Robin fractional derivative boundary conditionWeak regularityDifference methodGraded meshIn this paper, a numerical method is proposed to solve the time-space fractional diffusion equation with Robin fractional derivative boundary condition. Under the weak regularity assumptions of solution, we present a ...
In this paper, the multi-term time-space fractional diffusion equation with fractional boundary conditions is considered. The fractional derivative in space is approximated by the standard and shiftedGru篓nwald-Letnikov\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\use...
Time-space fractional diffusion equationFractional differential equations are powerful tools to model the non-locality and spatial heterogeneity evident in many real-world problems. Although numerous numerical methods have been proposed, most of them are limited to regular domains and uniform meshes. For...
We present a comparison of four block preconditioning strategies for linear systems arising in the numerical discretization of time–space fractional diffusion equations. In contrast to the traditional time-marching procedure, the discretization via finite difference is considered in a fully coupled time–...
Determination of a source term for a time fractional diffusion equation with an integral type over-determining condition A. Malik. Determination of a source term for a time fractional diffusion equation with an integral type over-determining condition. Electron. J. ... TS Aleroev,M Kirane,SA ...
Le et al. [36] studied the finite element approximation for a time-fractional diffusion problem on a domain with a re-entrant corner. Fan et al. [28] discussed the unstructured mesh finite element method for the time-space fractional wave equation. They used the L2 scheme to ...
Pagnini, “The fundamental solution of the space-time fractional diffusion equation,” Frac. Calcul. Appl. Anal., 4, 153–192 (2001). MathSciNet Google Scholar F. Mainardi, M. Raberto, R. Gorenflo, and E. Scalas, “Fractional calculus and continuous-time finance. II: The waiting-time...
5) Riesz space fractional diffusion equation 空间分数阶扩散方程 1. In this paper a Riesz space fractional diffusion equation on 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...
We consider the solutions of a space–time fractional diffusion equation on the interval [-1, 1]. The equation is obtained from the standard diffusion equa... M Yamamoto,L Ling - 《International Journal of Computational Methods》 被引量: 14发表: 2013年 [formula omitted] schemes for finite ...
We investigate an inverse problem with quasi-boundary value regularization for reconstructing a source term of time-space fractional diffusion equations from the final observation. A sine transform based preconditioning technique is developed for the linear system which arises from the finite difference dis...