Robust numerical method for singularly perturbed convection-diffusion type problems with non-local boundary condition

Autor:	Habtamu G. Debela, Mesfin M. Woldaregay, Gemechis F. Duressa
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	singular perturbation boundary value problem non-standared fitted operator scheme uniform convergence non-local boundary condition Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 27, Iss 2 (2022)
Druh dokumentu:	article
ISSN:	1392-6292 1648-3510
DOI:	10.3846/mma.2022.14256
Popis:	This paper presents the study of singularly perturbed differential equations of convection diffusion type with non-local boundary condition. The proposed numerical scheme is a combination of classical finite difference method for the initial boundary condition and nonstandard finite difference method for the differential equations at the interior points. Maximum absolute errors and rates of convergence for different values of perturbation parameter and mesh sizes are tabulated for the numerical examples considered. The method is shown to be first-order convergence independent of the perturbation parameter ε.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/b0fd2ca12b7d438d8844c08ea8ad1db0 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF