Title :
A numerical method for the distributed order time-fractional diffusion equation
Author :
Ford, Neville J. ; Morgado, M. Luisa ; Rebelo, Magda
Author_Institution :
Dept. of Math., Univ. of Chester, Chester, UK
Abstract :
This paper is devoted to the numerical approximation of the diffusion equation with distributed order in time. A numerical method is proposed in the case where the order of the time derivative is distributed over the interval [0, 1], and results concerning the stability and convergence of that scheme are provided. Two numerical examples are presented illustrating the theoretical numerical results.
Keywords :
approximation theory; convergence of numerical methods; numerical stability; convergence; distributed order time-fractional diffusion equation; numerical approximation; numerical method; stability; time derivative; Approximation methods; Boundary conditions; Convergence; Differential equations; Equations; Mathematical model; Numerical models;
Conference_Titel :
Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on
Conference_Location :
Catania
DOI :
10.1109/ICFDA.2014.6967389
