A Moving Mesh Method for Singularly Perturbed Problems

Stephen T. Sikwila and Stanford Shateyi

Abstract and Applied Analysis, 2013, vol. 2013, 1-11

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:214505

DOI: 10.1155/2013/214505

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