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Numerical solution of the sine-Gordon equation

Authors

Guo Ben-Yu, Pedro J Pascual, María J Rodriguez, Luis Vázquez

Publication date

1986/1/1

Journal

Applied Mathematics and computation

Volume

Issue

Pages

1-14

Publisher

Elsevier

Description

Two new difference schemes are proposed for the sine-Gordon equation. They have the advantage that there is a discrete energy which is conserved. Their stability and convergence is proved. Also we show some numerical computations using one of these schemes.

Total citations

Cited by 229

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Numerical solution of the sine-Gordon equation

G Ben-Yu, PJ Pascual, MJ Rodriguez, L Vázquez - Applied Mathematics and computation, 1986