The Exact Solutions To A kind of Differential Equations with Periodic Coefficients 一类周期系数线性微分方程组的精确解
New Exact Solutions of Two Kinds of Nonlinear Partial Differential Equations 两类非线性偏微分方程的新的精确解
Exact differential forms and quantum mechanics equation 恰微分形式与量子力学方程
Explicit and exact solutions of nonlinear orbital differential equation 非线性轨道微分方程的显式精确解
The method has been used to study the symmetry reduction and exact solutions of some nonlinear differential equations, the solutions here generally can't be obtained via the classical symmetry method or the conditional symmetry method. 该方法己成功地应用于寻求某些非线性偏微分方程的精确解和对称约化的研究中,这些解一般不能由古典对称方法或条件对称方法求得。
In [ 1], the exact analytic method for the solution of differential equation with variable coefficients was suggested and an analytic expression of solution was given by initial parameter algorithm. 文[1]提出精确解析法,用以求解任意变系数常微分方程,并利用初参数算法给出一个解的解析表达式。
In Chapter 4, we disuss exact linearization which develops from differential geometry and we recognize that the method can conserve much nonlinear information. 在第四章中,我们使用根据微分几何为工具发展而来的精确线性化方法进行了讨论,这种方法在其过程中尽量保持了一切非线性信息。
In order to avoid finding the exact solution of linear differential equations with variable coefficients, the standard Newton method is modified. 为避免寻找变系数线性微分方程的精确解,文中对原标准牛顿法作了修改。
The exact solutions of a set of non-linear differential equations with limiting conditions describing the anharmonic vibration of a one-dimensional lattice have been obtained. 本文列出了一维点阵非谐振动的非线性微分方程组,并求出了这组方程在相应边值条件下的解析解。
This paper presents an approximate computation method of optimal control for distributed parameter systems ( DPSs), based on the exact and explicit representations of differential operators in the bases of compactly supported orthogonal wavelets. 基于微分算子在紧支撑正交小波基下的精确显式表示,给出了一种分布参数系统最优控制的逼近计算方法。
Although the nonlinear excitation controller based on Exact Feedback Linearization of differential geometry takes on better traits than the linear control method in the aspect of improving the large disturbances stability, the model is still based on the fixed structure and parameters without considering the uncertainties. 而根据微分几何反馈线性化方法设计的非线性励磁控制器,虽然在改进大干扰稳定方面比线性控制方法优越,但其建模仍然是基于固定的结构和参数而未考虑不确定性。
A High Convergent Precision Exact Analytic Method for Differential Equation with Variable Coefficients 一个高精度收敛的变系数微分方程精确解析法
In this method, the exact dynamic stiffness matrices are generated by using exact shape functions which satisfy the control differential equation, and then the corresponding transcendental eigenvalue problem is solved exactly. 该法采用控制微分方程的解作为形函数,建立精确的动力刚度矩阵,并对其形成的非线性矩阵特征值问题进行精确求解。
The general exact elements are constructed by ordinary differential equation solversCOLSYS; 主要有:借助于常微分方程求解器COLSYS构造了一般性精确索单元;
An Algebraic Method to Obtain Exact Traveling Solutions of Nonlinear Differential Equations 求解非线性微分方程精确行波解的代数法
In this paper, a approximate exact differential penalty function for optimization with inequality constraint is introduced and its properties are studied. As a result, two new penalty methods are proposed and the global convergence of the two methods is obtained. 为不等式约束最优化问题提出一个连续可微近似罚函数并研究它的性质.在此基础上,提出了两个罚函数方法并证明这两个方法是全局收敛的。
Based on an exact solution of nonlinear coupled wave differential equations for photorefractive media, a conservative quantity which plays an important role in the process of deriving the exact solution is discussed. 以光折变介质中非线性耦合波微分方程的一种精确解为基础,对在推导这种精确解过程中起重要作用的一个守恒量进行讨论。
Starting from the exact differential equations of the circular cylindrical thin shells set by W · Flugge, this paper makes a study of the characteristic equation of the open circular cylindrical thin shells deduced by F · Dischinger. 本文直接从弗留盖(W.Flügge)建立的圆柱形薄壳的位移的精确微分方程出发,分析研究了由迪辛盖尔(F.Dischinger)导出的开口圆柱形薄壳的特征方程。
Exact solution's property of multi pantograph delay differential equation 多比例延迟微分方程精确解的性质
Exact feedback linearization theory of differential geometry is applied to the design of linear multi-variable excitation controller for the single-machine infinite system. The design method provided is very simple. 针对单机无穷大系统运用微分几何精确反馈线性化理论进行线性多变量励磁控制器的设计,设计方法简单。
Exact Analytic Method for Solving Variable Coefficient Differential Equation 任意变系数微分方程的精确解析法一类非线性演化方程的精确解析解
A new hyperbolic functions method for finding exact solutions of nonlinear partial differential equations 寻找非线性演化方程精确解的新的双曲函数法
The construction of exact solutions of nonlinear partial differential equations is a significant problem in studying of differential equations and computer algebra. 通过构造性方法去求出非线性偏微分方程的精确解是微分方程和计机代数学研究的核心内容。
Firstly, the dynamical systems theory are used to finding exact solutions of nonlinear par-tial differential equations. 首先,利用动力系统分支理论方法寻找非线性微分方程的精确解,获得了一系列新的结果。
But the exact solution of elliptic partial differential equation only can be obtained in some especial conditions, therefore for some general elliptic partial differential equations, using numerical methods to solve is a kind of more effective method. 但是椭圆型方程的精确解只在一些特殊情况下才能得到,故而对于一般的椭圆型方程,用数值方法求解是一种更为有效的手段。
As everyone knows, the structure of exact solutions of partial differential equations is an important part of differential equations research. 众所周知,偏微分方程精确解的构造是微分方程研究的重要组成部分。
Seeking exact solutions for partial differential equations has long been a major concert of both mathematicians and physicists. 寻求非线性偏微分方程的精确解一直是数学和物理学的重要内容。