一阶拟线性偏微分方程。
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 .
经典的数理方程大量的是二阶线性偏微分方程。
Classical mathematical equations is the large number of second-order linear 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。
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.
本文提出了用沃尔什级数求解高阶线性偏微分方程的一种新方法。
This paper proposes a new method of solving the high order linear partial differential equation by means of Walsh Series.
本文主要用首次积分法构造一阶拟线性偏微分方程始值问题的解。
The fist integration is mainly used tO form the initial value solution of fist order quasi-linear partial differential equation.
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.
根据一阶拟线性偏微分方程组的特征理论，讨论内弹道两相流方程组的类型。
Following the theory on characteristics of first order quasi-linear partial differential equations, classification of the balance equations for two-phase flow in interior ballistics is discussed.
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。
With the ordinary theory of Heat Exchange in physics this essay visualizes the essence of second-order homogenous linear partial differential equations.
本文首先给出了一类具有无穷多个周期解的无阻尼二阶线性偏微分方程所描述的系统。
This paper is devoted to study the existence of an infinitude of periodic solutions for a class of second order linear PDE systems without damping.
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.
多段法渗碳的数学模型是线性偏微分方程。线性偏微分方程的一个重要性质是可迭加性。
The mathematical model of multi stage carburizing is a linear partial differential equation, and superposability is an important property of the linear partial differential equation.
本文讨论了一交通模型的一阶拟线性偏微分方程激波产生唯一性的条件并给了严格的证明。
A condition of a one-order quasilinear partial differential equation of a traffic model forming unique shock wave is given end proved.
对一阶拟线性偏微分方程与其特征方程组的关系，文中给出了简洁的逻辑分析和推导方法。
The paper has used concise methods of logical analysis and reasoning to describe the relation between the first-order quasilinear partial differential equation and its system of characteristic...
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.
本文证明了求解周期区域上的二阶线性偏微分方程的一致有效渐近解的正交条件是充分和必要的。
In this paper, We prove that the orthogonal condition to solve the uniform asymptotic solution of second order linear P. D. E in periodic region is the necessary and sufficient condition.
运用线性偏微分方程的可迭加性质所求得的碳浓度分布函数能够描述多段法渗碳过程的物理本质。
The carbon concentration distribution function derived from partial linear differential equation by applying the feasibility of repeat adding can describe the innate character of multi stage ca...
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.
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.
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.
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.
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