Efficient Solution of Burgers’, Modified Burgers’ and KdV–Burgers’ Equations Using B-Spline Approximation Functions

Autor:	Nabendra Parumasur, Rasheed A. Adetona, Pravin Singh
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	B-spline orthogonal collocation finite element Burgers’ equation Mathematics QA1-939
Zdroj:	Mathematics, Vol 11, Iss 8, p 1847 (2023)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math11081847
Popis:	This paper discusses the application of the orthogonal collocation on finite elements (OCFE) method using quadratic and cubic B-spline basis functions on partial differential equations. Collocation is performed at Gaussian points to obtain an optimal solution, hence the name orthogonal collocation. The method is used to solve various cases of Burgers’ equations, including the modified Burgers’ equation. The KdV–Burgers’ equation is considered as a test case for the OCFE method using cubic splines. The results compare favourably with existing results. The stability and convergence of the method are also given consideration. The method is unconditionally stable and second-order accurate in time and space.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/43ca72cf9c584d0588ed12ba143e9d9a Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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