These partial differential equations are all nonlinear harmonic equations.

这两个偏微分方程都是非线性调和方程。

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。

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。

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。

Many of these models can be described properly by nonlinear partial differential equations.

其中很多模型可以用非线性偏微分方程来很好地描述。

Meanwhile, partial differential equations are usd for modeling dynamic behavior of diaphragm.

对于弹性膜片的动态行为，可采用偏微分方程建立其动态行为模型。

Classical mathematical equations is the large number of second-order linear partial differential equations.

经典的数理方程大量的是二阶线性偏微分方程。

In mathematical analysis, an integral transform useful in solving certain types of partial differential equations.

数学分析中的一种积分变换，可用来解决特定类型的偏微分方程序。

The underlying method is based on the simple wave solutions of a system of hyperbolic partial differential equations.

基本的方法是以双曲型偏微分方程组的简单波解为根据的。

The forced oscillations of boundary value problems of a class of functional partial differential equations are studied.

通过研究一类高阶泛函偏微分方程边值问题的强迫振动性，建立了边值问题解的振动的充分条件。

The domain decomposition is a numerically approximating solution to partial differential equations on parallel computers.

区域分解算法是在并行机上求解偏微分方程数值解的一种方法。

This model consists the hyperbolic partial differential equations, boundary conditions and cyclical conditions of the system.

该模型由描述系统振动的双曲型偏微分方程组及相应的边界条件和周期性条件组成。

In this paper we prepare to consider several problems of the partial differential equations by the methods of harmonic analysis.

本文主要是要利用调和分析的方法讨论偏微分方程中的若干问题。

The mathematical model can be described as a coupled system of nonlinear partial differential equations with moving boundary values.

其数学模型是一组多层对流扩散耦合系统的动边值问题。

After partial differential equations was changed into cubic algebraic equation, accurate solution of the structure was able to be obtained.

将偏微分控制方程化为三次代数方程，获得结构内力的精确解。

Sufficient conditions are established for the oscillation of systems of second order partial differential equations with functional arguments.

建立了具泛函变元的拟线性偏微分系统解振动的充分条件。

In this paper we study the forced oscillations of boundary value problems of a class of higher order functional partial differential equations.

本文研究一类高阶泛函偏微分方程边值问题的强迫振动性。

The adaptive finite element methods are very effective for solving partial differential equations in scientific researches and engineering designs.

自适应有限元方法是科学研究和工程设计领域中非常有效的一种求解偏微分方程的数值计算方法。

The research on the existence and uniqueness of solutions of nonlinear partial differential equations is one of main branches of nonlinear dynamics.

非线性方程解的存在性和唯一性问题的研究是非线性动力学的主要研究内容之一。

With the ordinary theory of Heat Exchange in physics this essay visualizes the essence of second-order homogenous linear partial differential equations.

本文利用物理学中常见的热传导理论，形象地阐释了二阶齐次线性偏微分方程的本质。

The method of weighted residuals is a mathematic procedure with which approximate solutions can be obtained directly from partial differential equations.

加权残值法是一种可以直接从偏微分方程中求得近似解的数学方法。

In particular, the course focuses on physically-arising partial differential equations, with emphasis on the fundamental ideas underlying various methods.

值得一提的是，该课程在著重于物理相关的偏微分方程，同时也注意各种方法背后所隐含的基本概念。

It is well-known that fractional integral operator is one of the important operators in harmonic analysis with background of partial differential equations.

众所周知，分数次积分算子是调和分析中以偏微分方程为背景的一种重要算子。

The unsteady partial differential equations for expectation and correlation distributions of the stochastic temperature distribution in a solid are obtained.

给出了在固体中随机温度分布的期望和相关性的一个不稳定的偏微分方程模型。

In this paper, some sufficient conditions are obtained for the oscillation solutions of systems with high order partial differential equations of neutral type.

本文获得了一类中立型偏微分方程系统解振动的若干充分条件。

The governing partial differential equations were discretized by finite volumes and the nonlinear algebraic equations were solved by a block implicit algorithm.

用有限体积法离散控制方程，用块隐式法求解离散后的代数方程组。

Telegraph equations, can be looked as cascade connection of two-port network of lumped circuit of transmission line, is a hyperbolic partial differential equations.

传输线可以看作集中参数二端口网络的级联，其数学模型—电报方程是一阶双曲型偏微分方程组。