000112394 001__ 112394
000112394 005__ 20250120150147.0
000112394 0247_ $$2doi$$a10.1002/cmm4.1093
000112394 0248_ $$2sideral$$a127286
000112394 037__ $$aART-2021-127286
000112394 041__ $$aeng
000112394 100__ $$0(orcid)0000-0003-1263-1996$$aClavero, C.$$uUniversidad de Zaragoza
000112394 245__ $$aA uniformly convergent scheme to solve two-dimensional parabolic singularly perturbed systems of reaction-diffusion type with multiple diffusion parameters
000112394 260__ $$c2021
000112394 5060_ $$aAccess copy available to the general public$$fUnrestricted
000112394 5203_ $$aIn this work, we deal with solving two-dimensional parabolic singularly perturbed systems of reaction-diffusion type where the diffusion parameters at each equation of the system can be small and of different scale. In such case, in general, overlapping boundary layers appear at the boundary of the spatial domain and, because of this, special meshes are required to resolve them. The numerical scheme combines the central difference scheme to discretize in space and the fractional implicit Euler method together with a splitting by components to discretize in time. If the fully discrete scheme is defined on an adequate piecewise uniform Shishkin mesh in space then it is uniformly convergent of first order in time and of almost second order in space. Some numerical results illustrate the theoretical results. © 2020 John Wiley & Sons, Ltd.
000112394 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17R$$9info:eu-repo/grantAgreement/ES/IUMA/MTM2017-83490-P
000112394 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000112394 592__ $$a0.255$$b2021
000112394 594__ $$a1.3$$b2021
000112394 593__ $$aComputational Mechanics$$c2021$$dQ3
000112394 593__ $$aComputational Mathematics$$c2021$$dQ3
000112394 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000112394 700__ $$aJorge, J.C.
000112394 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000112394 773__ $$g3, 3 (2021), e1093 [14 pp.]$$pComput. math. methods$$tComputational and Mathematical Methods$$x2577-7408
000112394 8564_ $$s848167$$uhttps://zaguan.unizar.es/record/112394/files/texto_completo.pdf$$yPostprint
000112394 8564_ $$s1551078$$uhttps://zaguan.unizar.es/record/112394/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000112394 909CO $$ooai:zaguan.unizar.es:112394$$particulos$$pdriver
000112394 951__ $$a2025-01-20-14:59:45
000112394 980__ $$aARTICLE