This paper presents a kind of finite volume element scheme for two-dimensional second order elliptic partial differential equations with Dirichlet boundary condition and we prove that the scheme has second order convergence accuracy with respect to discrete energy norm.
针对二维二阶椭圆型偏微分方程边值问题提出了一种新型的有限体积元格式,证明了该格式按离散能量模具有二阶收敛精度,具体算例表明,该格式计算效果良好。
This paper studies oscillation for the solutions of neutral higher order partial differential equation with continuous distributed deviating arguments.
研究了一类含有连续分布滞量的中立型高阶偏微分方程解的振动性,获得了该方程在两类边值条件下解振动的充分条件。
As the foundation of his first-order partial differential equation theory,Lagrange s definition plays an important role in his general integral theory.
从微观角度看,拉格朗日基于欧拉的定义,在用"常数变易法"探讨一阶偏微分方程积分的过程中受到启发,萌生了其积分"完全性"的新思想,并把这种新思想运用于常微分方程的研究,成功解释了奇解,在此基础上提出了一阶偏微分方程完全积分的新定义,因此拉格朗日完全积分的新定义是"常数变易法"和微分方程奇解现象共同诱发的产物。
Studies on Oscillation of the Solution of Second-order Differential Equations and Difference Equations;
二阶偏微分方程与差分方程解的振动性理论研究
A Class of Problem for Determining Solution of Second-order Linear Partial Differential Equations of the Solution of the Problem
一类二阶线性偏微分方程的定解问题
Some Second Order Elliptic Partial Differential Equations on Unbounded Domain;
某些无界区域上的二阶椭圆型偏微分方程
Some Semilinear Elliptic Equations without Compactness;
某些不具紧性的二阶椭圆型偏微分方程
Oscillation for Systems of Certain Second Order Partial Differential Equations;
一类二阶中立型偏微分方程系统的振动性
Oscillation Theorems for Systems of a Class of Second Order Partial Differential Equations;
一类二阶偏泛函微分方程组的振动性定理
One Prior Estimate for Solution of a Second-order Elliptic Partial Differential Equation
一类二阶椭圆型偏微分方程解的先验估计
Oscillation of Solutions to A Class of Second Order Neutral Damped Partial Differential Equations
二阶中立型阻尼偏微分方程解的振动准则
Periodic Solutions for a Class of Second Order Functional Differential Equations with a Deviating Argument
一类具有偏差变元的二阶泛函微分方程周期解
Periodic Solutions for a Kind of Second Order Differential Equations with a Deviating Argument
一类具偏差变元的二阶微分方程周期解
Oscillation of Solutions to Second Order Damped Time-Delay Partial Differential Equation Systems
二阶阻尼时滞偏微分方程组解的振动性
NEW ALGORITHM FOR A CLASS OF SECOND ORDER NONLINEAR PARTIAL DIFFERENTIAL EQUATION
求解一类二阶非线性偏微分方程的新算法
Oscillation of solutions to a class of second order damped time-delay partial differential equations
一类二阶阻尼时滞偏微分方程解的振动性
Oscillation of Certain Second Order Partial Functional Differential Equations with Continuous Distributed Deviating Arguments;
一类具连续偏差变元二阶偏泛函微分方程的振动性
The Global Behavior of Second Order Discrete Difference Scheme for a Partial Integro-differential Equation with a Weakly Singular Kernel;
一类带弱奇异核偏积分微分方程二阶差分离散格式的长时间估计
A Second Order Fully Discrete Difference Scheme for a Partial Integro-differential Equation with a Weakly Singular Kernel;
一类带弱奇异核偏积分微分方程二阶差分全离散格式
Stability of second order backward difference for a partial integro-differential equation with a weakly singular kernel
一类带弱奇异核的偏积分微分方程二阶向后差分格式的稳定性
Global Behavior of Second Order Spatially Semi-discrete Difference Scheme for a Partial Integro-differential Equation
一类偏积分微分方程二阶差分空间半离散格式的全局行为