并采用分支理论得到了反应动力学方程的近似解。
And the approximate linear solutions of the reaction dynamic equations are obtained by the theory of bifurcation.
应用三角剖分、引入面积坐标来求出方程的近似解。
The triangular elements and area coordinates are used to solve the numeric solution.
在适当的条件下，较简捷地得出了这两类非线性波方程的近似解。
Under appropriate conditions, the approximate solutions for two nonlinear wave equations are obtained simply and conveniently.
用另一种方法导出了秋千非线性动力学微分方程的近似解，很适合课堂讨论。
The approximate solution to the nonlinear differential dynamic equation of a swing is derived by using another simple method, which is very suitable for discussing in class.
根据陈宁馨方程的近似解析解，导出了一个适用于精密精馏板式塔的简捷设计方程。
In this paper a short-cut design equation that applies to plate column for close-boiling fractionation is developed based on the approximate analytical solutions of Ning Hsing Chen's equations.
求出了丰度方程的近似解，从而计算得到热扩散级联的长度及同位素浓缩产品的丰度。
The solutions of the differential equations are calculated, through which the length of thermal diffusion cascade and the abundance of isotope products are calculated.
根据板材塑性成形过程中的拉应力与剪应力关系的假设，可以得到力学方程的近似解。
According to the hypothesis between tensile stress and shear stress relationship during sheet metal forming, a similar solution of the equations can be obtained.
该系统所采用的算法由于作了某些必要的近似处理，避免了直接解非线性方程组同时又满足了精度要求。
By making some necessary approximations, the algorithm used for this system is able to avoid solving directly system of nonlinear equations without losing the expected accuracy.
借助于型参数，通过变换动量积分方程，得出动量损失厚度近似解的表达式。
By type factors and transitional momentum integral equation, the approximate expression of momentum thickness is presented as well.
本文给出有限长径向轴承雷诺方程的一种近似解。
This article brings forward an approximate analytical solution to Reynolds equation for finite journal bearings.
加权残值法是一种可以直接从偏微分方程中求得近似解的数学方法。
The method of weighted residuals is a mathematic procedure with which approximate solutions can be obtained directly from partial differential equations.
处理孔缝边界时，用级数展开和积分方程得到金属拐角处电磁场的近似解。
For dealing with the electromagnetic fields near edges, an approximate scheme is developed using the series expansions and integral equations.
该法可以更加近似赫姆霍兹方程，且它的解中包含WKB的近似值。
The method can make it more approximation to Helmholtz equation and it's answers include WKB approximation.
进一步指出了高斯光束作为波动方程傍轴近似解的条件。
Furthermore, the conditions have been given that Gaussian beam is a paraxial approximation solution of the wave equation.
本文推出了等截面矩形直肋的一维修正传热方程及修正近似解。
An improved one dimensional heat transfer equation of the rectangular longitudinal fin with uniform section and its modified approximate solution are proposed.
带有提前支付特性的期权定价方程无法直接求出解析解，而传统的近似方法有其局限性。
No analytic formula have been solved from mortgage pricing equation with prepayment, and approximation methods limited in their application.
由于几何光学法求解钻头震源波动方程的高频近似解有局限性，即在焦散区失效，故只能计算非焦散区的高频近似解。
Geometrical optics approach can only calculate the high frequency approach solution of drilling bit vibration source wave equation in non caustic area but it become invalid in caustic area.
只有在极特殊的情况下超定方程组才有精确解，一般情况下都是求超定方程组在某种意义下的近似解。
Only in under very special circumstance, an overdetermined systems have accurate solutions and general an approximated solution is often found in some determination of the overdetermined system.
通过合理控制计算量，得到了微分方程近似解的局部截断误差的估计。
The local truncated error estimation of the approximately solution could be obtained with reasonable computational cost.
给出了求解具有周期边界条件色散方程近似解的交替分组迭代法。
The alternating group iterative method for the dispersive equation with periodic boundary condition is presented.
同时求解了采用该乳胶管弹簧下的超低频标准振动台的运动方程近似解，得到了波形失真度计算式。
The formula of waveform distortion is obtained by the approximate result expression of nonlinear equation about ultra low frequency standard vibrator with this kind of emulsion pipe spring.
在控制器的设计中利用插值法导出了一个超越方程解函数的具有较高精度的近似计算公式。
An approximate formulation with sufficient high precision is obtained from an implicit function in designing the feedback linearization control law.
本文给出了在有限厚超导环中G—L方程的弱磁场近似解。
The G—L equations in a superconducting cylinder are solved with perturbation theory.
阐述利用最新提出的同伦分析方法求解有正阻尼的强非线性振动方程，得到了该方程的六阶近似解析解。
In this paper, the sixth-order approximate analytical solutions of the strong nonlinear oscillation with positive damping are obtained by using newly developed homotopy analysis method.
给出一个解非线性对称方程组问题的近似高斯·牛顿基础bfgs方法。
An approximate Gauss Newton based BFGS method for solving symmetric nonlinear equations is presented.
给出了热传导方程边界控制问题的精确解和近似解，证明了近似解对精确解的收敛性。
In this paper, the exact solution and approximate solution of the boundary control problem for a class of the heat-conduction equation are given.
配置法是以满足纯插值约束条件的方式，寻求算子方程近似解的方法，且具有无需计算数值积分、计算量小、收敛阶高等优点。
The collocation method is a numerical method which search for the approximate solution of the equation by way of meeting pure interpolation condition.
模型在有限体积法框架下应用黎曼近似解求得耦合方程的数值解。
Under the framework of finite volume method, the Riemann approximate solver is applied to obtain the numerical solution of the equation.
模型在有限体积法框架下应用黎曼近似解求得耦合方程的数值解。
Under the framework of finite volume method, the Riemann approximate solver is applied to obtain the numerical solution of the equation.
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