.png){kind=icon}
.png){kind=icon}
Return
A robust spline difference method for robin-type reaction-diffusion problem using grid equidistribution
.png){kind=icon}
PRE
AI
DOI：10.1016/j.amc.2020.125597.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
This paper presents a numerical approximation technique to solve reaction-diffusion singularly-perturbed differential equation with robin-type boundary conditions. The proposed technique applies cubic splines to discretize the robin-boundary conditions and exponential splines to generate the solution of singularly perturbed differential equation at the internal nodes of a layer adapted grid. The layer adapted grid is generated by equidistributing a positive monitor function. The error estimates indicate that the proposed technique is parameter-uniform second-order convergent and is numerically stable. Numerical experiments have been performed and presented to corroborate the theoretical results. (C) 2020 Elsevier Inc. All rights reserved.
Keywords:
Singularly perturbed boundary value problems
Robin-type reaction-diffusion problems
Grid equidistribution
Spline difference scheme
Cubic and exponential splines
Parameter-uniform discretization
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
IF:
3.4
Papers:
2.3W
Citations:
3.3W