A mimetic finite difference method using Crank-Nicolson scheme for unsteady diffusion equation
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| Auteur: | |
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| Formaat: | artículo original |
| Status: | Versión publicada |
| Publicatiedatum: | 2009 |
| Omschrijving: | In this article a new mimetic finite difference method to solve unsteady diffusion equation is presented. It uses Crank-Nicolson scheme to obtain time approximations and second order mimetic discretizations for gradient and divergence operators in space. The convergence of this new method is analyzed using Lax-Friedrichs equivalence theorem. This analysis is developed for one dimensional case. In addition to the analytical work, we provide experimental evidences that mimetic Crank-Nicolson scheme is better than standard finite difference because it achieves quadratic conver- gence rates, second order truncation errors and better approximations to the exact solution. |
| Land: | Portal de Revistas UCR |
| Instelling: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Taal: | Español |
| OAI Identifier: | oai:archivo.portal.ucr.ac.cr:article/302 |
| Online toegang: | https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/302 |
| Keyword: | mimetic scheme finite difference method unsteady diffusion equation Lax-Friedrichs equivalence theorem método mimético método de diferencias finitas ecuación no estática de difusión teorema de equivalencia de Lax-Friedrichs |