A robust computational technique for a system of singularly perturbed reaction-diffusion equations

• Autorzy: Vinod Kumar , Rajesh K. Bawa , Arvind K. Lal
• Języki publikacji: EN

Abstrakty

EN

In this paper, a singularly perturbed system of reaction-diffusion Boundary Value Problems (BVPs) is examined. To solve such a type of problems, a Modified Initial Value Technique (MIVT) is proposed on an appropriate piecewise uniform Shishkin mesh. The MIVT is shown to be of second order convergent (up to a logarithmic factor). Numerical results are presented which are in agreement with the theoretical results.

Słowa kluczowe

EN

asymptotic expansion approximation; backward difference operator; trapezoidal method; piecewise uniform Shishkin mesh

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2014
• Tom: 24
• Numer: 2
• Strony: 387-395

Daty

wydano

2014

otrzymano

2013-03-07

poprawiono

2013-11-29

Twórcy

autor

Vinod Kumar

• School of Mathematics and Computer Applications, Thapar University, Patiala, 147004, India

autor

Rajesh K. Bawa

• Department of Computer Science, Punjabi University, Patiala 147002, India

autor

Arvind K. Lal

• School of Mathematics and Computer Applications, Thapar University, Patiala, 147004, India

Bibliografia

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Identyfikatory

DOI

10.2478/amcs-2014-0029