A New Spline Method for Solving Linear Two-Point Boundary Value Problems

被引：7
|
作者：
Heilat, Ahmed Salem [1 ]
Zureigat, Hamzeh [1 ]
Hatamleh, Ra'ed [1 ]
Batiha, Belal [1 ]
机构：
[1] Jadara Univ, Dept Math, POB 733, Irbid 21111, Jordan
来源：
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2021年 / 14卷 / 04期
关键词：
Two-point; boundary value problems; Cubic B-spline; Trigonometric Cubic B-spline; Hybrid cubic B-spline; B-SPLINE; FINITE-DIFFERENCE; ELEMENT;
D O I：
10.29020/nybg.ejpam.v14i4.4124
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, second order linear two-point boundary value problems are treated using new method based on hybrid cubic B-spline. The values of the free parameter, gamma, are chosen via optimization. The value of the free parameter plays an important role in giving accurate results. Optimization of this parameter is carried out. This method is tested on four examples and a comparison with cubic B-spline, trigonometric cubic B-spline and extended cubic B-spline methods has been carried out. The examples suggest that this method produces more accurate results than the other three methods. The numerical results are presented to illustrate the efficiency of our method.
引用
收藏
页码：1283 / 1294
页数：12
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