Second order difference scheme for singularly perturbed boundary turning point problems

Document Type : Research Article


Department of Mathematics, Bharathidasan University, Tiruchirappalli 620 024, Tamilnadu, India


A  singularly perturbed convection diffusion  equation with boundary  turning point  is considered in this paper. A higher order method on piecewise uniform Shishkin mesh is suggested to solve this problem. We  prove that this method is of  order $O(N^{-2}(\ln N)^2)$. Numerical results are given which validate  the analytical results.