A reduced-order extrapolation central difference scheme based on POD for two-dimensional fourth-order hyperbolic equations

作者：

Highlights：

• The reduced-order extrapolating FD schemes are just developed by Luo’s research team Since 2013 (see [47], [48], [49], [50], [51], [52]) and a very new technique.

• The reduced-order extrapolation central difference scheme based on POD for two-dimensional fourth-order hyperbolic equations is first built by us.

• We provide theoretical analysis and examples to show the advantage of our method.

摘要

•The reduced-order extrapolating FD schemes are just developed by Luo’s research team Since 2013 (see [47], [48], [49], [50], [51], [52]) and a very new technique.•The reduced-order extrapolation central difference scheme based on POD for two-dimensional fourth-order hyperbolic equations is first built by us.•We provide theoretical analysis and examples to show the advantage of our method.

论文关键词：Two-dimensional fourth-order hyperbolic equations,Classical central difference scheme,Proper orthogonal decomposition,Reduced-order extrapolation central Difference scheme,Error estimate

论文评审过程：Received 15 April 2016, Accepted 15 May 2016, Available online 6 June 2016, Version of Record 6 June 2016.

论文官网地址：https://doi.org/10.1016/j.amc.2016.05.032