2) parabolic partial differential equation
抛物型方程
1.
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。
2.
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 。
3.
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
3) parabolic equation
抛物型方程
1.
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
2.
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
3.
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
4) parabolic differential equation
抛物型方程
1.
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
5) parabolic equations
抛物型方程
1.
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
2.
Viscosity solutions for a class of parabolic equations;
一类抛物型方程的粘性解
3.
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。
6) parabolic type equation
抛物型方程
1.
This paper presents an explicit difference scheme with accuracy and branching stability for solving onedimensional parabolic type equation by the method of undetermined parameters and its truncation error is O(△t4+△x4).
用待定参数法构造了解一维抛物型方程的分支稳定的高精度显式差分格式 ,截断误差为O(△t4△x4) ,稳定性条件为r=α△t/△x2 <1 /2 。
补充资料：退化抛物型方程
退化抛物型方程
degenerate parabolic equation
退化抛物型方程【血留搜犯加声口加血闰皿垃翔;肠甲0岌-几e二oe naPa6o朋，ee切e yPa朋e一翻e】 偏微分方程 F(r，x，Du)=0，其中函数F(t，x，q)有下述性质:对于某个偶自然数P，对于所有实的亡，多项式 艺主生上丛卫业月一(i:、二 刁q:的所有的根又有非正实部，并且，对于某个着护O，t，x和Du，对于某个根又有Re又=0，或者对于某个t，x和加，最高次护/P的系数为零.这里t是自变量，它通常被解释为时间;x是n维向量(x，，…，x，):u(t，x)是未知函数;“是多重指标(“。，::，“‘，仪。);加是分量为 日l，I，， 刀区材=一:，二二气二-二，--一二尸- 一日r“，日x户‘…刁x矛·的向t，其中p“。+，各“‘(“，J“I一“。+“1+…+“。;q是分量为q二的向量;亡是n维向量(亡:，…，氛);(i幼“’=(i七1):’…(i七。)’‘.亦见退化偏微分方程(山generate part运1由晚砚t训闪业山n)及其参考文献.
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参考词条