A computational approach for a two-parameter singularly perturbed system of partial differential equations with discontinuous coefficients

作者：

Highlights：

• This paper develops a numerical method for a two-parameter singularly perturbed coupled system of reaction-convection-diffusion equations with non-smooth data

• The considered problem has not appeared in the literature

• A uniform mesh in the temporal domain and a piecewise uniform mesh in the spatial domain have been considered to get acceptable solutions.

• A theoretical study is addressed, which reveals that the proposed method is almost first-order convergent, in agreement with the numerical results presented.

摘要

•This paper develops a numerical method for a two-parameter singularly perturbed coupled system of reaction-convection-diffusion equations with non-smooth data•The considered problem has not appeared in the literature•A uniform mesh in the temporal domain and a piecewise uniform mesh in the spatial domain have been considered to get acceptable solutions.•A theoretical study is addressed, which reveals that the proposed method is almost first-order convergent, in agreement with the numerical results presented.

论文关键词：Jump discontinuity,Non-smooth data,Parabolic type,Shishkin mesh,Singularly perturbed problem,Two parameter system

论文评审过程：Received 4 June 2022, Revised 30 June 2022, Accepted 13 July 2022, Available online 10 August 2022, Version of Record 10 August 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127409