Communications of the
Korean Mathematical Society CKMS

A class of systems of singularly perturbed convection diffusion type equations with integral boundary conditions is considered. A numerical method based on a finite difference scheme on a Shishkin mesh is presented. The suggested method is of almost first order convergence. An error estimate is derived in the discrete maximum norm. Numerical examples are presented to validate the theoretical estimates.

Keywords: singular perturbation problems, finite difference scheme, Shishkin mesh, integral boundary condition, error estimate

MSC numbers: 65L11, 65L12, 65L20

Supported by: The first author wishes to thank Department of Science and Technology, Government of India, for the computing facilities under DST-PURSE phase II Scheme.