Padé schemes with Richardson extrapolation for the sine-Gordon equation.

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

Communications in Nonlinear Science and Numerical Simulation（2020）

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摘要

•Four novel high-order Pade numerical methods for the sine-Gordon equation.•Richardson extrapolation in time is used to increase the order of accuracy.•High-order methods are more cost-effective than low-order energy-conserving ones.

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关键词

Sine-Gordon equation,Padé numerical methods,Implicit time integration,Richardson extrapolation

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