磁控管的温度分布是二阶非线性偏微分方程。
The governing equation of the temperature field of pulse - magnetron is a nonlinear second order partial differential equation .
其中很多模型可以用非线性偏微分方程来很好地描述。
Many of these models can be described properly by 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 result obtained can be used solve other nonlinear partial differential equations.
第一章中我们简述了一些研究非线性偏微分方程精确解的方法。
In the chapter 1, we introduce some methods to study the exact solution of nonlinear partial differential equations.
高维守恒律方程的研究是非线性偏微分方程的最具有挑战性的方向之一。
The research on multi-dimensional conservation laws is one of the most challenging direction in the field of nonlinear partial differential equation, it is very important and very difficult.
自然科学和工程技术中的许多问题都可归结为对非线性偏微分方程的研究。
Many problems in the field of science and engineering can be attributed to study of the nonlinear partial differential equations.
盆地模拟的数学模型是一组关于地层超压和古温度的非线性偏微分方程初边值问题。
The models are characterised by an initial-boundary value problems of a system of nonlinear partial differential equations on the abnormal pressure and the paleotemperature of the formation.
本文用多层前向神经网络求解该非线性偏微分方程，从而逼近非线性系统的中心流形。
In this paper, multi-layer feedforward neural networks are used to solve the nonlinear partial differential equation, and approach the centre manifold of the nonlinear system.
将小波配置法与广义能量积分相结合，提出了一种求解非线性偏微分方程的高精度数值方法。
A high accuracy algorithm for numerical solution of nonlinear partial differential equation (PDE) is suggested combining wavelet collocation method with generalized energy integral.
物理、化学、生物、地质等领域的很多模型都可归结为线性或非线性偏微分方程的定解问题。
Many mathematical models in the fields of physics, chemistry, biology and geology can be boiled down to the fixed solution problem of linear or nonlinear partial differential equations (PDE.)
针对传统扩散模型中的边界模糊问题，提出一种基于非局部信息的非线性偏微分方程去噪模型。
A nonlinear partial differential equation model based on nonlocal information was proposed to remove noise and preserve the edges.
在非线性偏微分方程中，根据弱可压缩液体的假设，忽略二次梯度项，在试井较长时间内将产生误差。
According to the assumption of slightly compressible fluid, neglected the quadratic gradient term in nonlinear partial differential equation is usually lead to error.
认为局部隐式有限元法是一种绝对稳定的方法，且具有快速收敛的性质，是求解非线性偏微分方程的一种有效的数值算法。
Locally implicit finite element method is a satisfactory numerical method to solve non-linear partial differential equations for its unconditional stability and its high rate of convergence.
当介质的导热系数是温度的函数时，热传导方程是非线性偏微分方程，作者采用基尔霍夫变换把它变成拉普拉斯方程，于是可以找到原问题的近似解析解。
The nonlinear equation of heat conduction is transformed into a Laplace's equation by applying the Kirchhoff transformation, and an analytic approximate solution of the equation is derived.
由于非饱和流动的数学模型归结为非线性的偏微分方程，除了一些很特殊的情况外，很难得到解析解。
It is very difficult to get analytic solution except some very specific cases for the model owing to nonlinear partial differential equation.
利用柯西黎曼条件和偏微分方程理论，得到了一类非线性RH问题的求解方法，并通过实例表明该方法是可行的。
In this paper, we get a method to solve a non-linear RH problem by the Cauchy-Riemann conditions and the theories of partial differential equation.
本文证明了关于对称泛函临界点的一个定理并用以研究非线性椭园型偏微分方程的多重解。
In this paper we prove a theorem for the critical points of symmetric functionals through which we research the multiple solutions of nonlinear elliptic PDE.
锚泊线的运动方程是一组高非线性的偏微分方程组，求解困难。
The dynamic equation of motion chain is a group of high non-linear differential equations, the solution is difficulty.
由于决定方程组是超定的、线性的或非线性的偏微分方程组，完全求解它们非常困难。
Because the determining systems are a linear or nonlinear overdetermined PDEs, it is very hard to solve them completely.
在物理学中，物理参量随时间的演化往往是由非线性的偏微分方程支配的。
In physics, the physical parameter evolution along with the time is often controlled by the non-linear partial differential equation.
本文具体讨论了注水过程中由于固体颗粒侵入造成地层伤害的非线性抛物型偏微分方程反问题模型。
In this paper, an inverse problem of a nonlinear parabolic partial differential equation of formation damage caused by the solids invading during the course of injection is presented.
基于偏微分方程的图像非线性扩散滤波，关键是确定合适的扩散机制与参量。
The key of image nonlinear diffusion filtering based on PDE (Partial Differential Equations) is to determine the appropriate diffusion mechanism and parameters.
以铁路高桥墩为研究对象 ，导出了计轴力及内力素方向改变所致非线性项的高桥墩振动偏微分方程。
The nonlinear partial differential equations for the tall pier vibration of railway bridges are derived by taking the influence of geometric nonlinearity into consideration, i.
推导了喂料熔体流导率的计算公式，得出压力场的控制方程是一非线性椭圆偏微分方程。
The pressure equation for the liquid phase is obtained as which is a no-linear elliptic partial differential equation.
研究一类具有连续分布偏差变元的高阶非线性中立型时滞偏微分方程，获得了方程解振动的一些新的判定准则。
The oscillations for a class of nonlinear neutral delay partial differential equations with continuous distributed deviating arguments is discussed.
这两个偏微分方程都是非线性调和方程。
These partial differential equations are all nonlinear harmonic equations.
进而深入研究了经典的基于偏微分方程的后处理方法，包括方向扩散，自蛇模型等非线性扩散方程。
After that we studied several Post-processing models based on PDE of Anisotropic Diffusion, including Directional Diffusion and Self-Snake model.
本文在基于偏微分方程的图像去噪方面进行了以下的研究：就非线性扩散偏微分方程的解法，引入了跳点有限差分格式。
We made the following research in image denoising based on PDEs. On the solution of nonlinear partial differential equations, the check-board finite difference scheme is introduced.
研究一类具有连续分布偏差变元的高阶非线性中立型时滞偏微分方程，获得了方程解振动的一些新的判定准则。
We obtain sufficient conditions for the oscillation of all solutions of the nonlinear high order neutral functional differential equation with continuous deviating arguments.
研究一类具有连续分布偏差变元的高阶非线性中立型时滞偏微分方程，获得了方程解振动的一些新的判定准则。
We obtain sufficient conditions for the oscillation of all solutions of the nonlinear high order neutral functional differential equation with continuous deviating arguments.
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