Title: A parameter robust computational method for a weakly coupled system of singularly perturbed convection-diffusion boundary value problem with discontinuous source terms
Authors: Pathan Mahabub Basha; Vembu Shanthi
Addresses: Government Polytechnic, Srikakulam-532005, Andhra Pradesh, India ' Department of Mathematics, National Institute of Technology, Tiruchirappalli-620 015, Tamil Nadu, India
Abstract: In this paper, a parameter robust computational method using an iterative procedure for a weakly coupled system of singularly perturbed convection-diffusion boundary value problem with discontinuous source terms subject to Dirichlet boundary conditions is presented on uniform mesh. A difference scheme based on cubic spline in tension with fitting factor is considered outside the point of discontinuity whereas the centred finite difference scheme with the average of the source terms is used at the point of discontinuity. Numerical results are provided to demonstrate the efficiency of the proposed method with parameter-uniform convergence and also confirm that the results obtained by this method are better than the existing methods.
Keywords: singular perturbation problem; weakly coupled system; convection-diffusion; cubic spline in tension; discontinuous source term; parameter-uniform.
International Journal of Computing Science and Mathematics, 2021 Vol.14 No.1, pp.54 - 76
Received: 23 Jul 2018
Accepted: 21 Jan 2019
Published online: 12 Oct 2021 *