求解线性系统二阶边值问题的三次三角b样条法

IF 1 Q1 MATHEMATICS

European Journal of Pure and Applied Mathematics Pub Date : 2023-10-30 DOI:10.29020/nybg.ejpam.v16i4.4947

Ahmed Salem Heilat

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引用次数: 0

摘要

针对一类特殊的二阶边值问题，提出了一种新的三角b样条配点法。通过数值算例验证了该方法的实用性和有效性。此外，通过计算不同步长在空间域中的最大误差来评估该技术的性能。本文还与其他方法进行了比较分析，证明了三角b样条法具有优越的精度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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

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 domain. The paper also conducts a comparative analysis with alternative methods, demonstrating the superior accuracy of the trigonometric B-spline approach.

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来源期刊

European Journal of Pure and Applied Mathematics MATHEMATICS-

CiteScore

1.30

自引率

28.60%

发文量

156