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| 摘要: |
| 本文提出了应用第二类Chebyhsev小波配点法求解线性与非线性高阶常微分方程多点边值问题的数值解.利用Chebyshev小波及其积分算子矩阵将多点边值问题转化为代数方程组求解.数值算例说明了该算法求解高阶多点边值问题的准确性与有效性.我们也将数值解与现有的算法结果进行了比较. |
| 关键词: 第二类Chebyshev小波 积分算子矩阵 高阶微分方程 多点边值问题 配点法 |
| DOI： |
| 分类号:O241.81 |
| 基金项目:国家自然科学基金项目（项目编号：11601076） |
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| THE APPLICATION OF THE SECOND KIND CHEBYSHEV WAVELETS FOR SOLVING HIGH-ODER MULTI-POINT BOUNDARY VALUE PROBLEMS |
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zhoufengying
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| Abstract: |
| In this paper, the second kind Chebyshev wavelets collocation method is proposed for numerically solving multi-point boundary value problems of linear and nonlinear high-order ordinary differential equations. Chebyshev wavelets together with operational matrix of integration are utilized to convert the problems into systems of algebraic equations which can be efficiently solved by suitable solvers.Illustrative numerical examples are provided to demonstrate the accuracy and efficiency of the proposed method in solving high-order multi-point boundary value problems. Also comparison between the numerical results and results obtained by the existing methods are made. |
| Key words: The second kind Chebyshev wavelet operational matrix of integration high-order differential equation multi-point boundary value problem collocation method |
