查询词典 dimensional equation

This paper was concerned with a one-dimensional linear wave equation associated with nonlinear boundary conditions.

文章里证明了一类一维线性波动方程，在非线性边界条件下，存在唯一的局部解。

The auxiliary equation is directly applied to solve the (2+1)-dimensional dispersive long wave equations and the solitary wave solutions and triangular periodic wave solutions are obtained.

利用该辅助方程直接求解了(2+1)维色散长波方程，结果获得了一些孤立波解和周期解，其中包括一些新解。

This paper presents a fast algorithm based on the measured equation of invariance.Conformal meshes are made along the surface of two-dimensional scatterer.Renumbering of nodes changed the original sparse matrix into band one,and the consumption of computer memory and CPU time decrease from O(N2) to O.Via this new algorithm,electrically large problem can now be rapidly solved.

提要 本文基于不变性测试方程法提出一种快速算法，在二维散射体表面建立共形差分网格后，通过对节点的重新排序，将原问题中的稀疏矩阵变换为带状稀疏阵，从而使占用的计算机内存和计算时间均由O(N2)下降为O，可以解决原来无法计算的问题。

Moreover, the quasi-analytical expressions of the relative concentrations at the mobile region and the immobile region are deduced respectively by using Bessel equation, Bessel function and the method of Laplace transform under the initial concentration zero and the first or second boundary condition of a semi-infinite one-dimensional space.

并分别在初始浓度为零，半无限一维空间内第一类边界条件和第二类边界条件下，利用Bessel方程、Bessel函数和Laplace变换法推导出了可动区和不动区溶质相对浓度的准解析表达式。

Firstly, we discuss the boundary value problem of one dimensional biharmonic equation in an interval and its variational problem,multiresolution analysis in the Sobolev space , then solve it with wavelet-Galerkin methods.

首先本文讨论了一维双调和方程边值问题及其相应的变分问题，定义Sobolev空间的多分辨分析，用小波–伽辽金方法进行数值求解，两组基下得到的系数矩阵为七对角阵和块状对角阵。

Secondly, we discuss the boundary value problem of two dimensional biharmonic equation in a rectangular field and its variational problem,discretize it by using dual tensor product of and the direct product and lining up of matrices, we get some special matrices which are the presupposition in exploring the fast computation, then solve the system of linear equations.

其次本文讨论了矩形域上二维双调和方程边值问题及其相应的变分问题，利用二元张量积小波分析和矩阵的直积、拉直技巧将变分问题离散化，从而使求解偏微分方程问题变为求解线性方程组的问题。一维情况两组基的张量积下得到的系数矩阵分别为块状七对角阵和稀疏矩阵。这些特殊结构为以后快速算法的研究打下一个基础。

In this paper the magnetic distribution character of micro-electro-mechanical relay was analyzed by applying Biot-Savart law and integral equation method. The results of IEM and FEM show the method which used in analyzing three-dimensional stationary magnetic field for Micro-electro-mechanical relay is feasible.

文中应用毕奥-萨伐尔定律和积分方程法，分析了微机械电磁继电器磁场分布特性，计算结果与有限元法结果进行比较，表明所用方法对于微机械电磁继电器三维恒定磁场的分析是可行的。

In this paper,based on the fully consideration of the physical characteristics of wind and snow,a three-dimensional wind field is constructed by discretizing the classic Boltzmann equation.

在充分考虑风雪具体物理特性的基础上，通过对经典Boltzmann 方程进行离散来构造三维风场，并根据风雪的交互作用规律，建立起雪的飘动、沉积、侵蚀等变化规则，进一步采用一系列简化和加速绘制的方法，具有真实感地实时绘制出不同风速下不同降雪量的风雪场景。

Coupled with the three-dimensional transient heat conduction equation, a heat treatment furnace is simulated. The temperature of the gas in the enclosures and the steels vary with the time of calefaction.

将辐射传热模型与三维非稳态导热模型相耦合，对一个热处理炉简化模型内传热问题进行了计算，分析了炉内气体温度分布与钢锭温度随加热时间的变化情况，炉内气体温度和钢锭温度分布合理，计算结果可信。

In order to improve the performance of aerostatic bearing and enhance the reliability of system, the chief works of this paper represents as follows: First, on the foundation of development and present research situation of internal and external aerostatic bearings, this paper summarizes the principle of aerostatic bearing, according to several assumptions of work conditions, two-dimensional Reynolds equation of isotherm compressible fluid is deduced.

为改善气体轴承的性能，提高气浮轴承转子系统的安全性、可靠性，本文进行了如下研究工作：首先，本文在综述了国内、外气体静压轴承的发展历史和研究现状的基础上对气体静压轴承基本原理进行了概述，根据小孔节流静压气浮轴承的工作状况，作了若干假设，在此基础上导出了描述气膜压力场的二维可压缩Reynolds方程。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新