Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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APPROXIMATION OF DERIVATIVE TO A SINGULARLY PERTURBED REACTION-CONVECTION-DIFFUSION PROBLEM WITH TWO PARAMETERS.

  • 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)
  • 발행 : 2009.05.31
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초록

In this paper, a singularly perturbed reaction-convection-diffusion problem with two parameters is considered. A parameter-uniform error bound for the numerical derivative is derived. The numerical method considered here is a standard finite difference scheme on piecewise-uniform Shishkin mesh, which is fitted to both boundary and initial layers. Numerical results are provided to illustrate the theoretical results.

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참고문헌

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  12. R. MYTHILI PRIYADHARSHINI, N. RAMANUJAM, Approximation of Derivative in a System of Singularly Perturbed Convection-Diffusion Equations, accepted for publication in Journal of Applied Mathematics & Computing.
  13. R. MYTHILI PRIYADHARSHINI, N. RAMANUJAM, Approximation of Derivative to a singularly perturbed second -order ordinary differential equation with discontinuous convection coef-ficient using hybrid difference scheme, accepted for publication in International Journal of Computer Mathematics.