A robust spline difference method for robin-type reaction-diffusion problem using grid equidistribution
作者：
Highlights：
• A spline discretization technique for reaction-diffusion singularly perturbed boundary value problems with robin-boundary conditions is presented.
• Proposed technique uses a mix of cubic and exponential splines.
• Proposed technique makes use of layer adaptive grid.
• Proposed technique is parameter-uniform second-order convergent.
• Proposed technique is numerically stable.
摘要
•A spline discretization technique for reaction-diffusion singularly perturbed boundary value problems with robin-boundary conditions is presented.•Proposed technique uses a mix of cubic and exponential splines.•Proposed technique makes use of layer adaptive grid.•Proposed technique is parameter-uniform second-order convergent.•Proposed technique is numerically stable.
论文关键词：Singularly perturbed boundary value problems,Robin-type reaction-diffusion problems,Grid equidistribution,Spline difference scheme,Cubic and exponential splines,Parameter-uniform discretization
论文评审过程：Received 29 April 2020, Revised 30 June 2020, Accepted 2 August 2020, Available online 26 August 2020, Version of Record 26 August 2020.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125597
