线性微分方程组的HAAR小波数值解

Poincare Journal of Analysis and Applications Pub Date : 2023-06-30 DOI:10.46753/pjaa.2023.v010i01.005

M. Devi, Seema Sharma, Sunil Rawan

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引用次数: 0

摘要

本文讨论了形成Haar小波运算矩阵的一般过程。将具有局部化性质的Haar小波系统应用于给定系统的近似解，该近似解与系统的精确解非常接近。我们通过数值例子演示了这一过程。对近似解和精确解进行了比较，并进行了误差分析，以确定Haar小波系统给出了更好的近似解。

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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NUMERICAL SOLUTIONS OF SYSTEM OF LINEAR DIFFERENTIAL EQUATIONS USING HAAR WAVELET APPROACH

. In this article, a general procedure of forming the Haar wavelets operational matrix is discussed. The Haar wavelet system which has localization property is applied to find approximate solution to a given system which is very near to the exact solution of the system. We demonstrate this procedure through numerical examples. A comparison of approximate solutions and the exact solutions is done along with the error analysis in order to establish that the Haar wavelet system gives better approximate solutions.

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来源期刊

Poincare Journal of Analysis and Applications Mathematics-Applied Mathematics

CiteScore

0.60

自引率

0.00%

发文量