查询词典 implicit differential equation

The discretisation of the velocity space in the kinetic theory of gases allowsus to replace an integro-partial-differential equation,the Boltzmann equation,by a system of hyperbolic semi-linear partial differential equations.

在气体运动论中将速度空间离散化处理，使得我们可以用一个双曲型的半线性偏微分方程组来取代Boltzmann方程这个积分微分方程。

These transfer equations were used to reestablish the entropy transfer equation for the electromagnetic fluid,and further to reconstitute the differential component equations for different forms of exergy and the differential equation for total exergy in the fluid by the definitions of thermal,pressure,chemical,kinetic,potential and electromagnetic forms of exergy.

通过定义热火用、压火用、化学火用、动能火用、势能火用、电磁火用，重新构建了不同形式火用传递的分量方程及其总火用传递方程。

The bifurcation and chaos behavior of impact and rubbing fault rotor system caused by the parameters of nonlinear rigidity, rotor rotating speed, eccentric mass is analyzed, in the numerical value analysis method. The bifurcation diagrams, maximum Lyapunov exponent diagrams, Poincaré maps, phase plane portraits, trajectories of journal center, time-history curve, amplitude spectra diagrams of the rotor motion are used. The convert and evolution course of periodical response, quasi-periodical response, double-periodical bifurcation, chaos of the system response is analyzed.(3). It is deduced that the general differential equation of bending-torsional-pendular coupling vibration about rotor with the gyroscopic moment. On the basis of this equation, the general differential equations of coupled bending, torsional and pendular nonlinear vibration about rotor with unbalance character and rubbing character are deduced.

2建立了具有非线性刚度的转子系统在非稳态非线性油膜力作用下的径向碰摩动力学微分方程，并应用含高阶余项的非线性动力方程的线性化数值法研究了此类系统响应的复杂动力学行为，利用转子响应的分岔图、最大Lyapunov指数曲线、Poincaré截面映射、时域波形、相轨线、轴心轨迹、幅值谱等图形分析了系统响应的周期运动、拟周期运动、倍周期分岔、混沌等运动形式的转化与演变过程，重点研究了非线性刚度、转子转速、偏心质量等系统参数对碰摩故障转子系统的分岔和混沌行为的影响。

In order to study the primary resonance and primary parametric resonance of a rectangular deck plate subject to harmonic disturbances in temperature field, by applying elastic theory, a nonlinear dynamical equation in partial differential form for the plate is established first. Then the nonlinear vibration equation in ordinary differential form is obtained based on Galerkin's method.

为了研究温度场中桥面矩形薄板受简谐激励的主共振－主参数共振问题，应用弹性力学理论建立其动力学方程，应用Galerkin方法将其转化为非线性振动方程。

And by the backward stochastic differential equation we get the corresponding partial differential equation of the European option price when those parameters are constants.

并且，借助倒向随机微分方程找到在以上参数均为常数时，期权价格所满足的偏微分方程。

This paper research on the effect of investment with reserve for insurance price by theory of backward stochastic differential equation.Modeling the investment with backward stochastic differential equation and the resultts got.

本文利用倒向随机微分方程的理论，在考虑保险公司提计准备金的背景下研究投资对于保险价格的影响，建立了再保险投资定价的正倒向微分随机方程的模型，并给出了保险价格的显性解。

By the improved algorithm of exploring iterative interpolation method, the pre-estimate formula in the form of 2-order differential equation have been replaced by pre-estimate formula in the form of 1-order differential equation, confirm the u monotony accession strictly. It could avoid the interpolation direction converse and oscillation.

算法采用改进的探索迭代法实现，用一阶差分预估器代替二阶差分预估位置点的偏差器，保证曲线参数u的严格单调增加，以消除插补方向反转和振荡现象。

Based on thefundamental equations of motion of the theory of radial nonhomogeneousspherically isotropic elasticity,and,by introducing three displacementfunctions ψ,G and w,we get a simplifted system of the problem thatincludes an independent second order partial differential equation offunction ψ and a coupled partial differential equation set of functions Gand w.

针对沿径向为非均匀的且考虑温度和体积力影响的球面各向同性弹性体的振动问题，本文从三维基本运动方程出发，引入三个位移函数ψ，G和w，将问题简化为求解一个关于ψ的独立的二阶偏微分方程和一个关于G和w耦合的偏微分方程组。

In this way the algebraic equation and the differential equation of the elasticity are simplified to the linear equation.

这样可使弹性力学中的代数方程和微分方程简化为线性方程。

This paper, considers conservative equation with periodic boundary value problem, and construct a difference scheme, Uses the method of decomposing the singular term from its solution and combining an asymptotic expansion of the equation, proves that the scheme converges uniformly to the solution of differential equation with order one.

研究守恒型奇振动方程的周期边界问题，构造一个差分格式，利用分解解的奇性项的方法，结合问题的渐近展开，证明所构造的差分格式为一阶一致收敛。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。