TITLE:
Uniform Difference Scheme on the Singularly Perturbed System
AUTHORS:
Ilhame G. Amiraliyeva
KEYWORDS:
Singular Perturbation; Linear System; Difference Scheme; Uniform Convergence
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.9,
September
27,
2012
ABSTRACT: This paper is concerned with the numerical solution for singular perturbation system of two coupled second ordinary differential equations with initial and boundary conditions, respectively. Fitted finite difference scheme on a uniform mesh, whose solution converges pointwise independently of the singular perturbation parameter is constructed and analyzed.