An Exponentially Fitted Method for Singularly Perturbed Delay Differential Equations
<p/> <p>This paper deals with singularly perturbed initial value problem for linear first-order delay differential equation. An exponentially fitted difference scheme is constructed in an equidistant mesh, which gives first-order uniform convergence in the discrete maximum norm. The diff...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2009-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2009/781579 |
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doaj-c32ba1cf2ad34da89cf77ec44edb8fe72020-11-25T02:28:17ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472009-01-0120091781579An Exponentially Fitted Method for Singularly Perturbed Delay Differential EquationsErdogan Fevzi<p/> <p>This paper deals with singularly perturbed initial value problem for linear first-order delay differential equation. An exponentially fitted difference scheme is constructed in an equidistant mesh, which gives first-order uniform convergence in the discrete maximum norm. The difference scheme is shown to be uniformly convergent to the continuous solution with respect to the perturbation parameter. A numerical example is solved using the presented method and compared the computed result with exact solution of the problem.</p> http://www.advancesindifferenceequations.com/content/2009/781579 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Erdogan Fevzi |
| spellingShingle |
Erdogan Fevzi An Exponentially Fitted Method for Singularly Perturbed Delay Differential Equations Advances in Difference Equations |
| author_facet |
Erdogan Fevzi |
| author_sort |
Erdogan Fevzi |
| title |
An Exponentially Fitted Method for Singularly Perturbed Delay Differential Equations |
| title_short |
An Exponentially Fitted Method for Singularly Perturbed Delay Differential Equations |
| title_full |
An Exponentially Fitted Method for Singularly Perturbed Delay Differential Equations |
| title_fullStr |
An Exponentially Fitted Method for Singularly Perturbed Delay Differential Equations |
| title_full_unstemmed |
An Exponentially Fitted Method for Singularly Perturbed Delay Differential Equations |
| title_sort |
exponentially fitted method for singularly perturbed delay differential equations |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1839 1687-1847 |
| publishDate |
2009-01-01 |
| description |
<p/> <p>This paper deals with singularly perturbed initial value problem for linear first-order delay differential equation. An exponentially fitted difference scheme is constructed in an equidistant mesh, which gives first-order uniform convergence in the discrete maximum norm. The difference scheme is shown to be uniformly convergent to the continuous solution with respect to the perturbation parameter. A numerical example is solved using the presented method and compared the computed result with exact solution of the problem.</p> |
| url |
http://www.advancesindifferenceequations.com/content/2009/781579 |
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AT erdoganfevzi anexponentiallyfittedmethodforsingularlyperturbeddelaydifferentialequations AT erdoganfevzi exponentiallyfittedmethodforsingularlyperturbeddelaydifferentialequations |
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