2) variable separation solution
变量分离解
1.
Using a Bcklund transformation and the variable separation technique, we find the variable separation solution of the (2+1) dimensional Burgers equations by the entrance of there arbitrary functions (one condition function) for the seed solution.
利用变量分离方法 ,获得了 (2 +1 )维非线性Burgers方程的变量分离解 。
2.
Applying the extended homogeneous balance method, the variable separation solution with two arbitrary functions to the three-dimensional generalized Burgers equation is obtained.
应用推广的齐次平衡方法,得到了三维Burgers方程含有两个任意函数的变量分离解。
4) method of separation of variables
分离变量法
1.
When the conductance sensor was filled with a homogenous medium,the sensitivity distributions of the electrical potential and the current density in radial and axial direction were derived by using the method of separation of variables.
之后在此模型基础上,利用分离变量法推导了均匀媒质时传感器内部电势、轴向电流和径向电流的分布,并得到了简单非均匀媒质时场域内各点电压的数学理论解。
2.
First,using the method of separation of variables,torsion stress function is acquired in polar coordinate.
柱体扭转的基本方程为非齐次偏微分方程,在极坐标系下,利用分离变量法及特解法,求出扭转应力函数,再由边界配置法计算出满足扭转问题边界条件的待定常数,得到了扭转应力函数的近似数值解,进一步即可计算横截面上的剪应力。
3.
The displacement equation, velocity equation, stress equation and strain equation were established by using the method of separation of variables.
对原木中微小单元进行动力学分析,确定应力波沿原木轴向传播的波动方程,应用分离变量法,得出应力波沿原木轴向传播的位移、速度、应力和应变方程。
5) variable separation method
分离变量法
1.
Solving thermal conduction differential equation by mixed addition and multiplication variable separation method;
用加乘混合型分离变量法求解变热物性导热微分方程
2.
Applying variable separation method and variational principle,slab temperature distribution of one-dimensional,unsteady,inconstant heat flux was derived.
基于合理的简化假设,建立加热炉内钢坯热传导数学模型,应用分离变量法和变分原理,推导一维、非稳态、变热流钢坯温度场的解析解;定量研究热流为线性分布、正弦分布时,钢坯温度场随加热时间的变化规律,并研究对应不同的傅里叶数,钢坯温度沿厚度方向的分布。
3.
Some exact solutions for the (B-K) equation with variable coefficients are obtained by using the variable separation method, which include some exi.
研究了变系数(2+1)-维B roer-Kaup方程的精确解问题,通过该方程的Backlund变换,找到该方程未知函数间的变换,从而将变系数(2+1)-维B roer-Kaup方程转化为一线性偏微分方程,利用分离变量法获得了变系数(2+1)-维B roer-Kaup方程一些新的精确解,所的结果包含了已有文献中的有关结果并发现了一类新的分离变量解。
6) separation variable method
分离变量法
1.
A heat transfer model of structural layer of floor for the radiant floor heating system is introduced,as well as the floor structure level temperature distribution and the surface average temperature using the separation variable method.
介绍了低温地板辐射供暖系统地板结构层传热模型,采用分离变量法推导出地板结构层温度分布的解析解,首次与相同模型下有限差分法求得的数值解进行比较,分析了不同因素对地表平均温度的影响。
2.
In this paper,separation variable method is applied to solve a Fourier solution for the Dirichlet question in circle of poisson equation.
本文应用分离变量法,求出了一个泊松方程圆内狄利克雷问题的付氏解。
3.
In this paper,separation variable method is applied to solve a Fourier solution for poisson equation in territory of rectangular.
本文应用分离变量法,求出了一个泊松方程矩形域上的付氏解。
补充资料：分离变量法
分离变量法
separation of variables, method of
分离变且法!史钾.6阅of var认ues，n长d加吐of;pa3朋-二eH一，nePeMeHn以MeTO八1 同f议州政法(Founer Inet址心).
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条