A parameter uniform difference scheme for singularly perturbed parabolic delay differential equation with Robin type boundary condition

作者:

Highlights:

• Singularly perturbed time delay partial differential equation is considered.

• Boundary condition is of Robin type.

• A parameter uniform numerical method is suggested.

• An error estimate is derived and the error is of order two.

• An illustration is provided.

摘要

•Singularly perturbed time delay partial differential equation is considered.•Boundary condition is of Robin type.•A parameter uniform numerical method is suggested.•An error estimate is derived and the error is of order two.•An illustration is provided.

论文关键词:Parabolic differential equations,Delay,Singularly perturbed problem,Finite difference scheme,Shishkin mesh

论文评审过程:Received 14 December 2015, Accepted 10 October 2016, Available online 26 October 2016, Version of Record 26 October 2016.

论文官网地址:https://doi.org/10.1016/j.amc.2016.10.027