Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2013 (2013), Article ID 214505, 11 pages.
A Moving Mesh Method for Singularly Perturbed Problems
Stephen T. Sikwila and Stanford Shateyi
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.
Article information
Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 214505, 11 pages.
Dates
First available in Project Euclid: 27 February 2014
Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393512174
Digital Object Identifier
doi:10.1155/2013/214505
Mathematical Reviews number (MathSciNet)
MR3134171
Zentralblatt MATH identifier
1291.65271
Citation
Sikwila, Stephen T.; Shateyi, Stanford. A Moving Mesh Method for Singularly Perturbed Problems. Abstr. Appl. Anal. 2013 (2013), Article ID 214505, 11 pages. doi:10.1155/2013/214505. https://projecteuclid.org/euclid.aaa/1393512174