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.
The characteristic equation in common eigenvalue problems of spherical Bessel equation on the interval of [0,b] 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.
出处
《兰州理工大学学报》
CAS
北大核心
2007年第3期152-155,共4页
Journal of Lanzhou University of Technology
基金
河南省高校杰出科研人才创新工程项目（2005KYCX019）的资助
