An Extended Finite Difference Method for Singular Perturbation Problems on a Non-Uniform Mesh

Autor:	D. Swarnakar, V.Ganesh kumar, G.B.S.L. Soujanya
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	non uniform grid finite difference method singular perturbation boundary layer Mechanical engineering and machinery TJ1-1570
Zdroj:	International Journal of Applied Mechanics and Engineering, Vol 27, Iss 1, Pp 203-214 (2022)
Druh dokumentu:	article
ISSN:	1734-4492 2353-9003
DOI:	10.2478/ijame-2022-0013
Popis:	An extended second order finite difference method on a variable mesh is proposed for the solution of a singularly perturbed boundary value problem. A discrete equation is achieved on the non uniform mesh by extending the first and second order derivatives to the higher order finite differences. This equation is solved efficiently using a tridiagonal solver. The proposed method is analysed for convergence, and second order convergence is derived. Model examples are solved by the proposed scheme and compared with available methods in the literature to uphold the method.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/3f7433ab9e394fba896d1026f6162e54 Zobrazit plný text záznamu View record in DOAJ