Numerical solution of the fourth-order partial integro-differential equation with multi-term kernels by the Sinc-collocation method based on the double exponential transformation

作者：

Highlights：

• A Sinc-collocation method based on the double exponential (DE) transformation is proposed.

• The DE transformation for solving the fourth-order partial integro-differential equation with multiterm kernels is novel.

• The DE scheme in this paper is superexponentially convergent in the spatial direction.

• The numerical experiments are performed to verify the theoretical analysis and show the high efficiency of our method by comparing with that of the single exponential (SE) transformation.

摘要

•A Sinc-collocation method based on the double exponential (DE) transformation is proposed.•The DE transformation for solving the fourth-order partial integro-differential equation with multiterm kernels is novel.•The DE scheme in this paper is superexponentially convergent in the spatial direction.•The numerical experiments are performed to verify the theoretical analysis and show the high efficiency of our method by comparing with that of the single exponential (SE) transformation.

论文关键词：Fourth-order partial integro-differential equation,Multi-term kernels,Sinc-collocation method,Double exponential transformation,Convergence analysis

论文评审过程：Received 23 May 2020, Revised 27 July 2020, Accepted 20 September 2020, Available online 9 October 2020, Version of Record 9 October 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125693