| Autor: |
Naol Tufa Negero |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
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| Zdroj: |
Partial Differential Equations in Applied Mathematics, Vol 8, Iss , Pp 100530- (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2666-8181 |
| DOI: |
10.1016/j.padiff.2023.100530 |
| Popis: |
A numerical study of a two-parameter singularly perturbed time-delay parabolic equation has been initiated. The proposed technique is based on a fitted operator finite difference scheme. The first step involves the discretization of the time variables using the Crank–Nicolson method. This results in singularly perturbed semi-discrete problems, which are further discretized in space using the exponentially fitted tension-spline finite difference method. The error analysis is carried out. It is shown to be parameter-uniformly convergent and second-order accurate. To support the theoretical results, numerical experiments are carried out by applying the proposed technique to two test examples. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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