Padé numerical schemes for the sine-Gordon equation

作者：

Highlights：

• 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.

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.

论文关键词：Sine-Gordon equation,Padé numerical methods,Implicit time integration,Solitons

论文评审过程：Available online 28 April 2019, Version of Record 28 April 2019.

论文官网地址：https://doi.org/10.1016/j.amc.2019.04.042