一维双调和方程的Haar小波数值解

2009 International Conference on Wavelet Analysis and Pattern Recognition Pub Date : 2009-07-12 DOI:10.1109/ICWAPR.2009.5207423

Zhi Shi, Julian Han

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引用次数: 4

摘要

本文介绍了一种基于哈尔小波的积分运算矩阵，并给出了应用该矩阵求解双调和方程的方法。该方法可用于求解一维双调和方程的边值问题。通过算例验证了该方法的有效性。

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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Numerical solution of one-dimensional biharmonic equations using Haar wavelets

In this paper, an operational matrix of integration based on Haar wavelets is introduced, and a procedure for applying the matrix to solve biharmonic equations is formulated. The technique can be used for solving boundary value problems of one-dimensional biharmonic equations. The efficiency of the proposed method is tested with the aid of an example.

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2009 International Conference on Wavelet Analysis and Pattern Recognition

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