A new structure formulations for cubic B-spline collocation method in three and four-dimensions

Autor:	Raslan K. R., Ali Khalid K.
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	collocation method 3-dimensions cubic b-splines 4-dimensions cubic b-splines Engineering (General). Civil engineering (General) TA1-2040
Zdroj:	Nonlinear Engineering, Vol 9, Iss 1, Pp 432-448 (2020)
Druh dokumentu:	article
ISSN:	2192-8010 2192-8029
DOI:	10.1515/nleng-2020-0027
Popis:	In this work, we introduce a new construct to the cubic B-spline collocation method in the three and four-dimensions. The cubic B-splines method format is displayed in one, two, three, and four-dimensions format. These constructions are of utmost importance in solving differential equations in their various dimensions, which have applications in many fields of science. The efficiency and accuracy of the proposed methods are demonstrated by its application to a few test problems in two, three, and four dimensions. Also, comparing the exact solutions and with the results obtained by using other numerical methods available in the literature as much as possible.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/491b9cf3b3a446adbecfcaac0181c63a Zobrazit plný text záznamu View record in DOAJ