The time-fractional diffusion equation is used for signal smoothing. Compared to the classical diffusion equation, the time-fractional diffusion equation has another adjustable time-fractional derivative order to control the diffusion process. Therefore, some simulated signals are used to compare the ...
5) Riesz space fractional diffusion equation 空间分数阶扩散方程 1. In this paper aRiesz space fractional diffusion equationon a finite domain is considered. 在有限区域内考虑具有初边值问题的Riesz空间分数阶扩散方程,传统扩散方程中的二阶空间导数由Riesz分数阶导数α(1<α≤2)代替就得到Riesz空间分数阶扩...
变分数阶扩散方程微分阶数的数值反演 Numerical Inversion for the Fractional Order in the Variable-Order Time-Fractional Diffusion Equation分数阶微积分分数阶系统分数阶控制器对于变分数阶扩散方程,给出一个隐式差分求解格式.进一步讨论由内点观测数据确定微分阶数的一个反问题,应用同伦正则化算法在不同参数取值条件...
来源期刊 Siam Journal on Scientific Computing 研究点推荐 Time-Fractional Diffusion Equations time-fractional diusion equation (TFDE) fractional spectral method High Order Method time-fractional diffusion equation 引用走势 2018 被引量:15 站内活动 0关于...
A reaction-diffusion problem with a Caputo time derivative of order a E (0, 1) is considered. The solution of such a problem is shown in general to have a weak singularity near the initial time t = 0, and sharp pointwise bounds on certain derivatives of this solution are derived. A ne...
This article is concerned with a semilinear time-fractional diffusion equation with a superlinear convex semilinear term in a bounded domain Ω \Omega with the homogeneous Dirichlet, Neumann, Robin boundary conditions and non-negative and not identically vanishing initial value. The order of the fracti...
To represent the solution of the direct problem, the fundamental solution of the time-fractional diffusion equation with Riemann–Liouville derivative is constructed. Using the formulas of asymptotic expansions for the fundamental solution and its derivatives, an estimate for the solution of the direct ...
3) the time fractional diffusion equation 时间分数阶扩散方程4) fractional Navier-Stokes equation 时间分数阶Navier-Stokes方程 1. In the paper, a special form of the time fractional Navier-Stokes equations (TFNSE) with mixed initial conditions are discussed. 本文考虑了一类特殊形式的时间分数阶...
Time-fractional diffusion equations, which frequently appear in the diffusion process, describe the continuous time random walk phenomena. In this paper we investigate a backward time-fractional diffusion equation where one wants to extract the initial temperature distribution from the observation data prov...
Finite difference/spectral approximations for the time-fractional diffusion equation. J. Comput. Phys. 225(2), 1533–1552. https://doi.org/10.1016/j.jcp.2007.02.001 (2007). Article ADS MathSciNet MATH Google Scholar Download references Acknowledgments Ilyas Khan would like to thank the Dean...