A nonlinear singular diffusion equation with source[J] . Jiaqing Pan.Journal of Mathematical Analysis and Applications . 2006 (1)Pan Jia Qing.A nonlinear singular diffusion equation with source.Journal of Mathematical Analysis and Applications. 2007...
Diffusion processfractional derivativebackward problemregularizationinhomogeneous source(2017). On a final value problem for the time-fractional diffusion equation with inhomogeneous source. Inverse Problems in Science and Engineering: Vol. 25, No. 9, pp. 1367-1395. doi: 10.1080/17415977.2016.1259316...
With regard to ionization, the term In can be added to the diffusion equation to produce the inhomogeneous equation ∂n∂t=D∇2n+In. Note that, in general, I will be a function of both space and time. Another source term that is required is the multi-electron ionization rate due ...
For L ≫ ℓ, the scaling of average transmission of an incident beam is found by solving the diffusion equation with the impact of the boundary incorporated phenomenologically13. For a single incident channel a, the ensemble average of total transmission is 〈T a 〉 = (zp,a+zb...
Blow-up for degenerate parabolic equations with nonlocal source This paper deals with the blow-up properties of the solution to the degenerate nonlinear reaction diffusion equation with nonlocal source Youpeng,Chen,Qilin,... - 《Proc.amer.math.soc》 被引量: 82发表: 2004年 Uniform blow-up ...
The diffusion equation goes with one initial condition u(x,0)=I(x), where I is a prescribed function. One boundary condition is required at each point on the boundary, which in 1D means that u must be known, u x must be known, or some combination of them. ...
and Liang, S.: Estimating surface energy fluxes us- ing a dual-source data assimilation approach adjoined to the heat diffusion equation, J. Geophys. Res.-Atmos., 117, D17118, doi:10.1029/2012JD017618, 2012.Estimating surface energy fluxes using a dual-source data assimilation approach ad...
一个学习得到的去噪声过程pθ(a learned reverse denoising diffusion process): 训练一个神经网络去逐渐地从一张纯噪声中消除噪声,直到得到一张真正的图片。 前向与后向的步数由下标t定义,并且有预先定义好的总步数T(DDPM原文中为1000)。 t=0时为从数据集中采样得到的一张真实图片,t=T时近似为一张纯粹的噪声...
Tau method for the numerical solution of a fuzzy fractional kinetic model and its application to the oil palm frond as a promising source of xylose英文资料 热度: An approximate solution of nonlinear fractional reaction-diffusion equation 热度: Positive solution for a class of singular semi...
Since the analytical solution for Equation (5) is unknown, we run our FEM solver in a fine 81 × 81 grid to obtain the baseline solution for accuracy evaluation. To compare the computation time, we run the FEM simulation and CNN prediction to solve the reaction-diffusion equation with the ...