分离变量法

分离变量法与哈密尔顿体系

Method of Separation of Variables and Hamiltonian System

分离变量法与等腰直角三角形波导的边值问题

Method of separation of variables and boundary value problem of the ISOSCELES-RIGHT triangular waveguide

Simple算法用来完成对0阶方程的积分，分离变量法用来求解1阶扰动方程。

The Simple algorithm is used to integrate the zeroth-order equation .

广义Radon变换的分离变量法

The separated variable method of the generalized Radon transform

一类Poisson方程的分离变量法

Separating variables for a class of Poisson equation

基于Hamilton体系的分离变量法

Variable Separation Method Based on Hamilton System

传统的求解一维波动方程混合问题的方法是分离变量法，进而求出该问题的Fourier级数解。

The traditional method to solve the mixed problem of one-dimensional wave equation is the decoupling variable method , then one gets a Fourier series solution .

用分离变量法求解长旋转椭球坐标下的Maxwell方程

The Solution of Maxwell 's Equations in Prolate Spheroidal Coordinates Obtained by the Method of Separation of Variables

由Bessel方程控制速度振幅，用分离变量法求出了解析解。

The oscillation of velocity was controlled by Bessel equations , and the analytical solution was obtained using the variable separation method .

依据LAGRANGE系统广义动力学方程、连续体动力学理论分别建立起升系统启动及制动过程钢丝绳缠绕快绳拉力的动力学模型，并分别采用模态分析法及分离变量法求解；

Established the tensile force kinetic model for the enwinding wire rope used the Lagrange kinetic equation and the continual kinetic theory in the start up and retard moment .

分别用传统分离变量法和基于Hamilton系的分离变量法求解波动方程与热传导方程，得到了完全相同的结果。

The classical methods of separation of variables and the variable separation method in the Hamilton system are respectively used to solve the wave equation and heat transfer equation , finally get the exact same results .

1D水平层状介质模型的瞬变电磁场，用分离变量法推导了垂直和水平磁偶极子源的矢量位求解方法。

The transient electromagnetic field in 1D layered medium model was calculated . The solving method of vector potential of vertical and horizontal magnetic dipole source were deduced by method of separation of variables .

本文在所给边界条件下，应用分离变量法，推导了电磁聚焦、静电偏转（MS型）摄像管静电场（包括图案偏转电极所产生的偏转场与轴对称聚焦场）的电位分布计算分式。

This paper , on given boundary conditions , applied seperation variation method , derived potential distribution calculation formulas of magnetic focus electrostatic deflection ( MS type ) camera tube in electrostatic field , Which includes deflecting field and axis-symmetric focus field generated by pattern yoke electrode .

借助于一个可用分离变量法求解的辅助常微分方程，简洁地求得了双sine-Gordon方程的若干显式精确解。

By introducing an additional ordinary differential equation and the method of variable separation , some explicit and exact solutions to double sine-Gordon equation were found in a concise way .

用分离变量法、傅氏变换和留数定理求解Helmholtz方程，获得电偶极子激励的Green函数及其场。

The scalar Helmholtz equation in cylindrical coordinate is constructed , using the method of separating variable , and fourier transform , and residue theory , and the Green 's function and field of the transverse electric mode associated with the electric diple are also obtained .

提出了具有低渗流壁圆管中对流传质的数学模型，将传热传质的经典Graetz问题扩展到圆管中K2<0情况下的二维层流传质问题，并采用分离变量法进行了解析求解。

A mathematical model describing the mass transfer in a cylindrical tube for laminar flow with low wall - seepage velocity is presented . It is an extension of Graetz problems in heat and mass transfer to the situation for two-dimensional laminar flow and K_2 < 0 in a duct .

关于分离变量法的一个注记分居制度研究

A Separation Variable Method A notes on the variable separation approach

两维复合介质里热传导的分离变量法

Separation of Variables for Solving Heat Conduction Problems in Two-Dimensional Composite Media

各向异性介质静电势微分方程的分离变量法

Separation of Variables for Solving Differential Equations of Electrostatic Potential in Anisotropic Medium

一类弹性力学平面矩形域问题的分离变量法

Separation of Variables of a Group of Plane Elasticity Problems in Rectangular Domain

一种新的符号求解机器人逆运动学的分离变量法

A new decoupling method for symbolic solution of the inverse kinematics of robots

用加乘混合型分离变量法求解变热物性导热微分方程

Solving thermal conduction differential equation by mixed addition and multiplication variable separation method

用分离变量法求极坐标平面问题的一般解

The general solution for plane problem in polar coordinate system by separate variable method

分离变量法的若干注记

Some Notes about the Seperated Method of Variable

焦耳内热源温度场求解的分离变量法

Solution of Temperature Field with Internal Joule Heat Generation by Method of Separation of Variables

分离变量法是求解静电场边值问题常用的方法。

Segregation variable method is a routine procedure applied to boundary value in electrostatic field .

线性化方程韭用分离变量法解之；

Obtaining the Solution of linearized equations by using the method of separation of variables .

用分离变量法求解水轮发电机端部三维磁场

Three Dimensional Magnetic Field Analysis in the End Region of Hydrogenerator by the Separation of Variables

用分离变量法推导了空间电荷场的电位方程，并借鉴田炳耕荷电圆盘模型求解出空间电荷场。

By using variable-separated theory , the potential energy equation in space charge field was derived .

本文用分离变量法求解了两维复合介质里无内热源的热传导问题。

Separation of variables is used to solve homogeneous heat transfer problems in two-dimensional composite media .