A Numerical Method for Singularly Perturbed Second Order Coupled System of Convection–Diffusion Robin Type Boundary Value Problems with Discontinuous Source Term

• Published in: International journal of applied and computational mathematics Vol. 1; no. 3; pp. 381 - 397
• Main Authors: Basha, P. Mahabub, Shanthi, V.
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01.09.2015
• Subjects: Applications of Mathematics; Computational Science and Engineering; Mathematical and Computational Physics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Nuclear Energy; Operations Research/Decision Theory; Original Paper; Theoretical; Fitted mesh method; Shishkin mesh; Singular perturbation problem; MSC 65L 10; Weakly coupled system; Robin boundary conditions; MSC CR G1.7; Discontinuous source term
• ISSN: 2349-5103; 2199-5796
• DOI: 10.1007/s40819-014-0021-7

In this paper, a numerical method for a weakly coupled system of singularly perturbed convection–diffusion second order ordinary differential equations with discontinuous source term subject to Robin type boundary conditions is presented. A fitted mesh method has been used to obtain the difference s...