查询词典 explicit differential equation

The conductivity field and hydraulic field are represented by Karhunen-Loeve expansion and polynomial expansion , respectively. The original stochastic partial differential equation is transformed into aseries of deterministic equation at the collocation points.

其渗透系数场和水头场分别被表示为 Karhunen-Loeve 展开和多项式展开的形式；初始随机偏微分方程被转化为在相应配点上的确定性方程。

Logistic equation, growth of the population, differential equation, power exponent.

逻辑斯蒂方程，人口增长，微分方程，幂律指数

In this paper, based on the research of two-wheel differential driving mobile's motive equation and the information provided by inner sensors, a compact and practicably equation was induced.

本论文根据两轮差速驱动机器人的微运动方程，以内传感器提供的信息为基础，推导了一种简洁实用的航位推算公式。

In the point reactor model, the probability function(n, t0, t) of a source neutron at time t0 leading to n neutrons at time t is dealt with. The non-linear partial differential equation for the probability generating function G(z; t0, t) is derived. By solving the equation, we have obtained an approximate analytic solution for a slightly prompt supercritical sys tem.

在点堆模型基础上，考虑了在t0时刻系统引入一个源中子，在t时刻产生n个中子的概率(n， t0， t)推导了概率生成函数G(z； t0， t)所满足的偏微分方程，并得到了近似解。

The paper prices bond and bond option, analyzing dynamic interest rate, regime-switching and option pricing. According to the affection of regime-switching to interest rate derivative pricing, the paper deduces the partial differential equation of bond pricing with Ito lemma, and obtains characteristic function and recursion equation of bond option.

从利率动态变化、结构转换和期权定价三个方面进行分析，对结构转换下的债券和债券期权进行定价，考虑了结构转换对利率衍生物定价的影响，利用Ito引理获得债券定价的偏微分方程，并得到债券期权定价的特征函数与递归等式。

The governing equation is further reduced into an ordinary nonlinear differential equation by Galerkin's method.

利用Galerkin方法将其转化为非线性振动方程。

The motion equation of a particle is reduced to the nonlinear differential equation with a weak_periodic modulation by sine_squared potential.

利用正弦平方势把粒子运动方程化为具有外周期弱调制的非线性微分方程，并利用Melnikov方法分析了系统出现Smale马蹄的临界条件。

Considering the change of the volume from the liquid state to the gas state, this paper implored the Clapeyron differential equation and the equation of vapor-liquid equilibrium, then obtained the heat of gasification and the entropy from 20 K to 38 K and the saturation curve.

本文采用Clapeyron方程的微分形式和氘的汽液平衡方程，考虑氘由液态转变为气态的体积变化，计算得到20K到38K各温度对应的气化热和熵变，最后绘制出氘的饱和曲线。

Considering the cha nge of the volume from the liquid state to the gas state, this paper implored the Clapeyron differential equation and the equation of vapor-liquid equilibrium, then obtai n ed the heat of gasification and the entropy from 20 K to 38 K and the saturation curve.

本文采用Clapeyron方程的微分形式和氘的汽液平衡方程，考虑氘由液态转变为气态的体积变化，计算得到20 K到38 K各温度对应的气化热和熵变，最后绘制出氘的饱和曲线。

The major implementations of the developed model include: Pseudo-spectral and finite-difference schemes are employed to approximate the spatial-differential operators in the horizontal and vertical directions, respectively. A second-order Runge-Kutta method is adopted to integrate in time for the velocity field and the free-surface elevation. The solenoidal condition of the velocity field is satisfied by solving the transformed pressure Poisson equation. A modified secant method is used to accelerate the iterative solution of the non-separable Poisson equation.

模式的主要数值方法包括：分别以拟频谱法以及二阶有限差分法近似控制方程与边界条件中的水平与垂直导数；以二阶Runge-Kutta法进行非稳态的自由液面位移与流场速度的时间积分；利用改良式割线叠代法求解计算区间中不可分离的压力Poisson方程式，以满足不可压缩流条件。

Yet, Edith says, there was always money in the bank.

但是Edith说，她的银行户口里面总是有钱。

We have created a series of files that resolve this problem--one for each day of the 40 days of purpose.

我们制作一系列的档案去解决这问题---一个为标竿40天中的每一天。