A fitted numerical method for a singularly perturbed Fredholm integro-differential equation with discontinuous source term.
[EN]In this article, a singularly perturbed second-order Fredholm integro-differential equation with a discontinuous source term is examined. An exponentially-fitted numerical method on a Shishkin mesh is applied to solve the problem. The method is shown to be uniformly convergent with respect to th...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad de Salamanca (USAL) |
| Repositorio: | GREDOS. Repositorio Institucional de la Universidad de Salamanca |
| OAI Identifier: | oai:gredos.usal.es:10366/156339 |
| Acceso en línea: | http://hdl.handle.net/10366/156339 |
| Access Level: | acceso abierto |
| Palabra clave: | Fredholm integro-differential equation Singular perturbation Finite-difference Shishkin mesh Uniform convergence Discontinuous source term 12 Matemáticas |
| Sumario: | [EN]In this article, a singularly perturbed second-order Fredholm integro-differential equation with a discontinuous source term is examined. An exponentially-fitted numerical method on a Shishkin mesh is applied to solve the problem. The method is shown to be uniformly convergent with respect to the singular perturbation parameter. Some numerical results are given, which validate the theoretical results. |
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