Two conservative and linearly-implicit compact difference schemes for the nonlinear fourth-order wave equation

作者：

Highlights：

• Two conservative and linearly-implicit difference schemes for solving of nonlinear fourth-order wave equation are offered.

• Two implicit conservative compact difference schemes are also presented.

• The discrete energy conservation is obtained for the developed schemes, which preserve the original energy conservation.

• The convergence analysis of the new developed schemes are presented.

摘要

•Two conservative and linearly-implicit difference schemes for solving of nonlinear fourth-order wave equation are offered.•Two implicit conservative compact difference schemes are also presented.•The discrete energy conservation is obtained for the developed schemes, which preserve the original energy conservation.•The convergence analysis of the new developed schemes are presented.

论文关键词：Fourth-order wave equation,Beam equation,Conservative property,Compact finite difference scheme

论文评审过程：Received 8 September 2020, Revised 7 December 2020, Accepted 26 January 2021, Available online 24 February 2021, Version of Record 24 February 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126055