A numerical method for the distributed order time-fractional diffusion equation

被引：0
|
作者：
Ford, Neville J. [1 ]
Morgado, M. Luisa [2 ]
Rebelo, Magda [3 ,4 ]
机构：
[1] Univ Chester, Dept Math, Chester CH1 4BJ, Cheshire, England
[2] UTAD, Dept Math, CM, P-5001801 Vila Real, Portugal
[3] Univ Nova Lisboa, FCT, CEMAT IST, P-2829516 Caparica, Portugal
[4] Univ Nova Lisboa, FCT, Dept Math, P-2829516 Caparica, Portugal
来源：
2014 INTERNATIONAL CONFERENCE ON FRACTIONAL DIFFERENTIATION AND ITS APPLICATIONS (ICFDA) | 2014年
关键词：
FINITE-DIFFERENCE METHODS; STABILITY; SCHEME;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：6
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