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| 摘要: |
| 本文研究了一类高阶多点边值问题的数值解法问题.利用第二类Chebyhsev小波及其积分算子矩阵，将线性与非线性高阶常微分方程多点边值问题转化为代数方程组进行求解.通过与现有文献算法结果的比较，说明了该算法求解高阶多点边值问题的准确性与有效性.扩展了高阶多点边值问题的数值求解方法. |
| 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:Supported by the National Natural Science Foundation of China (11601076)and the Youth Science Foundation of Jiangxi Province (20151BAB211004; 20151BAB211012). |
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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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ZHOU Feng-ying,XU Xiao-yong
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| Abstract: |
| In this paper, a numerical algorithm is concerned for solving approximate solutions of high-order multi-point boundary value problems. The second kind Chebyhsev wavelets and operational matrix of integration are used to convert multi-point linear and nonlinear ordinary differential equation to a system of algebraic equations. By comparing with the results of the existing literature, the accuracy and validity of the algorithm for solving the high-order multi-point boundary value problem are explained. The proposed method extends the numerical solution of higher-order multi-point boundary value problems. |
| Key words: the second kind Chebyshev wavelets operational matrix of integration highorder differential equation multi-point boundary value problem collocation method |
