An alternating direction scheme on a nonuniform mesh for reaction-diffusion parabolic problems |
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| Authors: | Clavero, C Jorge, JC Lisbona, F Shishkin={paragraph}, GI |
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| Affiliation: | Departamento de Matemática Aplicada, Universidad de Zaragoza, Zaragoza, Spain Y E-mail: clavero@posta.unizar.es X E-mail: lisbona@posta.unizar.es W Departamento de Matematica e Informática, Universidad Pública de Navarra, Pamplona, Spain E-mail: jcjorge@si.upna.es =¶Institute of Mathematics and Mechanics, Ekaterinburg, Russia E-mail: sgi@eqmph.imm.intec.ru |
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| Abstract: | In this paper we develop a numerical method for two-dimensionaltime-dependent reaction-diffusion problems. This method, whichcan immediately be generalized to higher dimensions, is shownto be uniformly convergent with respect to the diffusion problems.This method, which can immediately be generalized to higherdimensions, is shown to be uniformly convergent with respectto the diffusion parameter. |
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| Keywords: | Singular perturbation alternating direction Shishkin mesh uniform convergence |
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