Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A WEAKLY COUPLED SYSTEM OF SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATIONS WITH DISCONTINUOUS SOURCE TERM

  • BABU, A. RAMESH (Department of Mathematics, School of Engineering, Amrita Vishwa Vidyapeetham) ;
  • VALANARASU, T. (Department of Mathematics, Bharathidasan University College)
  • Received : 2018.12.01
  • Accepted : 2019.03.29
  • Published : 2019.09.30
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Abstract

In this paper, we consider boundary value problem for a weakly coupled system of two singularly perturbed differential equations of convection diffusion type with discontinuous source term. In general, solution of this type of problems exhibits interior and boundary layers. A numerical method based on streamline diffusiom finite element and Shishkin meshes is presented. We derive an error estimate of order $O(N^{-2}\;{\ln}^2\;N$) in the maximum norm with respect to the perturbation parameters. Numerical experiments are also presented to support our theoritical results.

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References

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