Cubic Trigonometric B-spline Method for Solving a Linear System of Second Order Boundary Value Problems

被引：0
|
作者：
Heilat, Ahmed Salem [1 ]
机构：
[1] Jadara Univ, Dept Math, POB 733, Irbid 21111, Jordan
来源：
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2023年 / 16卷 / 04期
关键词：
Linear system of second order boundary value problems; boundary value problems; cubic trigonometric B-spline basis functions; NONLINEAR-SYSTEM; NUMERICAL-SOLUTION; POSITIVE SOLUTIONS; EXISTENCE;
D O I：
10.29020/nybg.ejpam.v16i4.4947
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper introduces a novel trigonometric B-spline collocation method for solving a specific class of second-order boundary value problems. The study showcases the method's practicality and effectiveness through various numerical examples. Furthermore, it evaluates the technique's performance by calculating maximum errors for different step sizes in the spatial do-main. The paper also conducts a comparative analysis with alternative methods, demonstrating the superior accuracy of the trigonometric B-spline approach.2020 Mathematics Subject Classifications: 34A30, 65L10
引用
收藏
页码：2384 / 2396
页数：13
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