Padé numerical schemes for the sine-Gordon equation.

Francisca Martin-Vergara,Francisco Rus,Francisco R. Villatoro

Applied Mathematics and Computation（2019）

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摘要

•Four novel, high-order, Padé numerical methods are developed for the sine-Gordon equation.•High-order methods are more cost-effective than low-order energy-conserving ones.•In long-time integration, some recommendations of the selection of the parameters of the method are given.

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关键词

Sine-Gordon equation,Padé numerical methods,Implicit time integration,Solitons

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