- 更多网络例句与扩散方程相关的网络例句 [注：此内容来源于网络，仅供参考]
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A numerical calculation program is written up for the various solution methods in this paper and the program is being used in various aspects of inverse problem of environmental hydraulics, including inverse problem in reverse process of one-dimensional unstable diffusion, inverse problem in reverse process of convection-diffusion, inverse problem for the dispersion coefficient in water quality model, The inverse problem of coefficient identification for nonlinear Boussinesq equation, parameter identification inverse problem for water quality model, the inversion of parameter of BOD-DO water model, the inverse problem of the source of convection-diffusion, identification of the steady-state permeability for two dimensional isotropic medium, two-dimensional steady inverse problem of convection-diffusion and parameter identification inverse problem for two-dimensional parabolic equation, etc.
对本文提出的各种算法，编制了数值计算程序，并把它应用于环境水力学反问题诸多领域，包括污染物一维非恒定扩散逆过程反问题，对流扩散方程逆过程反问题，河流水质纵向弥散系数反问题，非线性Boussinesq方程反问题，河流水质多参数识别反问题，BOD-DO水质模型参数反演问题，对流—扩散方程源项反问题及二维恒定各向同性介质渗透系数反问题，二维定常对流——扩散方程及二维抛物型方程参数控制反问题等。
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It is a generalization of the nonlinear diffusion equation proposed by Perona-Malik and the method presented by Cuesta, and interpolates between the nonlinear parabolic equation and the nonlinear hyperbolic equation, thus can effectively control the diffusion process so that noises can be removed and details of the image such as edges can be preserved as much as possible simultaneously.
提出了一种包含对时间的分数阶导数的非线性扩散方程，它是对Perona-Malik的非线性扩散方程和Cuesta提出的方程的推广，介于非线性抛物方程和非线性双曲方程之间，从而能有效地控制扩散过程，使得在去除图像噪声的同时能够尽可能地保留图像的边缘等细节信息。
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Many natural phenomena and physical laws can be described by time dependent nonlinear differential equations, such as heat conduction equation, sound wave and elastic wave equation, reaction diffusion and convection diffusion equation, fluid and aerodynamics equations, etc.
大多数的自然现象与物理规律都可归结为与时间相关的非线性偏微分方程，诸如热传导方程、声波与弹性波方程、反应扩散与对流扩散方程、流体与气体力学方程组等发展方程。
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Initial boundary value problem of two dimensional unsteady diffusion equations is solved in this paper. By using time-dependent fundamental solution of two dimensional diffusion equations and the extension of double layer potential, we establish virtual boundary integral expression of diffusion equations. Then virtual boundary element method is used to implement the numerical computation.
本文在求解二维非定常扩散方程的初边值问题时，利用二维扩散方程与时间有关的基本解，基于双层位势的延拓，建立二维扩散方程的虚边界积分表达式，然后利用虚边界元法进行数值计算。
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And we show that random walk model converges to the stable law of Lévy-Feller advection-dispersion equation by use of a properly scaled transition to vanish-ing space and time steps,We propose an explicit finite difference approximation for Lévy-Feller advection-dispersion equation.
第三章讨论描述服从某种稳定分布反常扩散的非对称空间分数阶对流-扩散方程——Lévy-Feller对流-扩散方程，首先利用Fourier变换和Laplace变换给出方程的基本解，然后利用Grünwald-Letnikov分数阶导数移位离散算子离散方程中的Riesz-Feller分数阶导数得到离散格式，证明此格式可以解释为离散随机游走模型，并且证明了当时间和空间步长以一定的比率同时趋于0时，所提出的离散随机游走模型收敛到Lévy-Feller对流-扩散过程的稳定分布。
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In this paper, a high order accuracy difference method is presented for solving unsteady convection diffusion equation by using Implicit Perturbation Finite Difference scheme.
本文利用摄动差分思想，对定常对流扩散方程中的空间微商系数进行摄动展开，展开幂级数系数通过消去摄动格式修正微分方程的截断误差项求出，由此获得方程的隐式摄动差分格式，将此方法应用于非定常对流扩散方程，并加以修正，得到该方程的修正隐式摄动差分格式。
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In this paper, a high order accuracy difference method is presented for solving unsteady convection diffusion equation by using Implicit Perturbation Finite Difference scheme. Firstly, we use the steady convection diffusion equation, the constant coefficients of this equation are expanded to power series of grid-spacings, then the high-order Perturbation Finite Difference scheme is obtained by determining the coefficients of the power series. Put this scheme on unsteady convection diffusion equations and modified it, the IPFD scheme is constructed.
