Parameter Uniform Numerical Method for a Weakly Coupled System of Second Order Singularly Perturbed Turning Point Problem with Robin Boundary Conditions. (2015)

• Record Type: Journal Article
• Authors: Geetha, N.; Tamilselvan, A.
• Is Part Of: Procedia engineering. Volume 127(2015)
• Page Start: 670
• Page End: 677
• Publication Date: 2015
• Subjects: Singularly perturbed turning point problems -- Boundary value problems -- Finite difference scheme -- Shishkin mesh -- Parameter uniform -- Robin boundary conditions; Engineering -- Congresses; Engineering -- Periodicals; Engineering; Conference proceedings; Periodicals; 620.005
• DOI: 10.1016/j.proeng.2015.11.363
• Languages: English
• ISSNs: 1877-7058

Abstract

Abstract: In this paper, a parameter uniform numerical method for a weakly coupled system of two second order singularly perturbed turning point problems with Robin boundary conditions is presented. 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 and it is of order O ( N −1 ln N ). Numerical examples are given which validate theoretical results.