61328 20220503125123.0 sideral 81657 ART-2009-81657 eng Clavero, C. Universidad de Zaragoza (orcid)0000-0003-1263-1996 High order schemes for reaction-diffusion singularly perturbed systems 2009 Access copy available to the general public Unrestricted In this paper we are interested in solving e¿ciently a singularly per-turbed linear system of di¿erential equations of reaction-di¿usion type. Firstly, anon–monotone ¿nite di¿erence scheme of HODIE type is constructed on a Shishkinmesh. The previous method is modi¿ed at the transition points such that an inversemonotone scheme is obtained. We prove that if the di¿usion parameters are equal itis a third order uniformly convergent method. If the di¿usion parameters are di¿er-ent some numerical evidence is presented to suggest that an uniformly convergentscheme of order greater than two is obtained. Nevertheless, the uniform errors arebigger and the orders of uniform convergence are less than in the case correspondingto equal di¿usion parameters. info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Gracia, J.L. Universidad de Zaragoza (orcid)0000-0003-2538-9027 Lisbona F.J. Universidad de Zaragoza (orcid)0000-0001-8835-6869 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 69 (2009), 107-115 Lect. notes comput. sci. eng. Lecture Notes in Computational Science and Engineering 1439-7358 725592 http://zaguan.unizar.es/record/61328/files/texto_completo.pdf Versión publicada 42495 http://zaguan.unizar.es/record/61328/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:61328 articulos driver 2022-05-03-12:44:22 ARTICLE