本文利用摄动差分思想，对定常对流扩散方程中的空间微商系数进行摄动展开，展开幂级数系数通过消去摄动格式修正微分方程的截断误差项求出，由此获得方程的隐式摄动差分格式，将此方法应用于非定常对流扩散方程，并加以修正，得到该方程的修正隐式摄动差分格式。
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At first, the last low-frequency image after wavelet decomposition can be an initial approximation of the next low-frequency image. It is tested and verified that the last low-frequency image can diffuse and converge to the next low-frequency image. On the other hand, the next low-frequency image can also diffuse and converge to the last low-frequency image. Above process just presents the gradual variation of wavelet decomposition and reconstruction.
首先，用小波分解后下层的低频图像作为对上层低频图像的一个初始近似，验证了由上层低频图像经方向扩散方程可逐渐扩散收敛到下层的低频图像；反过来，由下层低频图像经方向扩散方程亦可逐渐扩散恢复到上层低频图像，这正体现了小波分解与重构的渐变过程。
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For intramolecular electron transfer reactions in solution,the fluctuations of the intramolecular vibrational modes are much faster than that of solvent mode.Thus,the reaction-diffusion equation is commonly used to describe the motion of solvent,with a sink function to treat the vibrational high-frequency mode.Based on this theory-so -called the Sumi-Marcus theory,we proposed an imaginary-time split operator approach to solve the reaction-diffusion equation.The approach is applied to evaluate the intermolecular ET rate between oxazine 1 and N,N-dimethlaniline.By measuring the two average survival times of the donor state probability and the rate constant in long time limit,the full kinetics of the ET is revealed with a variety of sink functions.
对于扩散控制的溶液中的电子转移反应，分子内振动模的运动比溶剂运动快很多，Sumi-Marcus理论提出用反应扩散方程(reaction-diffusion equation)处理溶剂的扩散运动，而分子内的振动用sink函数来表示，我们基于此理论发展了用虚时间分裂算符的方法(imaginary-time Split operator approach)解反应扩散方程，并将其应用于嗪1(oxazine 1，OX1)和N，N-二甲基苯胺分子之间的电子转移反应，Sink函数采用几种不同的微扰表达式，通过计算得到给体几率衰减的两种平均速率和长时间极限下的速率常数，揭示了该体系电子转移过程中的一些动力学性质。
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The first the relation of AD model and the energy variety of image is educed by thermal diffusion and the diffusion equations based energy flux, and proves the image processing by energy flux sufficing maximum-minimum principle, the variety of image energy is equivalent to that of image intensity.
首先通过热扩散及热扩散方程、基于能量流的扩散方程，导出了向异性扩散模型与图像能量的变化过程之间的关系，并证明了利用能量流方法获得的图像处理过程同样满足极大极小原理。
- 更多网络解释与扩散方程相关的网络解释 [注：此内容来源于网络，仅供参考]
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Beltrami diffusion equation：贝耳采米扩散方程[式]
带状捏缩 belt pinch | 贝耳采米扩散方程[式] Beltrami diffusion equation | 本德-吴公式 Bender-Wu formula
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modified differential equation：修正微分方程
对流扩散方程convection diffusion equation | 修正微分方程modified differential equation | 拉克斯等价定理Lax equivalence theorem
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diffusion equation：扩散方程
本论文提出基于扩散方程(Diffusion Equation)的通用次表面散射模型,用于异质半透明材质的建模、测量以及实时绘制. 模型采用偏微分方程简洁有效地描述了异质半透明物体内部的次表面散射. 基于该模型,论文提出了逆向求解建模算法(Inverse Diffusion Equation),
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convection diffusion equation：对流扩散方程
伯格斯方程Burgers equation | 对流扩散方程convection diffusion equation | 修正微分方程modified differential equation
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Terzaghi-Rendulic diffusion equation：固结太沙基-伦杜列克扩散方程
固结太沙基固结理论Terzaghi s consolidation theory | 固结太沙基-伦杜列克扩散方程Terzaghi-Rendulic diffusion equation | 固结先期固结压力preconsolidation pressure
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Terzaghi-Rendulic diffusion equation：太沙基-伦杜列克扩散方程
太沙基固结理论Terzaghi s consolidation theory | 太沙基-伦杜列克扩散方程Terzaghi-Rendulic diffusion equation | 先期固结压力preconsolidation pressure
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einstein diffusion equation：爱因斯坦扩散方程
einstein condensation 爱因斯坦凝聚 | einstein diffusion equation 爱因斯坦扩散方程 | einstein photochemical equivalenct law 爱因斯坦光化当量定律
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general diffusion equation：一般扩散方程
general design criterion 通用设计标准 | general diffusion equation 一般扩散方程 | general purpose manipulator 通用机械手
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age diffusion equation：年龄扩散方程
age coating of lamp 灯泡老化层 | age diffusion equation 年龄扩散方程 | age hardening 经久硬化,时效硬化
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spatially nonhomogenous reaction-diffusion model：空间分布非均匀的反应扩散模型
非线性反应扩散方程:nonlinear reaction-diffusion e... | 空间分布非均匀的反应扩散模型:spatially nonhomogenous reaction-diffusion model | 非线性时滞反应扩散方程:nonlinear reaction-diffusion equations with...