查询词典 difference differential equation

The numerical solution of this kind of partial differential equation by the Boundary Element Method has been unable to be considered for the reason that the basic solution of this equation set has not been found.

由于至今尚未求得此方程组的基本解而无法考虑用边界元法对该种气体流动进行数值求解。

The standard parabolic equation method was obtained by the decompocition of the scalar wave equation and the expansion of the pseudo-differential operator.

通过对传统波动方程的分解和伪微分算子的近似展开，获得了标准抛物线方程。

In this paper, according toinfinitesimal criterion in symmetry theorem, using differential Wu-method(char-set byMathematica software) and conditions of symmeties of equation u_=Hu_,we givenew potential symmetries for nonlinear telegraph equation u_=F

本文根据对称理论中的无穷小准则，利用微分形式的吴方法(借助于Mathernatica软件编写的求解微分特征列集的程序包)和u_=Hu_型方程对称的存在条件，得到了非线性电报方程u_=F

Adding boundary conditions in whole equations in the wavelet Galerkin method frequently does with its of differential equations. The result can derive by solving transcendental equation, which make unknow quantity number and the number of system of equation become nonuniformity.

经常采用的小波Galerkin方法对微分方程边界条件的处理，均是将边界条件作为附加方程补充到整体方程中，从而求解超越方程组得到原方程的解，这导致了求解过程出现的方程组个数与未知量个数不一致。

It is equivalent to solve differential equation for under water explosion. The modes of velocity potential function and movable boundary are chosen, then, a variational equation system is derived by REDUCE procedure on computer.

在此基础上，选取了流场及运动边界的模态，将泛函对选定的自变函数变分，并取驻值；用REDUCE语言由计算机推出变分方程组。

In this paper, a moving-boundary problem occurring under the acidifying was discussed, which was transformed into a coupled problem of an initial-boundary value problem of nonlinear parabolic equation and an initial value problem of differential equation.

建立了油气层酸化过程中的动边界模型，经Landau变换后，将所求问题转化为定边界上的非线性抛物型方程初边值问题和常微方程的初值问题的耦合问题，并给出了耦合问题的全离散格式。

Curvature is the result of geometric structure in image; a new third order partial differential equation is proposed which transports curvature information along isophotes. The third order POE is morphologically invariant. Helmholtz vorticity equation which annihilates vorticity and third order POE which forward transports curvature information are coupled to be a new model.

曲率是图像几何特征作用的结果，本文提出沿等照度线方向传输曲率信息的三阶形态学不变偏微分方程，并将抑制涡量的无粘亥姆霍兹方程和正向传输曲率信息的三阶偏微分方程耦合。

We deduce the basic differential equation of light spreading in photonic crystal and the theory of one dimensional optical transfer matrix from the Maxwell's equation in chapter Ⅱ.

第二章从麦克斯韦方程出发，推导了光在光子晶体中传播的基本微分方程和一维光学传输矩阵理论。

Then we systematically study state transition probability of two-unit series system and paralleled system and stable availability of system, and drew the following conclusions:Firstly, we present the partial differential equation which satisfies state transition probability of the two-unit series system, and proves that state transition probability satisfy the equation, and are their minimal nonnegative solutions.

第一，对两个不同型部件、一个修理设备组成的串联系统，其寿命和修理时间的分布函数的各种情况，给出了状态转移概率所满足的偏微分方程组，证明了状态转移概率满足的方程，并且是这些方程的最小非负解。

Then we systematically study state transition probability of two-unit series system and paralleled system and stable availability of system, and drew the following conclusions:Firstly, we present the partial differential equation which satisfies state transition probability of the two-unit series system, and proves that state transition probability satisfy the equation, and are their minimal nonnegative solutions.

然后对两个不同型部件、一个修理设备组成的串联系统和并联系统的状态转移概率，以及系统的稳态可用度进行系统研究，得到了如下一些结果。第一，对两个不同型部件、一个修理设备组成的串联系统，其寿命和修理时间的分布函数的各种情况，给出了状态转移概率所满足的偏微分方程组，证明了状态转移概率满足的方程，并且是这些方程的最小非负解。

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。