TITLE:
Error Estimates for the Difference Method to System of Ordinary Differential Equations with Boundary Layer
AUTHORS:
Ilhame Amirali
KEYWORDS:
Singular Perturbation; Linear System; Difference Scheme; Uniform Convergence; Error Estimates
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.1 No.5,
November
12,
2013
ABSTRACT:
This work deals with the
numerical solution of singular perturbation system of ordinary differential
equations with boundary layer. For the numerical solution of this problem
fitted finite difference scheme on a uniform mesh is constructed and analyzed.
The uniform error estimates for the approximate solution are obtained.