A parameter robust numerical method for a system of two singularly perturbed convection-diffusion equations
The authors apply the analytical tools developed for a single singularly perturbed differential equation to a coupled system of two singularly perturbed ordinary differential equations. Such system is discretized using a numerical method, which is composed of an upwind finite difference operator on a piece-uniform Shishkin mesh. The mesh is composed of two transition points, which partition the domain into three subdomains. An asymptotic error bound for the numerical approximations is presented. Theoretical results are illustrated on a numerical example.
scientific article; zbMATH DE number 2116189