贝塞尔方程

非齐次贝塞尔方程的解

Solution to nonhomogeneous Bessel equation

非整数阶贝塞尔方程的固有值问题及其应用

Eigenvalue Problems of the Bessel 's Equation of Nonintegral Order and their Applications

本文是文[1]的继续，专门讨论非整数阶贝塞尔方程的各类固有值问题。

This paper is a continuation of the article [ 1 ] , specially discusses different kinds of eigenvalue problems of the Bessel 's equation of nonintegral order .

计算轴对称场的涡流，用数值方法求解贝塞尔方程·利用相量法将分析静态场的有限差分法用于分析正弦稳态场；

Calculating eddy currents in oil-well casing pipe requires numerical methods to solve Bessel equations . The finite differential method for analyzing static fields was be used to analyze sinusoidal steady-state field by using phasor method .

本文利用未知函数分解的技巧，推导出了将二阶变系数线性常微分方程化为常系数方程，或化为欧拉方程，贝塞尔方程等一些已知类型方程的充分条件。

In this paper we have used the skills of the resolution of the unknown function to induce the full conditions of some known typical equations of transforming two - order variable coefficient linear ordinary differential equations into ordinary coefficient equations , or Euler equations , Bessel equations .

应用量纲分析法可以解出现有许多能化为贝塞尔函数的方程，得到与常用分离变量法完全相同的结果。

Dimensional method can be applied to solve those equations convertible into Bessel equation , the results obtained are identical with those solved by the commonly used separate variable method .

将傅里叶&贝塞尔级数引入积分方程方法，推导出一种研究沿直边简支环扇形板结构振动特性的简捷、高效的积分方程方法。

A both brief and effective integral equation method is given by combining the approach of integral equations and the Fourier series method in structure mechanics .

将富里叶-贝塞尔级数引入积分方程方法，给出了一种求解直边简支扇形板振动特性的新的积分方程方法。

Abstrect : A new integral equation method is given to solve the vibration characteristics of sector plates by combining the approach of integral equations and the Fourier series method in structure mechanics .