Numerical solution of the sine-Gordon equation
type: Item
instance of: scholarly article
title: Numerical solution of the sine-Gordon equation
zbMATH Open document ID: 0622.65131
DOI: 10.1016/0096-3003(86)90025-1
author: B. George
published in: Applied Mathematics and Computation
publication date: 1986-01-01T00:00:00Z
review text: The authors propose two difference schemes which are discrete energy conserving for the sine-Gordon equation. The convergence and stability for the schemes are proved by using the energy method. Finally some numerical results are presented.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 81Q05
zbMATH DE Number: 4009757
zbMATH Keywords: discrete energy conservations
zbMATH Keywords: numerical examples
zbMATH Keywords: sine-Gordon equation
zbMATH Keywords: convergence
zbMATH Keywords: stability
zbMATH Keywords: energy method
Wikidata QID: Q60155458
reviewed by: Boling Guo
MaRDI profile type: Publication
full work available at URL: 0096-3003(86)90025-1
OpenAlex ID: W1987668201
cites work: A model unified field equation
cites work: Solitary Wave Collisions
cites work: Numerical solution of a nonlinear Klein-Gordon equation
cites work: Numerical solution of a nonlinear wave equation in polar coordinates
cites work: Energy Inequalities for the Solution of Differential Equations
description: scientific article; zbMATH DE number 4009757