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

Nonlinear engineering: Modeling and application

article

K. R. Raslan¹  Khalid K. Ali¹ 

[1]Mathematics Department, Faculty of Science, Al-Azhar University

关键词: Collocation Method;    3-dimensions cubic B-Splines;    4-dimensions cubic B-Splines;   

DOI  :  10.1515/nleng-2020-0027

来源: De Gruyter

【 摘 要 】

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.

【 授权许可】

Unknown