Title of article
A numerical method for singularly perturbed weakly coupled system of two second order ordinary differential equations with discontinuous source term
Author/Authors
Tamilselvan، نويسنده , , A. and Ramanujam، نويسنده , , N. and Shanthi، نويسنده , , V.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
14
From page
203
To page
216
Abstract
In this paper, a numerical method based on finite difference scheme and Shishkin mesh for singularly perturbed two second order weakly coupled system of ordinary differential equations with discontinuous source term is presented. An error estimate is derived to show that the method is uniformly convergent with respect to the singular perturbation parameter. Numerical results are presented to illustrate the theoretical results.
Keywords
singular perturbation problem , Second order ordinary differential equation , Discontinuous source term , Finite difference scheme , Shishkin mesh , Weakly coupled system
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2007
Journal title
Journal of Computational and Applied Mathematics
Record number
1553746
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