查询词典 nonlinear equation

Key words: partial differential equation; Lewy equation; real analytical; infinitely differential solution; compactly supported set

引用格 式：吴小庆。Lewy方程的无穷可微解。中国科技论文在线精品论文，2010，3(1)：19～27。

For the radiation transfer equation, both the spatial domain and the angular domain is discretized, and the finite volume method is used to solve the equation in an explicit way.

把一种新的三维热辐射计算方法应用到高超声速非平衡流场的数值模拟过程中：在非结构网格上对高超声速化学非平衡流场的数值模拟过程中，耦合了辐射输运方程来求解辐射热流。

Solving antiplane response of triangular hill or structure to incident SH waves by using the idea of assistant functions and division, the standing-wave equation constructed in domain Ⅰ must satisfy the governing equation and the zero-stress condition on the wedges.

利用分区和辅助函数思想求解三角形凸起对SH波散射问题时，在区域Ⅰ中构造的驻波，它应该同时满足三角形斜边上应力自由和控制方程，只有这样，所得到的结果才能是正确的。

To resolve thismodel,one approximate liner first derivative equation is used.An simple caculatemodel is setted up for caculating the motive adjust,and a mathematical equation incaculating the range of pressure motion in the system.Experiment data showe thatthese models have high accurecy.

在此基础上，对分析模型采用一阶微分近似线性化处理，建立了计算动态调节过程的简化计算模型，并以此建立了计算系统压力动态变幅的计算式，试验表明简化模型具有较高的精度。

And the numerical solutions of difference equation are regarded as the approximate solutions for the differential equation.

文中首先对对称正则长波方程提出了一个两层和两个三层的有限差分格式。

The main idea of the finite difference method is as follows: We consider the discrete difference equation with the finite alphas as approximate substitution for the differential equation with the continuous variant and boundary conditions.

有限差分方法的基本思想是用离散的，只含有有限个未知数的差分方程去近似代替连续变量的微分方程及边界条件，并把相应的差分方程解作为微分方程的近似解。

Because of appearing empty aggregates in the time zone (the time zone do not include the information), we only establish the indeterminate grey differential equation according to the approximate condition of the differential equation.

利用灰色微分方程中的最小二乘估计参数：进而得到灰色神经网络初始的权值及阈值，这样使初始的权值和阈值更接近准确值，克服了以往BP网络中初始权值的随机性和不确定性，减少了网络的训练次数，提高了网络收敛速度和输出的精度，为避免网络训练陷入局部极小值也起到了重要的作用。

The basic concept in these sections is replacing backward Euler's method by modified backward Eulers's method to approximate the characteristic differential equation and discretizing the convection-diffusion equation at the middle point of the approximate characteristic curve, which will make the convective term get up to second order accuracy.

这三节的基本离散方法是用改进的Euler公式代替向后Euler公式来近似特征微分方程，并且将近似特征线的中点作为离散节点，使得对流项的离散精度提高到二阶，对于扩散项，将其转移到待求时间层进行离散。

The basic idea is to set a continuous solution of the region with a finite number of discrete points instead of a grid consisting of, these discrete points called grid nodes the solution of a continuous area on a given function of continuous variables used in the definition of discrete grid variable function approximation the original equation and boundary conditions in the micro-business operators to approximate differential, integral with the points and to approximate, so the original differential equations and boundary conditions are replaced by algebraic equations near Side, that is, finite difference equations , solve this equation group can get the original problem in discrete points on the approximate solution.

基本思想是把连续的定解区域用有限个离散点构成的网格来代替，这些离散点称作网格的节点；把连续定解区域上的连续变量的函数用在网格上定义的离散变量函数来近似；把原方程和定解条件中的微商用差商来近似，积分用积分和来近似，于是原微分方程和定解条件就近似地代之以代数方程组，即有限差分方程组，解此方程组就可以得到原问题在离散点上的近似解。

Homogeneous linear equations consistent with the superposition principle, that is, if 1,2 is the equation, then 1 hEh2 also equation, where is an arbitrary constant.

齐次线性方程的解符合叠加原理，即若1，2是方程的解，则1＋hEh2也是方程的解，其中，为任意常数。

It is suggested that TDS can be used as a new method for the analysis of pedogenesis and climatic change.

总之，热处理过程中磁化率的变化能非常灵敏地反映磁性矿物的转化情况，而且，这种转化往往与样品所经历的土壤化作用强度密切相关，因此，TDS可做为分析成土作用强度和古气候变化的一种新方法。

Therefore, in this chapter, I will research into the conflict and contradiction of the paternity. Also, in this novel, the father's behavior of "He who loves well chastises well." is quite suspicious, one of the reasons is that the father thought his son belonged to him. And then, this thesis quoted Lacan's theory to touch upon that someone who has accepted the concept of patriarchal society, he will be influenced for his whole life. That also reveals that human being has no choice sometimes in this society.

因此本章会先就父子关系的冲突与矛盾做深入的探讨，小说中的父亲似有对儿子爱之深责之切的行为，其原因可能在於父亲将儿子视为所有物所致；其次，论文将引用拉冈相关理论，讨论在父权社会中，不论身分为何，只要是已受父权社会观念根深蒂固影响的人物，终生都将受其所苦，此也揭示出人生存於社会上的无奈。