但这一偏微分方程不能直接积分，所以通常用纳维法、瑞利-里兹法、有限差分方法等方法求解。
But this partial differential equation can not be directly integral, so usually use Navier method, Rayleigh Ritz method and finite difference method and other methods.
为了求解这两个微分差分方程，给出一个系统的代数算法。
In order to solve the two differential-difference equations, a systematic algebraic algorithm is given.
本文讨论一类二阶奇摄动非线性微分差分方程组的边值问题。
In this paper, We discuss a class of boundary Value problems of second order singular perturbed nonlinear differential difference systems.
给定一个椭圆方程，我们先找出这个方程的拉氏函数，用差分代替微分，得到离散的拉氏函数。
At first we can get the Lagrangian function from the elliptic equation, then replace differential coefficient by difference and get the discrete Lagrangian function.
本文基于谱问题的特点利用直接方法导出了1 + 1、2 + 1维微分—差分方程的无穷多守恒律。
In this paper, we derived the conservation laws of 1 + 1, 2 + 1 dimensional differential-difference equations on the base of discrete spectral problems through a direct method.
摘要通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
其中连续动力学由微分或者差分方程描述，离散动力学由有限的自动开关描述，并由异步的离散事件驱动。
The continuous dynamics is governed by differential or difference equations, whereas the discrete dynamics is governed by finite automata that are driven asynchronously by external discrete events.
通过构造差分方程的周期数列解，研究了一类具有分段常数变元的脉冲微分方程周期解的存在性。
The existence of periodic solutions for a class of impulsive differential equations with piecewise constant argument is studied by constructing periodic sequence solutions of difference equation.
根据喉部沉积的传热模型建立了偏微分方程组，采用有限差分完全隐式格式进行数值分析计算。
On this heat transfer model the differential equations were based, and the finite difference complete concealed grids were used in the numerical analysis computation.
采用双参数地基模型来改进温克尔地基模型，并用有限差分的方法求解任意荷载下条基的微分方程，得到便于工程计算的线性方程组。
Take double parameters foundation model to improve Winkler model, and use finite difference method to resolve linear basis under columns and get linear equations which could be easily used in works.
引入差分方程研究布朗运动，会发现极限情况下的布朗运动所遵循的偏微分方程就是数学物理方程中的扩散方程。
Studying Brownian motion by the difference equation, We can find that the partial differential equation describing the Brownian particle motion is a diffusion equation in mathematical physics.
研究二维非线性延迟抛物型微分方程交替方向差分方法。
The alternating direction difference method for the two-dimensional nonlinear delay parabolic differential equation is given.
随机延迟微分方程数值方法中欧拉方法是唯一较为成熟、有效的方法，但欧拉方法的收敛性差，其收敛阶仅为二分之一。
Only the Euler method is popular and efficient among the numerical methods for the stochastic delay differential equations, but its order of convergence is only 1/2.
控制方程是一维非定常气体动力学偏微分方程组，用隐式中心差分结合特征线法解算。
The numerical solution of the governing equations, pertaining to one-dimensional unsteady gas dynamics, utilizes an implicit finite-difference scheme combined with the method of characteristics.
所得的结果适用于微分差分方程和具连续分布滞量的积分微分方程。
Results are useful for differential difference equations and differential integral equations with continuous distributed retards.
本文获得了一阶正负周期系数的中立型微分差分方程振动的充分条件。
Some sufficient conditions are obtained for the oscillation of first order neutral differential-difference equations with positive and negative periodic coefficients.
差分方法是解偏微分方程的有效而实用的方法，它的计算量小，精确度高。
The difference method is efficient and practical method to solve the partial differential equation, which has some advantages of a little computational effort and high accuracy.
该模型的数学形式是一个非线性二阶常微分方程，利用有限差分方法进行求解。
The mathematical expression of this model is a second order non linear ordinary difference equation.
本文讨论常微分方程差分周期解的几何性质。
In this paper the geometric properties of the difference periodic solutions of ordinary differential equations are discussed.
采用时间和空间均为二阶精确的有限差分方法，将偏微分方程进行差分化。这样，空间的电磁场可由时间域有限差分法（FDTD）来求解。
The TM set of equations can be solved using a finite difference time domain (FDTD) approximation that is second-order accurate in both space and time.
关于双曲型偏微分方程式差分逼近的双边值问题的G.K.S。稳定性。
The G. K. S. Stability of the Hyperbolic Difference Approximation with Two Boundaries Initial-Value Problems.
微分方程经过差分化后引出差分方程。
通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
通过时滞微分方程和离散差分方程的振动性，建立了具有连续变量的非线性差分方程的振动性条件。
This paper made use of oscillations of delay differential equation and difference equation, established oscillation criteria for nonlinear difference equation with continuous argument.
通过时滞微分方程和离散差分方程的振动性，建立了具有连续变量的非线性差分方程的振动性条件。
This paper made use of oscillations of delay differential equation and difference equation, established oscillation criteria for nonlinear difference equation with continuous argument.
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