Numerical analysis of a high-order accurate compact finite difference scheme for the SRLW equation

作者：

Highlights：

• The fourth-order compact difference scheme for symmetric regularized long wave (SRLW) equation for a single nonlinear velocity form are developed.

• The scheme is four-time level linear scheme.

• The discrete conservation, priori estimate, solvability, convergence with fourth-order in space and second-order in time and stability of the present scheme are proved in detail.

• Numerical examples are given to support the theoretical analysis.

摘要

•The fourth-order compact difference scheme for symmetric regularized long wave (SRLW) equation for a single nonlinear velocity form are developed.•The scheme is four-time level linear scheme.•The discrete conservation, priori estimate, solvability, convergence with fourth-order in space and second-order in time and stability of the present scheme are proved in detail.•Numerical examples are given to support the theoretical analysis.

论文关键词：SRLW equation,Single nonlinear velocity equation,Compact finite difference scheme,The discrete energy method,Convergence

论文评审过程：Received 10 February 2021, Revised 11 November 2021, Accepted 25 November 2021, Available online 6 December 2021, Version of Record 6 December 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126837