A collocation method to solve the parabolic-type partial integro-differential equations via Pell–Lucas polynomials

作者：

Highlights：

• A novel method based on Pell–Lucas polynomials is presented to solve parabolic-type partial integro-differential equations.

• For convenience in practice, the method is created based on matrices.

• Error analysis is studied and numerical applications are made.

• The method gives the effective results and also CPU time(s) of the method is low.

摘要

•A novel method based on Pell–Lucas polynomials is presented to solve parabolic-type partial integro-differential equations.•For convenience in practice, the method is created based on matrices.•Error analysis is studied and numerical applications are made.•The method gives the effective results and also CPU time(s) of the method is low.

论文关键词：Collocation method,Error analysis,Partial integro-differential equations,Pell–Lucas polynomials

论文评审过程：Received 14 October 2021, Revised 25 December 2021, Accepted 15 January 2022, Available online 2 February 2022, Version of Record 2 February 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.126956