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

Magda Stela de Jesus Rebelo

doi:10.1109/ICFDA.2014.6967389

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

Magda Stela de Jesus Rebelo

DM - Departamento de Matemática

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

21 Citations (Scopus)

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.

Original language	Unknown
Title of host publication	Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on, IEEE Publisher
Pages	1-6
DOIs	https://doi.org/10.1109/ICFDA.2014.6967389
Publication status	Published - 1 Jan 2014
Event	International Conference on Fractional Differentiation and Its Applications - Duration: 1 Jan 2014 → …

Conference

Conference	International Conference on Fractional Differentiation and Its Applications
Period	1/01/14 → …

Access to Document

10.1109/ICFDA.2014.6967389

Cite this

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title = "A numerical method for the distributed order time-fractional diffusion equation",

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