Meshfree approach for solving multi-dimensional systems of Fredholm integral equations via barycentric Lagrange interpolation

作者：

Highlights：

• An improved Lagrange polynomial are provided for solving multi dimensional systems of Fredholm integral equations.

• The technique can improve the common disadvantages of the Lagrange interpolation, which is stable with special nodal distribution.

• Theoretical analysis and convincible numerical examples are provided.

• The method can easily extend to solve multi dimensional integro-differential problems.

摘要

•An improved Lagrange polynomial are provided for solving multi dimensional systems of Fredholm integral equations.•The technique can improve the common disadvantages of the Lagrange interpolation, which is stable with special nodal distribution.•Theoretical analysis and convincible numerical examples are provided.•The method can easily extend to solve multi dimensional integro-differential problems.

论文关键词：Meshfree approach,Barycentric Lagrange basis functions,Systems of Fredholm integral equations,Convergence analysis and error estimation

论文评审过程：Received 25 September 2017, Revised 8 November 2017, Accepted 10 October 2018, Available online 2 November 2018, Version of Record 2 November 2018.

论文官网地址：https://doi.org/10.1016/j.amc.2018.10.024