000170213 001__ 170213
000170213 005__ 20260407115449.0
000170213 0247_ $$2doi$$a10.1007/s11075-026-02343-6
000170213 0248_ $$2sideral$$a148746
000170213 037__ $$aART-2026-148746
000170213 041__ $$aeng
000170213 100__ $$aJangid, Hemlata
000170213 245__ $$aA Shishkin mesh based modified bi-cubic B-spline approach for two-dimensional elliptic convection-diffusion problems with regular boundary layers
000170213 260__ $$c2026
000170213 5203_ $$aIn this work, we construct a new numerical approach to solve two-dimensional elliptic singularly perturbed convection-diffusion problem (SPCDP) having regular boundary layers. The proposed approach combines the use of an adequate Shishkin mesh, which is specifically designed to resolve the type of regular boundary layers which appear in the exact solution, with a modified bi-cubic B-spline (MBCBS) collocation technique, that ensures high-order accuracy of the numerical method. Higher-order splines are particularly advantageous from a practical perspective, as it delivers accurate approximations without increase significantly the computational cost of the algorithm. A detailed analysis of error is performed, and therefore, the proposed method is proven to be a nearly second-order parameter uniformly convergent in the maximum norm. Numerical experiments are also provided to validate in practice the theoretical results and to corroborate the effectiveness and robustness of the proposed scheme on challenging test problems.
000170213 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17R$$9info:eu-repo/grantAgreement/ES/MCINN/PID2022-136441NB-I00
000170213 540__ $$9info:eu-repo/semantics/closedAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000170213 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000170213 700__ $$aKumari, Parvin
000170213 700__ $$0(orcid)0000-0003-1263-1996$$aClavero, Carmelo$$uUniversidad de Zaragoza
000170213 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000170213 773__ $$g(2026), [25 pp.]$$pNumer. algorithms$$tNUMERICAL ALGORITHMS$$x1017-1398
000170213 8564_ $$s4449412$$uhttps://zaguan.unizar.es/record/170213/files/texto_completo.pdf$$yVersión publicada$$zinfo:eu-repo/date/embargoEnd/2027-03-09
000170213 8564_ $$s1212238$$uhttps://zaguan.unizar.es/record/170213/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada$$zinfo:eu-repo/date/embargoEnd/2027-03-09
000170213 909CO $$ooai:zaguan.unizar.es:170213$$particulos$$pdriver
000170213 951__ $$a2026-03-26-14:31:49
000170213 980__ $$aARTICLE