A numerical algorithm for solving one-dimensional parabolic convection-diffusion equation

Autor:	Dilara Altan Koç, Yalçın Öztürk, Mustafa Gülsu
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Partial differential equation 1D parabolic convection–diffusion equation finite difference method Von Neumann stability analysis consistency convergence Science (General) Q1-390
Zdroj:	Journal of Taibah University for Science, Vol 17, Iss 1 (2023)
Druh dokumentu:	article
ISSN:	16583655 1658-3655
DOI:	10.1080/16583655.2023.2204808
Popis:	A numerical method for solving one-dimensional (1D) parabolic convection–diffusion equation is provided. We consider the finite difference formulas with five points to obtain a numerical method. The proposed method converts the given equation, domain, and time interval into a discrete form. The numerical values of the solution are approximated by solving algebraic equations containing finite differences and values at these discrete points. The consistency, stability and convergence are investigated. On the other hand, some numerical examples illustrate the validity and applicability of the method. Finally, the numerical results are compared with the finite difference scheme’s three points.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/4fc0d05d7dfd46c1b26c0ac317e438b0 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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