On the use of high order difference methods for the system of one space second order nonlinear hyperbolic equations with variable coefficients
type: Item
instance of: scholarly article
title: On the use of high order difference methods for the system of one space second order nonlinear hyperbolic equations with variable coefficients
zbMATH Open document ID: 0877.65066
DOI: 10.1016/0377-0427(96)00011-8
author: Yanyan Li
published in: Journal of Computational and Applied Mathematics
publication date: 1997-11-12T00:00:00Z
review text: Three level-implicit difference schemes of order 4 are developed for initial-boundary value problems for a linear system of wave equations with variable coefficients and nonlinear lower-order terms. The difference scheme is particularly adapted for the singular lower-order term arising at the origin when solving the scalar wave equations in cylindrical and spherical symmetry. A linear stability analysis is performed. The convergence order is verified on numerical examples.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 932497
zbMATH Keywords: difference methods
zbMATH Keywords: linear wave equation
zbMATH Keywords: variable coefficients
zbMATH Keywords: cylindrical and spherical symmetry
zbMATH Keywords: linear stability analysis
zbMATH Keywords: convergence
zbMATH Keywords: numerical examples
reviewed by: Rolf Jeltsch
MaRDI profile type: Publication
full work available at URL: 0377-0427(96)00011-8
OpenAlex ID: W1988703535
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description: scientific article; zbMATH DE number 932497