Numerical Solution of Heat Equation with Singular Robin Boundary Condition
ABSTRACT In this work we study the numerical solution of one-dimensional heat diffusion equation subject to Robin boundary conditions multiplied with a small parameter epsilon greater than zero. The numerical evidences tell us that the numerical solution of the differential equation with Robin bound...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2018 |
| País: | Brasil |
| Institución: | Universidade Estadual Paulista (UNESP) |
| Repositorio: | Repositório Institucional da UNESP |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/158233 |
| Acceso en línea: | http://dx.doi.org/10.5540/tema.2018.019.02.0209 http://hdl.handle.net/11449/158233 |
| Access Level: | acceso abierto |
| Palabra clave: | Eigenvalue Problems Finite Difference Method Robin Boundary Conditions Numerical Solutions Problema de Autovalores Método de Diferenças Finitas Condições de Contorno de Robin Soluções Numéricas |
| Sumario: | ABSTRACT In this work we study the numerical solution of one-dimensional heat diffusion equation subject to Robin boundary conditions multiplied with a small parameter epsilon greater than zero. The numerical evidences tell us that the numerical solution of the differential equation with Robin boundary condition are very close in certain sense of the analytic solution of the problem with homogeneous Dirichlet boundary conditions when ε tends to zero. |
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