线性偏微分方程

词组短语

partial linear differential equation · linear partial differential equation

与线性偏微分方程相关的网络例句 [注：此内容来源于网络，仅供参考]

Nonlinear elliptic partial different equations of second order is amain branch of nonlinear partial different equations.It has many ap-plications in mathematics,physics,science and technology,engineer-ing.

二阶非线性椭圆型偏微分方程是非线性偏微分方程的重要分支，它在数学、物理、科技和工程中有着广泛的应用。

I of course include the usual formulas for solutions of the usual linear PDE, but also devote large amounts of exposition to energy methods within Sobolev space, to the calculus of variations, to conservation laws, etc.

当然，这本书中包含通常的线性偏微分方程的解的通常的表达式，并且对在索伯列夫空间中的能量估计，变量的计算，守恒律等进行了阐述。

Nonlinear hyperbolic conservation law is one of the core problems in nonlinear PDEs, it has very important physics background.

非线性双曲型守恒律是非线性偏微分方程中的核心问题之一，它有很强的物理背景。

In this thesis, we express one dimension wave equation by arithmetic theory and prove D'Alembert Solution in the light of method on one stage linear partial differential equations.

本文从另一角度即算子的方法，将弦振动方程写成算子的形式，再根据一阶线性偏微分方程的求解方法，最终推导出D'Alembert公式。

The Fourier method and heuristic stability theory for the analysis of the computational stability criterion of the difference scheme of linear partial differential equation are also briefly introduced.

对分析线性偏微分方程差分格式计算稳定性判据的Fourier方法、启发性稳定性分析方法，也做了简要的介绍。

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.

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。

Therefore,it is necessary to research diffusion equation for suspended sediment because it describes the sediment move process in the water body.The equation is a various coefficients second-order linear partial differential equa-tion,such equation under complex boundary condition is very difficult to get its analytical solution,while its numerical solution relative analytical solution is more easier and has the obvious superiority:simple,the computation convenience.but to get a kind of difference format which is good accuracy and stability is not easy.

泥沙扩散方程实际上是一个变系数的二阶线性偏微分方程，这样的方程在各种复杂边界条件下求解是十分困难的，求它的解析解在数学上存在着难以克服的障碍，无法求出其精确解，因此常用数值方法求它的近似解，相比较而言，数值方法有着明显的优势：即简单灵活、计算方便快捷，但要寻找一种精度高、稳定性好、计算方便的差分格式也并非易事。

Using PH linearization ,the nonlinear partial differential equation was transformed into linear partial differential equation,and then,by introducing a complex function,it was further transformed into a set of two linear differential equations.

应用 PH线性化方法，将非线性偏微分方程转化为线性偏微分方程，引入复函数将复常数偏微分方程变为两个线性实常数微分方程组，并采用小参数迭代法进行求解，近似求得了螺旋槽内气体动压分布的解析解。

As an application of continuous wavelet transform,we discuss the relationsbetween some differemtial equaltions and the integral equations by using thecontinuous wavelet transform in 〓,vector function space andabstract function space respectively;prove that they are equivalent not only in theweak topology but also in the strong topology.

作为连续小波变换的应用，分别利用〓上的，多元函数空间上的，向量函数空间上的和抽象函数空间上的连续小波变换分别得到了某些线性微分方程，某些线性偏微分方程，某些向量线性微分方程和某些抽象函数的微分方程分别等价于其相应的积分方程，证明了它们不仅在弱收敛意义下而且在范数收敛意义下是等价的。

Second, based on the spherical vector wave function in uniaxial anisotropic medium, and the first, second, third and fourth spherical Bessel functions satisfy the same differential equation and recursive formula. The scattering fields in terms of spherical vector wave function from a uniaxial anisotropic spherical shell and an anisotropic uniaxial-coated conducting sphere by a plane wave are derived. The electromagnetic fields in uniaxial anisotropic medium and free space can be expressed in terms of spherical vector wave functions in uniaxial anisotropic media and isotropic medium.

二、在建立均匀各向异性单轴介质球矢量波函数理论的基础上，利用二阶线性偏微分方程的性质和第一、第二、第三和第四类球Bessel函数满足相同的微分方程和递推关系，我们分别研究了单轴介质球壳和单轴介质涂覆导体球对平面波的电磁散射特性，首先给出了各个区域的电磁场用球矢量波函数来表示的解析表达式，进而利用电磁场在边界上满足电磁场切向连续的边界条件和球谐函数的正交性，得出了各向异性单轴介质球结构中电磁场用球矢量波函数表示的系数所满足的矩阵方程。

与线性偏微分方程相关的网络解释 [注：此内容来源于网络，仅供参考]

quasi-linear hyperbolic equation：拟线性双曲[型]方程

拟线性偏微分方程|quasi-linear partial differential equation | 拟线性双曲[型]方程|quasi-linear hyperbolic equation | 拟线性双曲[型]方程组|system of quasi-linear hyperbolic equations

linear partial differential equation with constant coefficients：常系数线性偏微分方程

常微分方程数值解|numerical solution of ordinary differential equations | 常系数线性偏微分方程|linear partial differential equation with constant coefficients | 常项|constant

partial linear differential equation：线性偏微分方程

偏差分;偏增量 partial increment | 线性偏微分方程 partial linear differential equation | 部分映射 partial mapping

Linear Second Order PDE：二阶线性偏微分方程

现代微分几何Modern Differential Geometry | 二阶线性偏微分方程Linear Second Order PDE | 有限群Theory of finite groups

linear partial correlation：线性偏相关

linear parametric amplifier 线性参数放大器 | linear partial correlation 线性偏相关 | linear partial differential equation 线性偏微分方程

linear partial differential equation：线性偏微分方程

linear partial correlation 线性偏相关 | linear partial differential equation 线性偏微分方程 | linear parting 线状裂隙

linear partial differential operator：线性偏微分算子

linear partial differential equation 线性偏微分方程 | linear partial differential operator 线性偏微分算子 | linear partition isotherm 线性分配等温线

linear partial differential equation with variable coefficients：变系数线性偏微分方程

变量分离方程|equation of separated variable... | 变系数线性偏微分方程|linear partial differential equation with variable coefficients | 变形第二类贝塞尔函数|modified Bessel function of the second ki...

Linear Second Order Partial Differential Equation：二阶线性偏微分方程

多媒体计算机技术 Multimedia Computer Technology | 二阶线性偏微分方程 Linear Second Order Partial Differential Equation | 发电厂热力过程仿真技术 Simulating Technology for Process of Power Plants

equation of separated variables：变量分离方程

变量变换|change of variable | 变量分离方程|equation of separated variables | 变系数线性偏微分方程|linear partial differential equation with variable coefficients