期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 392, 期 -, 页码 -出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2020.125677
关键词
Boundary layers; Robin boundary conditions; Adaptive mesh; Equidistribution principle
资金
- Science and Engineering Research Board (SERB) [ECR/2017/000564]
- University Grant Commission, India [20/12/2015(ii)EU-V]
The paper presents a parameter-uniform numerical method for solving singularly perturbed parabolic reaction-diffusion problems with Robin boundary conditions, using a modified Euler scheme in time, a central difference scheme in space, and a special finite difference scheme for the boundary conditions. The method is proven to converge of order two in space and order one in time, with numerical experiments supporting the theoretical results.
In this work we develop a parameter-uniform numerical method on equidistributed meshes for solving a class of singularly perturbed parabolic reaction-diffusion problems with Robin boundary conditions. The discretization consists of a modified Euler scheme in time, a central difference scheme in space, and a special finite difference scheme for the Robin boundary conditions. A uniform mesh is used in the time direction while the mesh in the space direction is generated via the equidistribution of a suitably chosen monitor function. We discuss error analysis and prove that the method is parameter-uniformly convergent of order two in space and order one in time. To support the theoretical result, some numerical experiments are performed. (c) 2020 Elsevier Inc. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据