查询词典 simultaneous differential equations

The governing equations of laminate-faced sandwich cylindrical shallow shells based on the first-order shear theory with large deflection are high-order partial differential equations. Four dependent functions are involved.

大挠度剪切理论下复合材料夹层圆柱扁壳的稳定性控制方程是一组非线性高阶常系数偏微分方程，其中包含四个独立的函数，它们分别为横向挠度w、参考曲面的法线转角Φx、Φy和应力函数F。

The existence of periodic solutions for a class of impulsive differential equations of mixed type is studied by constructing periodic sequence solutions of difference equations.

通过构造差分方程的周期序列解，研究了一类混合型脉冲微分方程周期解的存在性。

This article present an unification arithmetic for a kind of mixture equations made up of some differential and algebra equations.

提出了一种求解微分代数混合方程组的统一算法，证明了统一算法所求出的懈与原方程组的解具有等价性。

The finite volume method is used to transform the controlling differential equations into the algebra ones, and the semi-implicit method for pressure-linked equations is used to solve the pressure.

同时，采用有限体积法将控制微分方程离散为代数方程，采用SIMPLE方法求解压力。

In this paper,we mainly discuss inverse problems for ellipticpartial differential equations,and parameter inversion and free boundary problemin elliptic equations have been paid much attention to many scientists for a longtime.

我们主要讨论椭圆型偏微分方程中的反问题，而在椭圆型方程的反问题中参数反演及其自由边界问题一直受到人们的关注，本文主要从事这方面研究，全文分为两部分。

More importantly, difference equations also appear in the study of discretization methods for differential equations.

更重要地，在对微分方程的离散化方法的研究中也出现了差分方程。

Based on the Biot s two-phase theory for fluid-saturated porous media, considering the inertia force of the solid and the liquid, and the coupling function between the solid and the liquid, and the compressibility of the liquid in allusion to the character of the nearly saturated soils. The dynamic governing differential equations are solved by Hankel transform. Then, considering the boundary condition, the dual integral equations of vertical vibration are established which are reduced to Fredholm integral equation of the second kind.

本文基于Biot两相介质动力固结理论，针对准饱和土地基的特点，考虑了流体的可压缩性，土体和流体的惯性及水土之间的耦合作用，运用Hankel变换技术求解动力控制方程，然后按混合边值条件建立起对偶积分方程，并将其化为易于数值计算的第二类Fredholm积分方程，分别研究了准饱和土半空间地基、上覆单相弹性层的准饱和土地基和准饱和粘弹性地基上刚性基础的竖向振动特性。

The functional by variational calculus leads to a set of elliptic partial differential equations,in particular,Poisson equations,which is possibly solved by numerical methods.

利用变分法可以从这个二次误差指标函数导出一组椭圆形偏微分方程泊松方程，这类方程有相当成熟的数值解法。

In Chapter 6,by changing Gauss elimination method of solving linear algebraicequations in software package based on MPROWs and PEROWs into the elimination byband matrix and the elimination by varied bandwidth,we obtained the solver of ordinarydifferential equations,which is suited to solve the partial differential equations by themethod of lines.

在第六章，我们将基于MPROWs及PEROWs的软件包中求解线性方程组的通常的高斯消去法修改为带状矩阵消元法及变带宽消元法，从而获得适合于用线方法求解偏微分方程的常微分方程求解器。

In the relative coordinate method, the array of the generalized coordinates of the system is formed by the relative coordinates of all rigid bodies. The principle of virtual power and Newton-Euler equations are applied to the system, and arrive at a set of second order differential equations of the generalized coordinates.

在相对坐标法中，系统的广义坐标列阵由系统中各刚体的相对坐标组成，对系统应用牛顿-欧拉方程和虚功率原理，得到系统广义坐标的二阶微分方程组。

It has to be computed by the host for the actual clock rate.

主控制器可以用来计算实际的时钟速率。

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