In this paper,the author studies the distribution of the solutions of the parabolic partial differential equations.
通过分部积分法、Cauchy不等式和Gronwall不等式来研究一类抛物型方程的解的分布情况,通过上述方法得出抛物型方程的能量模估计,最后由该能量模估计直接说明混合问题解的唯一性。
A kind of finite volume element scheme for one dimensional parabolic partial differential equation with initial and Dirichlet boundary condition is presented,and it is proved that the scheme has second order convergence accuracy with respect to discrete L 2 norm and discrete H 1 seminorm.
针对一维抛物型方程初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 L2模及离散 H1半模具有二阶收敛精度 。
An inverse problem for unknown source term in semilinear parabolic partial differential equation on bounded domain R n is considered in the following u t-Lu=φ(x,t)s(u)+γ(x,t), (x,t)∈Ω×(0,T), u(x,0)=u 0, x∈Ω, u n｜ Ω×(0,T) =g(x,t), u(x 0,t)=f(t), 0<t<T.
讨论了 Rn中有界域Ω上如下半线性抛物型方程未知源反问题ut- L u =φ(x,t) s(u) +γ(x,t) , (x,t)∈Ω× (0 ,T) ,u(x,0 ) =u0 , x∈Ω , u n| Ω× (0 ,T) =g(x,t) ,u(x0 ,t) =f (t) , 0
Identifying coefficient of the parabolic equation by using the optimization method;
利用优化方法确定抛物型方程的未知系数
On a class of the solution of parabolic equations with nonlocal boundary conditions;
关于非局部边界条件抛物型方程组的解
The well-posed problem of parabolic equations under second boundary condition;
第二边界条件下抛物型方程反问题解的适定性
A new alternating direction implicit difference method for three-dimensional parabolic differential equations with homogeneous boundary conditions;
三维齐次边界抛物型方程的新型交替方向差分格式
The stability analysis of difference schemes for the parabolic equations;
抛物型方程差分格式的稳定性分析
Viscosity solutions for a class of parabolic equations;
一类抛物型方程的粘性解
In this paper,the forced oscillation of solutions for a class of nonlinear impulsive delay parabolic equations was studied.
研究一类非线性脉冲时滞抛物型方程解的强迫振动性,借助Green定理将多维振动问题转化为关于某一类非齐次脉冲时滞微分不等式的一维问题,获得了这类方程在2类不同边值条件下解强迫振动的若干新的充分条件。
The Wavelet-Galerkin Method for Parabolic Equation;
抛物型方程的Wavelet-Galerkin方法
Space-Time Finite Element Method for the Semi-Linear Parabolic Equations;
半线性抛物型方程的时空有限元方法
The Inverse Problem of the Parabolic Equation;
用正则化方法求抛物型方程的数值解
The Linearization Difference Method for Solving Nonlinear Parabolic Differential Equations
非线性抛物型方程的线性化差分方法
Absolutely Stable Explicit Difference Scheme for Sloving Parabolic Equation of Higher Order
高阶抛物型方程恒稳的显式差分格式
A Stable and Fast Algorithm for Source Identification in Parabolic Equation;
抛物型方程源项识别的快速稳定算法
A Two-Level Explicit Finite Difference Scheme of High Accuracy for Solving Four Order Parabolic Equations;
解四阶抛物型方程高精度两层显格式
Optimal Error Estimation on Semi-discrete Solution of Parabolic Equation;
抛物型方程半离散解的最优误差估计
Blowing-up of the Solution to the Mixed Problems of Semi-linear Parabolic Equations;
半线性抛物型方程混合问题的爆破解
A family of high accuracy difference schemes for solving the parabolic equation;
解抛物型方程的一族高精度差分格式
BLOWUP OF A NONLINEAR DEGENERATE PARABOLIC EQUATION;
一类非线性退缩抛物型方程解的爆破
A High Order Parallel Difference Scheme of Parabolic Equation
抛物型方程的一种高阶并行差分格式
The Summary to the Controllability of Some Parabolic Systems
抛物型方程组能控性问题的研究综述
The Asymptotic Behavior of the Solution of a Fourth order Parabolic Equation
一类四阶抛物型方程的解的渐近行为
An ADI scheme for solving parabolic equation of three-dimension
解三维抛物型方程的一个ADI格式
The Problem on the Non-local Boundary Value about the Mixed Parabolic-Inverse Parabolic Equation with Characteristic
关于带特征混合型抛物-逆抛物型方程非局部边值问题
Alternating Direction Finite Volume Element Method for Parabolic Equation;
抛物型方程的交替方向有限体积元方法
parabolic variational inequation
抛物型变分不等方程