Application of Haar wavelet method to eigenvalue problems of high order differential equations

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• 作者：Zhi Shi ; ^{shizhi8201@sina.com} ; Yongyan Cao
• 关键词：Haar wavelet ; Differential equation ; Eigenvalue
• 刊名：Applied Mathematical Modelling
• 出版年：2012
• 期刊代码：6_0307904x
• 类别：cp
• 出版时间：September, 2012
• 卷：36
• 期：9
• 页码：4020-4026
• 文件大小：174 K

摘要

In this work, we present a computational method for solving eigenvalue problems of high-order ordinary differential equations which based on the use of Haar wavelets. The variable and their derivatives in the governing equations are represented by Haar function and their integral. The first transform the spectral coefficients into the nodal variable values. The second, solve the obtained system of algebraic equation. The efficiency of the method is demonstrated by four numerical examples.