Numerical method for a system of second order singularly perturbed turning point problems

In this paper, a parameter uniform numerical method based on Shishkin mesh is suggested to solve a system of second order singularly perturbed differential equations with a turning point exhibiting boundary layers. It is assumed that both equations have a turning point at the same point. An appropriate piecewise uniform mesh is considered and a classical finite difference scheme is applied on this mesh. An error estimate is derived by using supremum norm which is O(N^{-۱}(\ln N)^۲). Numerical examples are given to validate theoretical results.

کلیدواژه ها:

singularly perturbed turning point problems ، boundary value problems ، finite difference scheme ، Shishkin mesh and parameter uniform