Title of article :
Second order difference scheme for singularly perturbed boundary turning point problems
Author/Authors :
Janani Jayalakshmi, Govindarajan Department of Mathematics - Bharathidasan University, Tamilnadu, India , Tamilselvan, Ayyadurai Department of Mathematics - Bharathidasan University, Tamilnadu, India
Abstract :
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(lnN)2). Numerical results are given which validate the analytical results.
Keywords :
Singular perturbation , boundary turning point , hybrid difference scheme , Shishkin
Journal title :
Journal of Mathematical Modeling(JMM)
