热问题的三次b样条数值解

IF 1.2 Q2 MATHEMATICS, APPLIED

Journal of Applied Mathematics Pub Date : 2012-08-31 DOI:10.5923/J.AM.20120204.06

D. Demir, N. Bildik

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引用次数: 5

摘要

本文讨论了物理学中一个重要方程的解法;这是一维的热方程。为此，我们在搭配方法中使用三次b样条有限元。提出了该方法的方案，并考虑傅里叶稳定性法对其稳定性进行了分析。另一方面，数值解与解析解的对比研究用图和表来说明。结果表明了该方法的可靠性和有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Numerical Solution of Heat Problem Using Cubic B-Splines

This paper discusses solving one of the important equations in Physics; which is the one-dimensional heat equation. For that purpose, we use cubic B-spline fin ite elements within a Collocation method. The scheme of the method is presented and the stability analysis is investigated by considering Fourier stability method. On the other hand, a comparative study between the numerical and the analytic solution is illustrated by the figure and the tables. The results demonstrate the reliability and the efficiency of the method.

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来源期刊

Journal of Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.70

自引率

0.00%

发文量

审稿时长

3.2 months

期刊介绍： Journal of Applied Mathematics is a refereed journal devoted to the publication of original research papers and review articles in all areas of applied, computational, and industrial mathematics.