No abstract

No abstract

In this paper, we discuss the parameter-uniform finite difference method for a coupled system of singularly perturbed convection-diffusion equations. The leading term of each equation is multiplied by a small but different magnitude positive parameter, which leads to the overlap and interact boundary layer. We analyze the boundary layer and construct a piecewise-uniform mesh on the variant of the Shishkin mesh. We prove that our schemes converge almost first-order uniformly with respect to small parameters. We present some numerical experiments to support our theoretical analysis.

No abstract

No abstract