二阶偏微分方程

二阶偏微分方程具互补边界条件的边值问题

On boundary value problems of the second order partial differential equation with complementary boundary conditions

二阶偏微分方程组的Riemann型衔接问题

On the connected problem of Riemann type for system of partial differential equations of the second order

本文用一般自伴椭圆二阶偏微分方程代替调和方程，给出Dirichlet法则的推广。

In this paper the author popularized the Dirichlet principle . The author used self-adjoint secondorder elliptic partial differential equation replacement harmonic equation .

Dynkin公式的推广以及某类二阶偏微分方程的概率解

An Extension of Dynkin Formula and Probabilistic Solutions of Some Second-order Partial Differential Equations

Kirchhoff板的振动控制系统在空间上是关于一个自变量的四阶偏微分方程，而Mindlin板的振动控制系统在空间上是一个关于三个未知变量的二阶偏微分方程组。

The control vibration system of Kirchhoff plate is a four-order partial differential equation about one independent variable in space , while that of Mindlin plate is a two-order system of partial differential equations about three independent variables in space .

一类具有无穷多个周期解的二阶偏微分方程

A class of second order PDE with infinite periodic solutions

通常情况下，描述热传导过程的方程是一个二阶偏微分方程。

Commonly , the equation presented heat transfer is a two order PDE .

本文使用求解二阶偏微分方程的方法，并对边界条件分情况讨论，得到温度场分布理论解，同时利用有限差分法得到温度场解析计算式。

The paper provided theory temperature solutions by solving second order partial differential equations and classifying boundary conditions into Z-Boundary and X-Y-Boundary .

通过引入位移函数，将位移型微分方程组变换为一个八阶偏微分方程和一个二阶偏微分方程。

By drawing displacement function , the displacement differential equations are transformed to one eighth-order differential equation and one second-order differential equation .

曲边界区域上二阶偏微分方程的基于区域分解和双二次等参有限元的分裂外推法

Splitting Extrapolation Method for Solving Second Order Partial Differential Equations with Curved Boundary by Using Domain Decomposition and Double-quadratic Isoparametric Finite Element

在圆柱状催化剂内的浓度分布的表征方程为二阶偏微分方程组。

The mathematical model describing the profiles of concentration in the cylindrical catalyst is the nonlinear partial differential equations of second order .

在数值模拟并行化过程中，使用基于界面修正以及移动界面的并行差分方法求解了二阶偏微分方程。

In the latter , the parallel difference schemes based on interface correction and moving interface are applied to solve partial differential equation of second order .

采用了泛函求极值法将二阶偏微分方程离散化，用有限元法进行了承载能力和刚度的数值求解。

Through the method of the two step partially differentiate equation discretization , namely the optimization of variation functionals and proceed the numerical value resolution of carrying capacity and rigidity with finite element method .

联解沙量连续方程和推移质输沙公式，得溯源冲刷的河床高程随时间和距离变化的二阶偏微分方程。

By solving the simultaneous equations of the continuity equation of sediment discharge and the bed load formula , a two-order partial differential equation for the change of bed-level in the process of headward erosion is obtained .

在离散化过程中，利用加权余量法将二阶偏微分方程降低一阶，放松了对插值函数连续度的要求，便于借助有限元技术分析狭缝节流气体静压轴承的流场参数。

The second-order partial differential equation , Reynolds equation , is reduced by one-order with the weighted residual method in the discretization procedure , which re - leases the requirement of continuity degree of the interpolation function while finite element method is adopted .

用快速自适应组合网格方法（FAC）求解二阶椭圆型偏微分方程

On the computational aspects of the fast adaptive composite grid method for solving second order elliptic equations

一类常系数二阶椭圆型偏微分方程组Dirichlet问题解唯一的充分必要条件

On the Necessary and Sufficient Conditions of the Uniqueness of the Solution of the Dirichlet Problem for a Class of Elliptic Partial Differential Systems of Second Order with Constant Coefficients

讨论一类具有连续分布滞量的二阶非线性偏微分方程在Robin，Dirichlet边界条件下解的振动性，利用Green定理及微积分技巧，获得该类方程解振动的充分条件。

It is discussed that the oscillation of a class of second order nonlinear partial differential equations with continuous distribution delay under Robin and Dirichlet boundary value conditions . The sufficient conditions for the oscillation of solutions of the equation are obtained by using Green 's theorem and calculus techniques .

关于一类重特征二阶线性偏微分方程的局部可解性

On the Local Solvability of LPDEs of Second Order with Double Characteristics

二阶椭圆型偏微分方程有限分析解法的精度研究

The Accuracy Research for the Finite Analytic Method of Ellipse-type Differential Equations

一类二阶椭圆型偏微分方程解的先验估计

One Prior Estimate for Solution of a Second-order Elliptic Partial Differential Equation

经典的数理方程大量的是二阶线性偏微分方程。

Classical mathematical equations is the large number of second-order linear partial differential equations .

可分解的三个未知函数二阶线性偏微分方程组

Decomposable Systems of Linear Partial Differential Equation of Second Order with Three Unknown Functions

最后，在第六章中求解二阶非线性偏微分方程。

Finally , second order nonlinear partial differential equations are solved in Chapter 6 .

方程为二阶非线性偏微分方程，通过对方程的离散化，应用有限差分方法求解。

With the application of difference method , the nonlinear second-order consolidation differential equation has been solved .

关于具非负特征形式的二阶线性偏微分方程的混合边值问题的极大值原理

Maximum principles for mixed boundary value problem for second order linear partial differential equation with nonnegative characteristic form

一类二阶线性偏微分方程的定解问题

A Class of Problem for Determining Solution of Second-order Linear Partial Differential Equations of the Solution of the Problem

某些不具紧性的二阶椭圆型偏微分方程

Some Semilinear Elliptic Equations without Compactness ; One Prior Estimate for Solution of a Second-order Elliptic Partial Differential Equation

磁控管的温度分布是二阶非线性偏微分方程。

The governing equation of the temperature field of pulse - magnetron is a nonlinear second order partial differential equation .

该文对二阶椭圆型偏微分方程在有限分析单元上，求离散分析解的方法进行了研究。

This paper studies the analytical solution method in discrete elements with finite analytic ( FA ) method for second order elliptic partial differential equations .