Open Access
2013 A Moving Mesh Method for Singularly Perturbed Problems
Stephen T. Sikwila, Stanford Shateyi
Abstr. Appl. Anal. 2013: 1-11 (2013). DOI: 10.1155/2013/214505


A singularly perturbed time dependent convection diffusion problem is solved on a rectangular domain, using the moving mesh method which uses the equidistribution principle. The problem has a boundary at the steady state. It is shown that the numerical approximations generated by the moving mesh method converge uniformly with respect to the singular perturbation parameter. Theoretical results are obtained which are verified using numerical results.


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Stephen T. Sikwila. Stanford Shateyi. "A Moving Mesh Method for Singularly Perturbed Problems." Abstr. Appl. Anal. 2013 1 - 11, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1291.65271
MathSciNet: MR3134171
Digital Object Identifier: 10.1155/2013/214505

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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