查询词典 difference equation

The finite difference method is employed to discretize the governing equations and the projection method is used to derive a pressure Poisson equation that can ensure the satisfaction of continuity equation.

控制方程式采用有限差分法求解，并利用投影法导出压力的波松方程，使得能自动满足连续方程式。

In the simplified model, the governing equation of heat conduction is discretized using implicit finite difference method, and the computational domain is discretized using cell centered scheme, and the solution of Maxwell equation is used to determine the distribution of the internal heating sources.

使用的简化模型中热传导方程的离散采用隐式差分法、区域的离散采用内节点法，并以Maxwell方程的解确定内热源分布。

And we show that random walk model converges to the stable law of Lévy-Feller advection-dispersion equation by use of a properly scaled transition to vanish-ing space and time steps,We propose an explicit finite difference approximation for Lévy-Feller advection-dispersion equation.

第三章讨论描述服从某种稳定分布反常扩散的非对称空间分数阶对流-扩散方程——Lévy-Feller对流-扩散方程，首先利用Fourier变换和Laplace变换给出方程的基本解，然后利用Grünwald-Letnikov分数阶导数移位离散算子离散方程中的Riesz-Feller分数阶导数得到离散格式，证明此格式可以解释为离散随机游走模型，并且证明了当时间和空间步长以一定的比率同时趋于0时，所提出的离散随机游走模型收敛到Lévy-Feller对流-扩散过程的稳定分布。

Use of the finite difference method for Volterra equation here as a variable element of the equation, As the same...

用差分方法求解沃尔泰拉方程，此处为一个变元的方程，由于该方程同时含有微分和积分，一般求解有一定的困难。

In the first part we consider the convergence and stability of finite difference scheme for Landau-Lifshitz equation in one dimensions space and 2d radial symmetric Landau-Lifshitz equation.

在第一部分，我们研究一维Landau-Lifshitz方程非齐次边值问题和二维柱对称Landau-Lifshitz方程Neumann边值问题的有限差分格式。

Finite element discretization was carried out on the mathematical model to get a fully coupled finite element equation with the parameters of element nodal displacement and element nodal pore pressure as unknown variables. Finally, the transient nonlinear finite element equation in incremental form for reservoir fluid-solid coupling is obtained by means of time discretization in implicit difference scheme.

基于与微分方程等价的加权余量公式，在空间域采用有限元离散，对时间域进行隐式差分格式离散，导出了以单元节点位移和单元节点孔隙压力为未知量的储层流固耦合的非线性有限元增量方程。

In involucre,amino acids content of normal chestnut had a regression equation with significant correlation,other's regression equation of contents change did not gain a notable level,also hadn't have a apparent difference between the empty shell and normal chestnut.

总苞内除正常栗氨基酸含量得到相关极显著的回归方程外，其它的含量变化回归分析均未得到显著水平，空篷栗与正常栗的差异亦不显著。

This article consists of four parts: In the first part of thesis introduced Heisenberg's early years of life and the creation of Matrix mechanics, expounded Münich、G?ttingen,Copenhagen, three places different academic atmosphere which produce to Heisenberg's institute of physics, and revealed how to set up Matrix mechanics by mathematics method; The second part introduce Schr?dinger's university life, the research results, and the establishment of Wave mechanics. The different academic atmosphere of Vienna and Zürich have the difference influence which brings to Schr?dinger's research work, how to establishment the Schr?dinger equation based on Hamilton equation of classical mechanics, and elaborated the physical controversy caused by the equivalent.; The third part analyzed two mechanics different approaches in which the way to propose the question and solve the question; The last part recommend the different philosophy interpretations, Schr?dinger's interpretation onΨfunction, the statistical interpretation of Wave mechanics, uncertainty principle, and which caused this free discussion of quantum mechanics.

文章共分为四部分：第一部分介绍了海森伯的早年生活及其创立矩阵力学的过程，阐明了慕尼黑、哥廷根、哥本哈根三地不同的学术氛围对海森伯的物理研究所产生的不同作用，并揭示了海森伯如何用数学方法建立矩阵力学方程的过程；第二部分介绍了薛定谔的大学生活、研究成果，以及波动力学的创立过程，说明了维也纳和苏黎世不同的学术气氛给薛定谔的研究工作带来的不同影响，解释了薛定谔以经典哈密顿方程为基础建立薛定谔方程的过程，并阐述了等价性所引起的物理争论；第三部分分析了两种力学的思想进路在提出问题、解决问题上的不同；最后一部分介绍了对两种力学形式不同的哲学诠释，薛定谔对Ψ函数的诠释、波函数的统计解释和测不准原理，以及由此引起的量子力学的大讨论。

First, the finite difference was used to solve numerically the coupled Navier-Stokes equation and the convective-diffusion equation for surfactant in a orthogonal body-fitted coordinate system. The effect of surfactant on the flow field inside and around the deformed drop was successfully simulated.

本文在正交贴体坐标系下采用有限差分方法，对不可压缩流体的Navier-Stokes方程和表面活性剂的对流—扩散方程耦合求解，从而首先模拟了表面活性剂对单液滴运动的影响。

According to the plane cross section assumption, configuration of a rod is expressed as a history of the cross section with arc coordinate. A special solution which stands for equilibrium in straight line state is obtained from differential equilibrium equation. Linear perturbation equation is derived and its general solution is obtained in which the integral constants are determined by constrained conditions at two ends of the rod. The condition of existence of non zero solution of the integral constants gives to the Greenhill formula of exact elastic rod model, which shows that the boundary of stable area is a closed curve and of symmetry, and inference of shearable and extensible to stability of the rod is depend on three factors: difference between flexibility of shear and extension of a section of the rod, bending stiffness and the length of the rod.

基于平面截面假定，弹性杆的位形表达为截面的弧坐标历程，根据平衡微分方程得到了两端受力螺旋作用时的直线平衡特解，导出了线性化扰动方程及其通解，积分常数根据两端铰支时的边界条件确定，并根据其存在非零解的条件得到弹性直杆精确模型的Greenhill公式，表明稳定域为一对称的封闭区域，拉/压和剪切对稳定性的影响取决于：拉/压柔度与剪切柔度之差，抗弯刚度和杆长这三个因素

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。