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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

12 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 languageUnknown
Title of host publicationFractional Differentiation and Its Applications (ICFDA), 2014 International Conference on, IEEE Publisher
Pages1-6
DOIs
Publication statusPublished - 1 Jan 2014
EventInternational Conference on Fractional Differentiation and Its Applications -
Duration: 1 Jan 2014 → …

Conference

ConferenceInternational Conference on Fractional Differentiation and Its Applications
Period1/01/14 → …

Cite this

Rebelo, M. S. D. J. (2014). A numerical method for the distributed order time-fractional diffusion equation. In Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on, IEEE Publisher (pp. 1-6) https://doi.org/10.1109/ICFDA.2014.6967389
Rebelo, Magda Stela de Jesus. / A numerical method for the distributed order time-fractional diffusion equation. Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on, IEEE Publisher. 2014. pp. 1-6
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Rebelo, MSDJ 2014, A numerical method for the distributed order time-fractional diffusion equation. in Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on, IEEE Publisher. pp. 1-6, International Conference on Fractional Differentiation and Its Applications, 1/01/14. https://doi.org/10.1109/ICFDA.2014.6967389

A numerical method for the distributed order time-fractional diffusion equation. / Rebelo, Magda Stela de Jesus.

Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on, IEEE Publisher. 2014. p. 1-6.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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AB - 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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Rebelo MSDJ. A numerical method for the distributed order time-fractional diffusion equation. In Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on, IEEE Publisher. 2014. p. 1-6 https://doi.org/10.1109/ICFDA.2014.6967389