000127588 001__ 127588
000127588 005__ 20241125101155.0
000127588 0247_ $$2doi$$a10.1016/j.cam.2023.115422
000127588 0248_ $$2sideral$$a134636
000127588 037__ $$aART-2023-134636
000127588 041__ $$aeng
000127588 100__ $$0(orcid)0000-0003-1263-1996$$aClavero, Carmelo$$uUniversidad de Zaragoza
000127588 245__ $$aA numerical approach for a two-parameter singularly perturbed weakly-coupled system of 2-D elliptic convection–reaction–diffusion PDEs
000127588 260__ $$c2023
000127588 5060_ $$aAccess copy available to the general public$$fUnrestricted
000127588 5203_ $$aIn this work, we consider the numerical approximation of a two dimensional elliptic singularly perturbed weakly-coupled system of convection–reaction–diffusion type, which has two different parameters affecting the diffusion and the convection terms, respectively. The solution of such problems has, in general, exponential boundary layers as well as corner layers. To solve the continuous problem, we construct a numerical method which uses a finite difference scheme defined on an appropriate layer-adapted Bakhvalov–Shishkin mesh. Then, the numerical scheme is a first order uniformly convergent method with respect both convection and diffusion parameters. Numerical results obtained with the algorithm for some test problems are presented, which show the best performance of the proposed method, and they also corroborate in practice the theoretical analysis.
000127588 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17R$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2017-83490-P
000127588 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000127588 590__ $$a2.1$$b2023
000127588 592__ $$a0.858$$b2023
000127588 591__ $$aMATHEMATICS, APPLIED$$b53 / 332 = 0.16$$c2023$$dQ1$$eT1
000127588 593__ $$aComputational Mathematics$$c2023$$dQ2
000127588 593__ $$aApplied Mathematics$$c2023$$dQ2
000127588 594__ $$a5.4$$b2023
000127588 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000127588 700__ $$aShiromani, Ram
000127588 700__ $$aShanthi, Vembu
000127588 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000127588 773__ $$g436 (2023), 115422 [20 pp.]$$pJ. comput. appl. math.$$tJournal of Computational and Applied Mathematics$$x0377-0427
000127588 8564_ $$s2500955$$uhttps://zaguan.unizar.es/record/127588/files/texto_completo.pdf$$yVersión publicada
000127588 8564_ $$s2109164$$uhttps://zaguan.unizar.es/record/127588/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000127588 909CO $$ooai:zaguan.unizar.es:127588$$particulos$$pdriver
000127588 951__ $$a2024-11-22-12:09:05
000127588 980__ $$aARTICLE