So, let's look at something called the diffusion equation.
来看看扩散方程。
So, the diffusion equation is something that governs, well, what's called diffusion.
扩散方程是，适用于扩散过程的。
I just wanted to remind you, just to clarify what happened at the end, we got the diffusion equation from two bits of information.
我仅仅是想让你们想起来，仅仅是想讲明上次课结束时说了什么，我们从两方面得到了扩散方程。
For the nonlinear convection-dominated diffusion equation, the method can stabilize the numerical oscillation, accelerate the convergence and improve the computational efficiency.
对于非线性对流占优扩散方程，不仅可以消除因对流占优项引起的数值振荡现象，更重要的是可以加快收敛速度、提高计算效率。
For the nonlinear convection-dominated diffusion equation, this method can not only stabilize the numerical oscillation but also accelerate the convergence and improve the computational efficiency.
对于非线性对流占优扩散方程，不仅可以消除因对流占优项引起的数值振荡现象，还可以加快收敛速度、提高计算效率。
An improved method based on anisotropic diffusion equation was proposed.
提出了一种基于各向异性扩散方程的改进方法。
Fractional nonlinear convection-diffusion equation with external forces is given.
建立了含有外力的分数阶非线性对流-扩散方程。
A nonlinear problem for reaction diffusion equation with a perturbed boundary is considered.
研究了具有摄动边界的非线性反应扩散方程的问题。
Numerical resolution of a non-linear diffusion equation was used to fit the experimental data.
浓度剖面的实验数据由非线性扩散方程的数值解进行拟合。
Partial differential diffusion equation is used to remove the noise of medical ultrasonic image.
研究了偏微分扩散方程在医学超声图像去噪中的应用。
A numerical method for the IBV problems of the nonlinear reaction-diffusion equation was described.
本文讨论了求非线性反应—扩散方程初边值问题数值解的一种方法。
The releasing characteristic of soil phosphorus can be exactly depicted by parabolic diffusion equation.
抛物线扩散公式能很好地拟和土壤磷素释放特征。
This paper deals with the periodic optimal control governed by a degenerate nonlinear diffusion equation.
研究由退化非线性扩散方程所支配系统的周期最优控制问题。
The solution of the diffusion equation can be used to simulate the evolution of some kinds of scarp slopes.
扩散方程可以用来模拟某些坡地演化形态。
Considering the rising speed in clouds changes with altitudes we obtained the solution for the diffusion equation.
在考虑了云中上升速度随高度变化的情况下求得了扩散方程的解。
For the slow diffusion equation with the source term, we also obtained the finite propagation property of solution.
此外，对于具有源项慢速扩散方程，得到了解的有限传播性质。
In this paper, the second initial and boundary value problem of a nonlinear singular diffusion equation is discussed.
讨论了非线性奇异扩散方程的第二初边值问题，证明了存在唯一的光滑解，且解关于初值是连续依赖的。
In the other code, the Nodal Green's Function Method was used to solve space-time dependent neutron diffusion equation.
在另一个程序中，用节块格林函数方法解时-空中子动力学方程。
IN this paper, a new method which is based on anisotropic diffusion equation for INSAR phase noise reduction is proposed.
该文提出了一种基于各向异性扩散偏微分方程抑制干涉合成孔径雷达(INSAR)相位噪声的算法。
An algorithm based on the anisotropic diffusion equation is presented to suppress the speckle noise of B-Scan ultrasound image.
提出了一种基于各向异性扩散方程的B超图像斑点噪声抑制的算法。
In the article, the fully discrete finite difference scheme for a special nonlinear reaction-diffusion equation is established.
对一类特殊的非线性反应扩散方程进行完全离散，得到非线性的有限差分格式。
The diffusion equation was discretized using a local one-dimensional finite difference equation and solved using the speedup method.
扩散方程采用隐式局部一维格式差分离散，利用追赶法求解；
Initial value as a problem of convection diffusion equation can be solved by applying fine integral of single inner point subdomains.
可用单内点子域精细积分，求解对流-扩散方程初值问题。
A class of singularly perturbed reaction diffusion equation initial boundary value problem with a curve of turning point is discussed.
讨论了一类具有转向点曲线的奇摄动反应扩散方程初始边值问题。
In this paper, the blow-up rate is determined for a nonlinear diffusion equation with nonlinear absorption and nonlinear boundary flux.
本文研究一类具有非线性吸收和非线性边界流的非线性扩散方程，建立了解的爆破速率估计。
First, the neutron diffusion equation is converted to three coupled one dimensional partial flux equation through transverse integration.
首先通过横向积分将中子扩散方程化为三个互相耦合的一维偏通量方程。
The integral N-S equation is regarded as a special diffusion equation and the pressure term, convective term are regarded as source terms.
将此N S方程看作一个特殊的扩散方程，将压力项与对流项看作是源项，得到一个积分方程。
The singular perturbation of the initial boundary-value problem for a kind weakly coupled reaction-diffusion equation system is discussed.
讨论了一类弱耦合反应扩散方程组的初边值问题的奇摄动。
It is one of the basic problems to study the heat conduction equation (the diffusion equation) using numerical method on unstructured grids.
在非结构化网格中，数值求解标量扩散方程(导热方程)是当今数值计算的基础问题。
It is one of the basic problems to study the heat conduction equation (the diffusion equation) using numerical method on unstructured grids.
在非结构化网格中，数值求解标量扩散方程(导热方程)是当今数值计算的基础问题。
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