| 球Bessel方程本征值问题特征方程根的Matlab算法 |
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| 引用本文： | 吕金城,纪多辙.球Bessel方程本征值问题特征方程根的Matlab算法[J].兰州理工大学学报,2007,33(3):152-155. |
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| 作者姓名： | 吕金城 纪多辙 |
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| 作者单位： | 安阳师范学院,土木建筑工程系,河南,安阳,455002 |
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| 基金项目： | 河南省高校杰出科研创新人才工程项目 |
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| 摘 要： | 给出常见的0,b]区间上的球Bessel方程本征值问题的特征方程,利用半奇数阶Bessel函数与Bessel函数之间的关系,将球Bessel函数转化为柱Bessel函数,得到一般区间上球Bessel方程的本征值和本征函数,分别对高阶和低阶球Bessel函数的不同情况,讨论使用Matlab编程得到特征方程根的方法,并介绍实际应用.
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| 关 键 词： | 球Bessel方程 特征方程 Matlab算法 |
| 文章编号： | 1673-5196（2007）03-0152-04 |
| 修稿时间： | 2005-10-07 |
Solution of characteristic equation in eigenvalue problems of spherical Bessel equation by using Matlab algorithm |
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| LU Jin-cheng,JI Duo-zhe.Solution of characteristic equation in eigenvalue problems of spherical Bessel equation by using Matlab algorithm[J].Journal of Lanzhou University of Technology,2007,33(3):152-155. |
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| Authors: | LU Jin-cheng JI Duo-zhe |
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| Institution: | Dept. of Civil Engineering, Anyang Teachers College, Anyang 455002, China |
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| Abstract: | The characteristic equation in common eigenvalue problems of spherical Bessel equation on the interval of was given.The spherical Bessel function was transformed into a cylindrical one by using the dependent relation of semi-odd-ordered Bessel function and Bessel function to each other,resulting in an eigenvalue and eigenfunction of the spherical Bessel equation on general intervals.Aimed at the different cases of high-order and low-order spherical Bessel function,the solution procedure for obtaining the roots of characteristic equation with Matlab programming was discussed and its practical application was introduced,also. |
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| Keywords: | spherical Bessel equation characteristic equation Matlab algorithm |
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