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A parameter uniform almost first order convergent numerical method for non-linear system of singularly perturbed differential equations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Raj, Ishwariya Johnson, Princy Miller, John J. H. Sigamani, Valarmathi |
| Copyright Year | 2016 |
| Abstract | In this paper an initial value problem for a non-linear system of two singularly perturbed first order differential equations is considered on the interval (0,1]. The components of the solution of this system exhibit initial layers at 0. A numerical method composed of a classical finite difference scheme on a piecewise uniform Shishkin mesh is suggested. This method is proved to be almost first order convergent in the maximum norm uniformly in the perturbation parameters. |
| Starting Page | 1608111 |
| Ending Page | 1608111 |
| Page Count | 1 |
| File Format | PDF HTM / HTML |
| DOI | 10.11145/j.biomath.2016.08.111 |
| Volume Number | 5 |
| Alternate Webpage(s) | http://biomathforum.org/biomath/index.php/biomath/article/download/j.biomath.2016.08.111/pdf |
| Alternate Webpage(s) | https://doi.org/10.11145/j.biomath.2016.08.111 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |