A discrete energy conservation law is shown to be satisfied by the approximate solution. Several lemmas are listed. Some numerical results are presented. The stability and convergence are also analysed.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 516914
zbMATH Keywords: periodic solution
zbMATH Keywords: Fourier collocation method
zbMATH Keywords: nonlinear Klein-Gordon equation
zbMATH Keywords: conservation law
zbMATH Keywords: numerical results
zbMATH Keywords: stability
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: jcph.1993.1183
OpenAlex ID: W2091919329
DOI: 10.1006/JCPH.1993.1183
Recommended article: Collocation and finite difference-collocation methods for the solution of nonlinear Klein-Gordon equation
Recommended article: Q4874933
Recommended article: A collocation method for generalized nonlinear Klein-Gordon equation
Recommended article: Q4858208
Recommended article: Q4688411
Recommended article: FD-method for solving the nonlinear Klein-Gordon equation
Recommended article: A generalized Jacobi collocation method for the nonlinear Klein-Gordon equation
Recommended article: Q4233708
Recommended article: Numerical solution of the nonlinear Klein-Gordon equation
Recommended article: A new approach to numerical solution of nonlinear Klein-Gordon equation
description: scientific article; zbMATH DE number 516914