Numerical Solution to the Multi-Term Time Fractional Diffusion Equation in a Finite Domain. Li G,Sun C,Du X J D. Numerical Mathematics Theory Methods&Applications . 2016Li G S, Sun C L, Jia X Z and Du D H. Numerical solution to the multi-term time fractional diffusion equation in a ...
The multi-term time-fractional diffusion equation is a useful tool in the modeling of complex systems. This paper aims to identifying a time-dependent source term in a multi-term time-fractional diffusion equation from the boundary Cauchy data. The regularity of the weak solution for the direct...
Turner, A high-order spectral method for the multi-term time-fractional diffusion equations, Appl. Math. Model. 40 (7) (2016) 4970-4985.M. Zheng, F. Liu, V. Anh, and I. Turner. A high order spectral method for the multi-term time-fractional di↵usion equation. Applied Mathematical...
Finite element multigrid method for multi-term time fractional advection diffusion equations. W. P. Bu,X. Liu,Y. F. Tang,J. Y. Yang. International Journal of Modeling,Simulation, and Scientific Computing . 2015Bu W P, Liu X T, Tang Y F, Yang J Y. Finite element multigrid method for...
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...
Some efficient numerical schemes are proposed to solve one-dimensional and two-dimensional multi-term time fractional diffusion-wave equation, by combining the compact difference approach for the spatial discretisation and an L1 approximation for the multi-term time Caputo fractional derivatives. The uncon...
Multi-term variable-order fractional differential equations (VO-FDEs) are considered to be one of the tools to illustrate the behavior of transient-regime real-life phenomena precisely. The analytical solutions of VO-FDEs are generally very hard to obtain. Therefore, in this study, an approximation...
The method utilises the conventional two-term... S Yachi,Y Kitamura,K Kitamori,... - 《Journal of Physics D Applied Physics》 被引量: 55发表: 1991年 Analytical solutions for the multi-term time-space fractional reaction-diffusion equations on an infinite domain We consider the analytical ...
Time-fractional diffusion equationCollocation methodNon-smooth solutionsFractional Legendre functionsWhen solving multi-term time-fractional diffusion-wave equations, even if the input functions are smooth, the solutions often exhibit low regularity at the beginning of time. This non-smooth behavior can ...
Based on an L1 interpolation operator, a new high-order compact finite volume scheme is derived for the 2D multi-term time fractional sub-diffusion equation. It is shown that the difference scheme is unconditionally convergent and stable in L鈭瀄\documentclass[12pt]{minimal} \\usepackage{ams...