Application of Haar wavelet method to eigenvalue problems of high order differential equations
Application of Haar wavelet method to eigenvalue problems of high order differential equations
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DOI：
10.1016/j.apm.2011.11.024
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发表时间：
2012-09
影响因子：
5
通讯作者：
Zhi Shi;Yong Cao
中科院分区：
文献类型：
--
作者：
Zhi Shi;Yong Cao
本文提出了一种基于Haar小波的高阶常微分方程特征值问题的计算方法。控制方程中的变量及其导数用哈尔函数及其积分表示。第一种是将谱系数转换为节点变量值。第二，求解得到的代数方程组。四个数值算例表明了该方法的有效性。
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.