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1·It is a partial differential equation satisfied by the electric field e.

这是一个，由电场e确定的偏微分方程。

2·Similar method may be applied in other types of partial differential equations.

类似的方法还可以用在其它类型的偏微分方程数值解中。

3·It is a new method to generate surfaces with partial differential equation (PDE).

用偏微分方程(PDE)构造曲面是一种新兴的曲面造型方法。

4·Partial differential equation is widely used in problems of science and engineering.

偏微分方程在科学和工程上有着广泛的应用。

5·The result obtained can be used solve other nonlinear partial differential equations.

这些结果说明，所用方法可用来求解一类非线性偏微分方程。

6·The use of Partial Differential Equations in image processing is a new research topic.

偏微分方程在图像处理中的应用是一个比较新的课题。

7·The partial differential equation is solved by Alternating Direction Implicit algorithm.

采用交替方向隐式算法求解偏微分方程。

8·At last, an application of this problem in partial differential equation is also discussed.

最后，给出了上述问题在偏微分方程方面的一个应用。

9·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。

10·And a partial differential equation is some relation between its partial derivatives. Let me see.

而一个偏微分方程就是，函数各个偏导之间的联系，看看。