Under the circumstance of the real time monitor for the low-frequency variables, the method of one order difference equation has been proposed. At last, an example of its application is given.
对缓时变物理量的实时监测的情况，采取了一阶差分方程取代的方法。
Then for higher order chaotic discrete-time system, the approach discussed can be degraded to one order difference equation. As a result, chaotic discrete-time system can be easily solved by Matlab.
对于高阶离散混沌系统也可以采用上面的变换将系统降阶，变成一阶差分方程组进行求解，从而离散混沌系统都可以通过简单的编程实现数值仿真。
By using the contraction mapping principle, the boundary value problems for a second order functional difference equation are investigated.
利用压缩映照定理，研究了一个二阶泛函差分方程边值问题，得到存在和唯一性定理。
An important inequality is used to establish some criteria for the oscillation of forced difference equation and it is generalized to higher order.
借助一个重要的不等式研究一类带有强迫项的时滞差分方程的振动性，并推广至高阶的情形。
By using the contraction mapping principle, the boundary value problems for a second order functional difference equation are investigated. Existence and uniqueness results are obtained.
利用压缩映照定理，研究了一个二阶泛函差分方程边值问题，得到存在和唯一性定理。
In this paper, the second order fully discrete difference method for a partial integro-differential equation is considered.
本文给出了数值求解一类偏积分微分方程的二阶全离散差分格式。
The nonlinear Schrdinger equation leads to a second order nonlinear difference equation, and we obtain transmission spectrum of wave by iterating the difference equation.
把非线性薛定谔方程转化成二阶差分方程，通过迭代此差分方程得到透射谱。
Given the stability, error estimate and numerical experiments for the nonlinear equation of second order backward difference(4)Given the weighted of second order convolution quadrature.
给出非线性方程的二阶向后差分格式稳定性、误差估计。 （4）给出二阶卷积积分的权重。
A family of high accurate and three layer difference schemes containing parameters are constructed for solving four order parabolic equation.
对四阶抛物型方程构造一族含参数高精度三层差分格式。
A family of highly accurate and three layer difference schemes containing parameter are constructed for solving parabolic equation of four order.
对四阶抛物型方程构造了一族含参数高精度三层差分格式。
This paper is concerned with the asymptotic behavior and existence of positive solutions for a class of higher order nonlinear neutral difference equation.
研究了一类高阶非线性中立型差分方程正解的存在性和渐近性。
The autheors obtain results on the oscillations of solutions of a second order nonlinear neutral difference equation.
该文讨论了一类二阶非线性中立型差分方程解的振动性，扩充并改进了此类方程的已有结果。
This paper used centered difference to simulate the fluid movement in order to avoid lots of calculations in two dimension wave equation.
为避免二维波方程中的大量计算，使用二维波动方程的中心差分近似来模拟流体运动。
Highly precise solutions both in time and in space can be reached by solving wave equation with high order finite difference scheme of staggered grid under the condition of stability.
用交错网格的高阶有限差分方法解波动方程，在满足稳定性要求时，可获得时间和空间都是高阶精度的结果。
This thesis mainly studies the problem of the boundary value of second-order and third-order nonlinear and linear difference equation.
本篇硕士论文主要研究了一般形式的二阶和三阶非线性和线性差分方程的边值问题。
In this paper, an implicit-explicit upwind difference scheme for the first order linear hyperbolic equation is proposed using explicit scheme and implicit scheme alternately.
本文采用显格式与隐格式交替使用的方法，针对一阶线性双曲方程提出了一种隐-显迎风差分格式。
According to structural feature of typical geologic models in Shengli oilfield, the paper presented staggering mesh high-order difference forward simulation of density-variated acoustic equation.
根据胜利油田典型地质模型的构造特点，本文提出了变密度声波方程交错网格高阶差分正演方法。
The paper is regarding a fourth-order rational difference equation, proving that the positive equilibrium point of the equation is globally asymptotically stable.
研究了一个四阶有理差分方程，证明了该方程的正平衡点是全局渐近稳定的。
The high-order difference method of wave equation has the advantages of high accuracy and small numerical dispersion.
波动方程高阶差分法具有精度高、数值频散小的优点。
A high order accuracy compact difference method is presented for soling unsteady convection equation with source term.
提出了求解含源汇项非定常对流扩散方程的一类高精度格式。
In this paper a linear estimation problem for a stochastic process which is viewed as the output signal of a linear second-order vector difference equation driven by a white-noise input is considered.
本文考虑在白噪声输入情况下，二阶向量差分方程随机输出信号的滤波估计问题。
We studied the asymptotic behavior of solutions to third order Poincaré difference equation whose characteristic equation has multiple roots.
研究了三阶Poincaré差分方程解的渐近性质。这种差分方程对应的常系数线性差分方程的特征方程有重根。
In order to get FDTD iterative computation stable, FDTD numerical method should increase the subsidiary variable and the corresponding auxiliary difference equation.
FDTD数值计算要采用增加辅助变量和相应的辅助差分方程的方法使FDTD迭代计算稳定。
Two-point boundary value problems of second order mixed type integro-differential-difference equation is studied by means of differential inequality theories.
基于时滞微分不等式的方法，提出此网络在平衡点的渐近指数稳定的充分条件。
Two-point boundary value problems of second order Hammerstein type integro-differential-difference equation is studied by means of differential inequality theories.
基于时滞微分不等式的方法，提出此网络在平衡点的渐近指数稳定的充分条件。
Two-point boundary value problems of second order Hammerstein type integro-differential-difference equation is studied by means of differential inequality theories.
基于时滞微分不等式的方法，提出此网络在平衡点的渐近指数稳定的充分条件。
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