Quadratic upwind differencing scheme in the finite volume method for solving the convection-diffusion equation

Autor:	Minilik Ayalew, Mulualem Aychluh, Daya Lal Suthar, Sunil Dutt Purohit
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Convection-diffusion equation quadratic upwind differencing scheme finite volume method Mathematics QA1-939 Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Mathematical and Computer Modelling of Dynamical Systems, Vol 29, Iss 1, Pp 265-285 (2023)
Druh dokumentu:	article
ISSN:	13873954 1744-5051 1387-3954
DOI:	10.1080/13873954.2023.2282974
Popis:	ABSTRACTDue to the high importance of the convection-diffusion equation, we aim to develop a quadratic upwind differencing scheme in the finite volume approach for solving this equation. Our newly developed numerical approach is conditionally stable. The strategy employs a quadratic upwind differencing scheme in the finite volume technique for spatial approximation with third-order accuracy. The temporal integration is approximated using the explicit theta method of first-order accuracy. Some numerical examples are given to support our theoretical procedures. The findings are plotted using MATLAB R2016a mathematical software.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/dddf75190ca14c828071417f8ed22752 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.