000148200 001__ 148200
000148200 005__ 20250114175434.0
000148200 0247_ $$2doi$$a10.1016/j.apnum.2024.10.005
000148200 0248_ $$2sideral$$a141686
000148200 037__ $$aART-2025-141686
000148200 041__ $$aeng
000148200 100__ $$0(orcid)0000-0003-1263-1996$$aClavero, Carmelo$$uUniversidad de Zaragoza
000148200 245__ $$aA priori and a posteriori error estimates for efficient numerical schemes for coupled systems of linear and nonlinear singularly perturbed initial-value problems
000148200 260__ $$c2025
000148200 5060_ $$aAccess copy available to the general public$$fUnrestricted
000148200 5203_ $$aThis work considers the numerical approximation of linear and nonlinear singularly perturbed initial value coupled systems of first-order, for which the diffusion parameters at each equation of the system are distinct and also they can have a different order of magnitude. To do that, we use two efficient discretization methods, which combine the backward differences and an appropriate splitting by components. Both a priori and a posteriori error estimates are proved for the proposed discretization methods. The developed numerical methods are more computationally efficient than those classical methods used to solve the same type of coupled systems. Extensive numerical experiments strongly confirm in practice the theoretical results and corroborate the superior performance of the current approach compared with previous existing approaches.
000148200 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17R$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2017-83490-P
000148200 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000148200 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000148200 700__ $$aKumar, Shashikant
000148200 700__ $$aKumar, Sunil
000148200 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000148200 773__ $$g208 (2025), 123-147$$pAppl. numer. math.$$tAPPLIED NUMERICAL MATHEMATICS$$x0168-9274
000148200 8564_ $$s2140446$$uhttps://zaguan.unizar.es/record/148200/files/texto_completo.pdf$$yVersión publicada
000148200 8564_ $$s2160904$$uhttps://zaguan.unizar.es/record/148200/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000148200 909CO $$ooai:zaguan.unizar.es:148200$$particulos$$pdriver
000148200 951__ $$a2025-01-14-15:49:22
000148200 980__ $$aARTICLE