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

被引：8
|
作者：
Raslan, K. R. [1 ]
Ali, Khalid K. [1 ]
机构：
[1] Al Azhar Univ, Fac Sci, Math Dept, Cairo, Egypt
来源：
NONLINEAR ENGINEERING - MODELING AND APPLICATION | 2020年 / 9卷 / 01期
关键词：
Collocation Method; 3-dimensions cubic B-Splines; 4-dimensions cubic B-Splines; NUMERICAL-ANALYSIS; POISSON EQUATIONS; FINITE-ELEMENT; DUCT FLOW;
D O I：
10.1515/nleng-2020-0027
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
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.
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页码：432 / 448
页数：17
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