Fitted mesh method for singularly perturbed fourth order differential equation of convection diffusion type with integral boundary condition

Autor:	V. Raja, E. Sekar, S. Shanmuga Priya, B. Unyong
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	fourth order differential equation non-local boundary condition finite difference scheme singular perturbation problems shishkin mesh Mathematics QA1-939
Zdroj:	AIMS Mathematics, Vol 8, Iss 7, Pp 16691-16707 (2023)
Druh dokumentu:	article
ISSN:	2473-6988 11831464
DOI:	10.3934/math.2023853?viewType=HTML
Popis:	This article focuses on a class of fourth-order singularly perturbed convection diffusion equations (SPCDE) with integral boundary conditions (IBC). A numerical method based on a finite difference scheme using Shishkin mesh is presented. The proposed method is close to the first-order convergent. The discrete norm yields an error estimate and theoretical estimations are tested by numerical experiments.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a0bbb11831464158bfcdb826ecf9ef97 Zobrazit plný text záznamu View record in DOAJ