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

• Autorzy: Kumar V. , Bawa R. K. , Lal A. K.

Identyfikatory

DOI

10.2478/amcs-2014-0029

• 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

PL

rozwinięcie asymptotyczne; operator różnicowy; metoda trapezowa

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2014
• Tom: Vol. 24, no. 2
• Strony: 387--395
• Opis fizyczny: Bibliogr. 16 poz., tab.

Twórcy

autor

Kumar V.

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

autor

Bawa R. K.

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

autor

Lal A. K.

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

Bibliografia

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• [14] Shishkin, G.I. (1995). Mesh approximation of singularly perturbed boundary-value problems for systems of elliptic and parabolic equations, Computational Mathematics and Mathematical Physics 35(4): 429–446.
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