Numerical solution of the sine-Gordon equation

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摘要

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.

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论文评审过程:Available online 22 March 2002.

论文官网地址:https://doi.org/10.1016/0096-3003(86)90025-1