| dc.creator | Mannarino, Iliana A. | |
| dc.date.accessioned | 2015-05-19T18:52:28Z | |
| dc.date.accessioned | 2022-10-20T00:38:19Z | |
| dc.date.available | 2015-05-19T18:52:28Z | |
| dc.date.available | 2022-10-20T00:38:19Z | |
| dc.date.created | 2015-05-19T18:52:28Z | |
| dc.date.issued | 2010-04-09 00:00:00 | |
| dc.identifier | http://revistas.ucr.ac.cr/index.php/matematica/article/view/302 | |
| dc.identifier | https://hdl.handle.net/10669/12959 | |
| dc.identifier | 10.15517/rmta.v16i2.302 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4534722 | |
| dc.description.abstract | n this article a new mimetic finite difference method to solve unsteady diffusionequation is presented. It uses Crank-Nicolson scheme to obtain time approximationsand second order mimetic discretizations for gradient and divergence operators inspace. The convergence of this new method is analyzed using Lax-Friedrichs equiv-alence theorem. This analysis is developed for one dimensional case. In addition tothe analytical work, we provide experimental evidences that mimetic Crank-Nicolsonscheme is better than standard finite difference because it achieves quadratic conver-gence rates, second order truncation errors and better approximations to the exactsolution.Keywords: mimetic scheme, finite difference method, unsteady diffusion equation,Lax-Friedrichs equivalence theorem. | |
| dc.language | es | |
| dc.relation | Revista de Matemática: Teoría y Aplicaciones Vol. 16 Núm. 2 2010 | |
| dc.title | A mimetic finite difference method using Crank-Nicolson scheme for unsteady diffusion equation | |
| dc.type | artículo científico | |
