The treatment, by which the non-homogeneous equation was transformed into homogeneous equation, not only simplifies.
将非齐次方程转化为齐次方程不仅使问题变得大为简化，同时也减少了数值计算的工作量。
Based on the original precise integration method, the problem that singular matrix appears in non-homogeneous equation was discussed.
在原有精细积分法的基础上，对非齐次方程出现奇异矩阵的问题进行探讨。
By equating the determinant of the steady-state homogeneous equation to zero, the terminal capacitances for maintaining constant voltage are computed.
令发电机稳态运行所对应齐次方程的行列式为零，并使发电机的端电压为恒值，计算不同运行状况下机端电容值。
First of all, a non-linear Schrodinger equation can be converted into homogeneous equations, and then the precise integration method can be used to solve these problems.
首先将非线性薛定谔方程变形为齐次方程的形式，然后用精细积分法模拟其随时间的演化过程。
In the solving process of homogeneous equation set, the operational procedure for elementary line transformation is sometimes not simple and convenient as it seems to be.
在齐次方程组求解的过程中，初等行变换的运算过程有时显得并不简便。
The application of the asymptotic solution of second order linear homogeneous equation with big parameter to studying the longitudinal and twisted vibrations of tapered sticks is discussed .
讨论了含大参数的二阶线性方程的渐进解，并将其应用于楔型杆的纵振和扭振的研究。
The boundary integral equation in homogeneous media was dispersed into algebraic equations through the use of spline function.
采用样条插值函数将均匀介质的边界积分方程离散为代数方程组。
Electron energy distributions of direct-curent argon discharges at low pressures were calculated by numerically solving the homogeneous Baltzmann equation.
由数值求解均匀的玻尔兹曼方程，计算出低压直流氩放电中电子的能量分布。
It is proved that if the medium is piecewisely homogeneous, the solution of the differential -integral equation satisfies the boundary conditions on boundaries between different media.
证明了在介质为分区均匀的条件下，这个微分-积分方程的解满足不同介质边界面的边界条件。
NURBS curve equation has three kinds of the equivalence form, i. e. rational fraction, rational base function and homogeneous coordinate.
NURBS曲线方程具有三种等价形式：有理分式表示、有理基函数表示和齐次坐标表示。
The reason is that the derived equation assumes the formation is homogeneous and fluid flow is single phase.
具原因在于公式推导中假定地层是均质的、流体做单相流动等。
The homogeneous solution of the differential equation for the shear lag was taken as the displacement pattern of finite segment.
取控制微分方程的齐次解作为梁段的有限元位移模式。
In this paper, we study the structure of the linear recursion equation and get the solution to the constant coefficient linear homogeneous recursion equation.
本文研究了线性递推方程解的结构以及常系数线性齐次递推方程解法。
It's basic idea is to change a nonlinear equation into homogeneous form through a suitable transformation.
它的基本思想是运用合适的变换将非线性方程转变成齐次形式。
This paper presented a mixed state equation and its solution for the torsional vibration of a homogeneous shaft with identical cross section.
本文给出了均质等截面轴扭转振动的混合状态方程及其解。
The validity of homogeneous balance method for solving differential equation was shown by solving a new Hamilton amplitude equation.
本文用齐次平衡方法求出了哈密顿振幅方程的精确解。
Under homogeneous conditions, the application of this equation may give a differential approximation of high order accuracy for Lapace equation, Poisson equation and heat conduction equation.
在矩形网格上的九点差分近似的正确公式。使用它，在均质情况下，对拉普拉斯方程、布阿松方程和热传导方程可以构造出高阶精度的差分近似。
Secondly, the surface integral equation(SIE) is presented to calculate the electromagnetic scattering characteristics from the homogeneous dielectric targets.
其次，本文基于面积分方程，研究了均匀介质目标的电磁散射。
Using integral equation method, the numerical algorithm of 3D magnetotelluric responses in homogeneous half-space is realized.
利用积分方程法实现了均匀导电半空间三维大地电磁响应的数值模拟。
An important case is the linear homogeneous second-order differential equation with constant coefficients.
一种重要的情形是常系数二阶线性齐次微分方程。
A transfer matrix differential equation is derived from the three-dimensional equilibrium equations and constitutive equations of a homogeneous, isotropic linear elastic body.
从三维弹性力学最基本的平衡方程和本构关系出发，推导出状态传递微分方程。
A simple method for the orthogonal fundamental solution of homogeneous linear equation system and the example in its application are given.
给出了求齐次线性方程组正交的基础解系的一个简便方法和一个应用实例。
We derive the analytic solution of the non-homogeneous fractional diffusion-wave equation under the mixed boundary conditions using the method of separation of variables.
利用分离变量方法导出了在混合边界条件下的非齐次分数阶扩散-波动方程的解析解。
Regarded fabric as homogeneous porous media, this paper arrives at the theoretical equation of fabric's diffusion moisture performances in different directions with the law of Hydromechanics.
通过将织物抽象成均匀的多孔介质，利用流体力学原理推导出织物各方向扩散的理论方程。
Using the extension homogeneous balance method, we have obtain some new special types of soliton solutions of the (2 + 1) - dimensional breaking soliton equation.
使用齐次平衡方法，得到了（2+1）维破裂孤子方程的一些新多孤子解。
The convergence of the formal series solution to the initial boundary value problem for the non-homogeneous wave equation is considered.
考虑非齐次波动方程初边值问题的形式级数解的收敛性问题。
In general, special solution of non-homogeneous linear equation of constant coefficient of the second order is obtained by the method of undetermined coefficient, but it's process is too complicated.
二阶常系数非齐次线性微分方程的特解一般都是用“待定系数”法求得的，但求解过程都比较繁琐。
In this paper, the interaction between a cw plane wave and a plane pulse travelling with sound speed is considered. Both of them satisfy the homogeneous wave equation.
本文讨论一列平面波与一列平面行波脉冲的声相互作用，显然这两个波不仅都满足波动方程，而且可以用来讨论公共区之外的声散射声问题。
A new characterization of the almost homogeneous functions is obtained which can be considered as a natural extension of the Euler equation characterizing the homogeneous functions.
给出了几乎齐次函数的一个新的刻划定理，这一刻划是齐次函数欧拉定理的拓广。
This equation shows that, if we neglect the correlations among firms and suppose homogeneous geography, we shall not get industry clusters and conclude industry diffusion.
它的解显示，如果不考虑企业之间的关联性以及假设地理均质，那么便不可能形成产业集群而只会得到产业扩散的结论。
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