Second, the free-boundary is handled by using combination of the zero-velocity method with the general ghost-image method and fourth-order difference format is used in free-boundary.
然后采用将零速度法和广义虚像法相结合的方法来处理自由边界，并在自由边界上采用四阶精度差分格式；
This impervious layer or boundary will retard the free diffusion of moisture. This condition is referred to as case hardening.
这一不透气的壳层(或边界层)会阻滞水分自由扩散，这种情形称为表面硬化。
It satisfies the differential equation, the boundary conditions of the edges and the free corner conditions.
它满足微分方程，自由边界的条件以及自由角点条件。
This paper gives a new analytical solution of the free vibration of an arbitrary-shaped plate with complex boundary conditions.
本文给出了复杂边界条件下任意形状板的自由振动分析的一个新的解析解法。
Flexural functions satisfy the differential equations of plate and all the boundary conditions as well as the conditions at free corner points.
挠曲函数满足板的微分方程和全部边界条件、角点条件。
An inverse problem of a free boundary problem which arised from the flow of non-Newtonian fluids is studied.
讨论了由非牛顿流体流动引起的一类自由边值问题的一个反问题。
In this program, free water surface condition and boundary condition on seabed and bank are satisfied by means of images.
对自由液面、水底平面和岸壁的各种组合边界条件，在程序中应用映射技巧处理。
An electrochemical machining problem is discussed and its regularity results of a free boundary is obtained.
主要讨论了一类电加工问题，得到其自由边界的有关正则性结果。
For scholars and engineers the bending of reinforced concrete plates, especially free boundary plates, on elastic foundation has long been a concerned problem.
弹性地基上钢筋混凝土板的弯曲，尤其是自由边板，一直是学者和工程师所十分关切的问题。
This method has advantages of small numerical dispersion, high simulation precision, and easy imposition of free boundary conditions.
这种模拟方法的主要优点是自由边界条件实现比较方便，数值频散小，模拟精度高。
This paper introduces the method of lattice dynamics in free boundary and presents some significant results obtained.
文章介绍了自由边界晶格动力学方法，并给出由该方法所得到的一些有意义的结果。
The vibrational modes and spectrum are very different if the free boundary condition is adopted, and the spectrum is divided into low, medium and high frequency branches.
若采用自由边界条件，则模花样和振动频谱完全不同，这时只能分为低频支、中频支和高频支。
When we study a free boundary problem, we always think to rewrite the problem in order to make the free boundary disappear.
在研究自由边界问题时，大家首先会很自然的想到，要改写模型，使自由边界在模型里消失。
The solutions of free and fixed boundary problems for a certain length are given.
并给出了在一定长度下，自由边界和固定边界问题的解。
Some engineering problems, especially those involving fluid free surface, are nonlinear in boundary conditions.
其中不少问题是非线性的，如带自由面的流动区域，边界条件即呈非线性。
The full transformation method is used in element-free Galerkin method for solving the elliptic boundary value problems.
采用完全变换法施加本质边界条件，给出求解椭圆型边值问题的无网格伽辽金方法。
The analysis show that the finite difference method based on the free boundary problem and the Laplace method based on the free boundary problem are two good numerical methods.
数值实验结果表明：基于自由边界问题的有限差分法和基于自由边界问题的拉普拉斯变换是两种良好的数值方法。
Stefan problem is free boundary condition of physical equation in thermal transfer when the boundary change.
斯蒂芬问题是研究边界变化时导热规律的的物理方程的自由边界条件。
In this paper we study a free boundary problem modelling the growth of an avascular tumor with drug application.
本文，我们研究了在药物作用下未血管化肿瘤生长的数学模型，该模型是一个偏微分方程的自由边界问题。
The deflection functions given satisfy the differential equation of thin plate, all the boundary conditions as well as the conditions at free corner points.
给出的挠度函数满足薄板的基本微分方程、全部边界条件以及角点条件。
The common program, which can calculate the lattice vibration for various crystals with NaCl structure type, has been made and it is applicable to cyclic or free boundary condition.
编制了氯化钠型结构各种晶体的晶格振动通用程序；它适用于循环或自由边界条件。
The authors consider a free boundary problem arised from the radical flow of plane Non Newtonian fluids with yield stress.
研究了具阀门梯度的平面径向流动引起的一类自由边值问题。
According to principle of bridge vibration, this paper lead through boundary condition of free beam and deduce vibrational equation of free beam to solve rigidity and model of vibration.
本文根据桥梁的振动原理，引入简支桥梁的边界条件，推导简支桥梁的振动方程，求解出桥梁刚度、振型的实际运用公式。
This paper discusses a class of free boundary value problem of ordinary differential equations occurred in problems of classical mixed and impulse optimum control in research fund management problems.
该文讨论由经典-脉冲混合控制最优策略中提出的一类常微分方程的自由边值问题，给出了该问题解的存在性定理。
An ideal boundary of individual personality is a free boundary which is opened and showed from benevolence.
个体人格的理想境界是从“仁”开显出来的自由境界。
In this paper rapid distortion theory is used to predict the effect of anisotropy on the structure of shear free boundary layer and axisymmetric straining turbulence.
本文运用湍流快速畸变理论对各向异性条件对无切变边界层及轴对称应变湍流特性的影响进行了探讨。
Based on the free boundary theory and the variational method, a fast and accurate model for the calculation of the fluid-film forces under the Renolds boundary condition is presented.
基于变分法提出了一个求解雷诺边界条件下有限长轴承油膜力的快速算法，用此算法对一个三油叶不平衡轴承—转子系统的非线性动力学行为进行了一系列的分析。
In Chapter 3 we study the global existence and uniqueness of the multidimensional free boundary problem which include three elliptic equations.
第三章是对具有三个椭圆方程组成的高维自由边界问题的整体解的存在唯一性的研究。
The method of extended ESO is improved in the aspect of design domain, which is extended from rectangle design domain to free boundary design domain.
将原来的改进进化论方法进行适当的拓展，即将原来的矩形设计域改变成自由边界设计域。
The method of extended ESO is improved in the aspect of design domain, which is extended from rectangle design domain to free boundary design domain.
将原来的改进进化论方法进行适当的拓展，即将原来的矩形设计域改变成自由边界设计域。
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