抛物型微分方程

In this paper we will study the uniqueness of weak solutions of the first boundary value problem for a degenerate parabolic equation.

本文研究了一类具有退化性的抛物型偏微分方程的第一边值问题的弱解的唯一性。

Thirdly, on the base of the existent error estimate of elliptical Galerkin projection operator, obtain semi-discrete and complete-discrete error estimates betwent EFG solution and exact solution of parabolic partial differential equation. Semi-discrete error estimate show that the rank of r is accordance with the approximation rank of subspace S_h. Complete-discrete error estimates show that it not only have relation with radius r of domain of influence, but also have relation with the step length of time variable and the way of discrete.Lastly, give typical examples and draw up procedures of MATLAB.

再次，在"椭圆Galerkin投影"算子的误差估计的基础上，对用EFG法解抛物型偏微分方程的EFG解与精确解之间作了半离散和全离散的误差估计，半离散的误差估计表明所给出的误差界限关于r的阶是与子空间S_h的逼近阶相一致的，全离散的误差估计表明所产生的误差不但与影响域半径r有关，而且与离散时间变量的步长τ及其离散方式有关。

Some sufficient conditions for the forced oscillation of solutions of the equations are obtained using the Robin eigenfunction and the impulsive delay differential inequalities.

考虑一类具强迫项的满足Robin边值条件的脉冲时滞抛物型方程，利用Robin特征函数和脉冲时滞微分不等式获得了这类方程解强迫振动的若干充分条件。

The partial differential equations with singular coefficients are very important ones in the field of numerical mathematics.

摘要具有奇异系数的椭圆及抛物型偏微分方程是一类很重要的方程，早在二十世纪六十年代左右，许多的计算数学工作者就开始研究此类方程的数值方法及相应的数学理论。

The models of American option and perpetual American option are a free boundary problem of parabolic partial differential equation and ordinary differential equation respectively.

在相应的基本假设下，美式期权的定价模型是一个抛物型偏微分方程自由边界问题，而永久美式期权的定价模型是一个常微分方程自由边界问题。

The parabolic partial differential equation is an important type of mathematical physical equations. It can describe the problems of heat conduction, seepage flow and diffusion, et al.

抛物型偏微分方程是描述热传导、渗流、扩散等过程的一类重要的数学物理方程。

Secondly, point out that meshless method is different from finite element method in handling boundary condition and numerical integral because the approximation function of meshless method is not inserted function, it have itself special methods. Deduces meshless Galerkin essential equation of parabolic partial differential equation with the method ofweighted residuals------Galerkin. Furthermore, discusses the main factors which may effectthe calculation precision and give some suggestion with which can get the best result.

其次，由于无网格法的近似函数不是插值函数，所以无网格Galerkin法在处理边界条件和对区域积分时是不同于有限元的，它有其独特的处理方法，从加权残量法——Galerkin出发，推导出抛物型偏微分方程无网格Galerkin法的基本方程，并对影响无网格Galerkin法的主要因素进行探讨，给出了取得最佳效果的相应建议。

This article bases on the knowledge of ordinary differential equation, mathematical and physical equations and equation of reactive pervasion. It researches the blow-up critical exponents of heat conduction type which is parabolic equations with nonlinear boundary constraints.

本篇论文以常微分方程与数学物理方程，反应扩散方程的知识为理论基础，讨论了热传导问题的临界指数问题，该问题是一个带齐次边界条件的非线性抛物型问题。

Stratum hurting ; parabolic partial different equation ; difference equation

地层伤害；抛物型偏微分方程；差分方程

In this paper , we consider the Expanded Mixed Finite Element Method and mixed covolume method for the quasilinear parabolic integro-differential equation and quasilinear parabolic problem.

本文中我们采用扩展混合有限元方法和混合体积元方法数值模拟了二阶拟线性抛物型积分微分方程和二阶拟线性抛物问题。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。