Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634216 | Applied Mathematics and Computation | 2008 | 13 Pages |
Abstract
The objective of this paper is to present a comparative study of fitted-mesh finite difference method, B-spline collocation method and finite element method for general singularly perturbed two-point boundary value problems. Due to the small parameter ϵϵ, the boundary layer arises. We have taken a piecewise-uniform fitted-mesh to resolve the boundary layer and we have shown that fitted-mesh finite difference method has ϵϵ-uniform first order convergence, B-spline collocation method has almost second order ϵϵ-uniform convergence and Ritz–Galerkin method also has almost second order ϵϵ-uniform convergence. Two test examples have been solved to compare the maximum absolute error and rate of convergence of the methods.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
M.K. Kadalbajoo, Arjun Singh Yadaw, Devendra Kumar,