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International Journal of Computer Mathematics Volume 87, 2010 - Issue 6
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Section B

A parameter uniform numerical method for a system of singularly perturbed convection–diffusion equations with discontinuous convection coefficients

A. Tamilselvan Department of Mathematics, Bharathidasan University, Tiruchirappalli, Tamilnadu, India
&
N. Ramanujam Department of Mathematics, Bharathidasan University, Tiruchirappalli, Tamilnadu, IndiaCorrespondence[email protected]
Pages 1374-1388 | Received 10 Jul 2007, Accepted 06 May 2008, Published online: 07 May 2009
 
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Abstract

In this paper, a weakly coupled system of two singularly perturbed convection-diffusion equations with discontinuous convection coefficients is examined. A finite difference scheme on Shishkin mesh generating the parameter uniform convergence in the global maximum norm is constructed for solving this problem. Numerical results which are in agreement with the theoretical results are presented.

AMS Mathematics Subject Classification: :

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