On a fourth-order finite-difference method for singularly perturbed boundary value problems
作者:
Highlights:
•
摘要
We present a fourth-order finite-difference method for singularly perturbed one-dimensional reaction-diffusion problem. The problem is discretized using a Bakhvalov-type mesh. We give a uniform convergence with respect to the perturbation parameter. Numerical examples are presented which demonstrate computationally the fourth order of the method.
论文关键词:Finite-differences,Boundary value problem,Nonequidistant mesh,Singular perturbation
论文评审过程:Available online 25 May 2008.
论文官网地址:https://doi.org/10.1016/j.amc.2008.05.103