Numerical algorithm based on extended barycentric Lagrange interpolant for two dimensional integro-differential equations

作者：

Highlights：

• The scheme is a stable polynomial interpolation with low computational cost.

• The scheme can effectively solve 2D integro-differential equations with high accuracy.

• The numerical solution of 2D integro-differential equations converge to the exact solution fast.

• The scheme is easy to extend to solve weakly singular integro-differential equations of high order.

摘要

•The scheme is a stable polynomial interpolation with low computational cost.•The scheme can effectively solve 2D integro-differential equations with high accuracy.•The numerical solution of 2D integro-differential equations converge to the exact solution fast.•The scheme is easy to extend to solve weakly singular integro-differential equations of high order.

论文关键词：Two dimensional integro-differential equations,Two dimensional barycentric Lagrange interpolant,Differential matrix,Error estimation and convergence analysis

论文评审过程：Received 24 April 2020, Revised 6 December 2020, Accepted 19 December 2020, Available online 7 January 2021, Version of Record 7 January 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125931