Parameter uniform convergence of a finite element method for a singularly perturbed linear reaction diffusion system with discontinuous source terms

Autor:	Vinoth Maruthamuthu, Joseph Paramasivam Mathiyazhagan
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	singular perturbation problems system of differential equations reaction - diffusion equations overlapping boundary and interior layers finite element method shishkin mesh parameter - uniform convergence discontinuous source terms Mathematics QA1-939 Probabilities. Mathematical statistics QA273-280
Zdroj:	Ratio Mathematica, Vol 50, Iss 0 (2023)
Druh dokumentu:	article
ISSN:	1592-7415 2282-8214
DOI:	10.23755/rm.v50i0.1547
Popis:	A linear system of ’n’ second order ordinary differential equations of reaction-diffusion type with discontinuous source terms is considered. On a piecewise uniform Shishkin mesh, a numerical system is built that employs the finite element method. The numerical approximations obtained by this approach are proven to be effectively almost second order convergent.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a31bb4ad77e64a279c31e6ee5b5478d4 Zobrazit plný text záznamu View record in DOAJ