THE SOLUTION OF THE SINE-GORDON EQUATION USING THE METHOD OF LINES

Authors
BRATSOS AG TWIZELL EH
Citation
Ag. Bratsos et Eh. Twizell, THE SOLUTION OF THE SINE-GORDON EQUATION USING THE METHOD OF LINES, International journal of computer mathematics, 61(3-4), 1996, pp. 271-292
Citations number
4
Categorie Soggetti
Computer Sciences",Mathematics
Journal title
International journal of computer mathematics
ISSN journal
00207160 → ACNP
Volume
61
Issue
3-4
Year of publication
1996
Pages
271 - 292
Database
ISI
SICI code
Abstract
The method of lines is used to transform the initial/boundary-value pr oblem associated with the nonlinear hyperbolic sine-Gordon equation, i nto a first-order, nonlinear, initial-value problem. Numerical methods are developed by replacing the matrix-exponential term in a recurrenc e relation by rational approximants. The resulting finite-difference m ethods are analysed for local truncation errors, stability and converg ence. The results of a number of numerical experiments are given.