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HYBRID DIFFERENCE SCHEMES FOR SINGULARLY PERTURBED PROBLEM OF MIXED TYPE WITH DISCONTINUOUS SOURCE TERM  

Priyadharshini, R. Mythili (Department of Mathematics, School of Mathematics and Computer Science, Bharathidasn University)
Ramanujam, N. (Department of Mathematics, School of Mathematics and Computer Science, Bharathidasn University)
Valanarasu, T. (Department of Mathematics, Bharathidasan University College)
Publication Information
Journal of applied mathematics & informatics / v.28, no.5_6, 2010 , pp. 1035-1054 More about this Journal
Abstract
We consider a mixed type singularly perturbed one dimensional elliptic problem with discontinuous source term. The domain under consideration is partitioned into two subdomains. A convection-diffusion and a reaction-diffusion type equations are posed on the first and second subdomains respectively. Two hybrid difference schemes on Shishkin mesh are constructed and we prove that the schemes are almost second order convergence in the maximum norm independent of the diffusion parameter. Error bounds for the numerical solution and its numerical derivative are established. Numerical results are presented which support the theoretical results.
Keywords
Singular perturbation problems; mixed type; elliptic problem; Shishkin mesh; hybrid scheme; scaled derivative;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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