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http://dx.doi.org/10.4134/CKMS.c180224

NUMERICAL METHOD FOR A SYSTEM OF SINGULARLY PERTURBED CONVECTION DIFFUSION EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS  

Raja, Velusamy (Department of Mathematics Bharathidasan University)
Tamilselvan, Ayyadurai (Department of Mathematics Bharathidasan University)
Publication Information
Communications of the Korean Mathematical Society / v.34, no.3, 2019 , pp. 1015-1027 More about this Journal
Abstract
A class of systems of singularly perturbed convection diffusion type equations with integral boundary conditions is considered. A numerical method based on a finite difference scheme on a Shishkin mesh is presented. The suggested method is of almost first order convergence. An error estimate is derived in the discrete maximum norm. Numerical examples are presented to validate the theoretical estimates.
Keywords
singular perturbation problems; finite difference scheme; Shishkin mesh; integral boundary condition; error estimate;
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