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2010 A Numerical Method for a Singularly Perturbed Three-Point Boundary Value Problem
Musa Çakır, Gabil M. Amiraliyev
J. Appl. Math. 2010: 1-17 (2010). DOI: 10.1155/2010/495184

Abstract

The purpose of this paper is to present a uniform finite difference method for numerical solution of nonlinear singularly perturbed convection-diffusion problem with nonlocal and third type boundary conditions. The numerical method is constructed on piecewise uniform Shishkin type mesh. The method is shown to be convergent, uniformly in the diffusion parameter $\epsilon $, of first order in the discrete maximum norm. Some numerical experiments illustrate in practice the result of convergence proved theoretically.

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Musa Çakır. Gabil M. Amiraliyev. "A Numerical Method for a Singularly Perturbed Three-Point Boundary Value Problem." J. Appl. Math. 2010 1 - 17, 2010. https://doi.org/10.1155/2010/495184

Information

Published: 2010
First available in Project Euclid: 1 November 2010

zbMATH: 1191.65098
MathSciNet: MR2660615
Digital Object Identifier: 10.1155/2010/495184

Rights: Copyright © 2010 Hindawi

Vol.2010 • 2010
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