A hybrid numerical scheme for fractional-order systems

L. L. Ferrás, N. J. Ford, M. L. Morgado, M. Rebelo

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

Abstract

In this work we present a hybrid numerical scheme for the solution of systems of fractional differential equations arising in several fields of engineering. The numerical scheme can deal with both smooth and non-smooth solutions, and, the idea behind the hybrid method is that of approximating the solution as a linear combination of non-polynomial functions in a region near the singularity, and by polynomials in the remaining domain. The numerical method is then used to study fractional RC electrical circuits.

LanguageEnglish
Title of host publicationInnovation, Engineering and Entrepreneurship
EditorsGermano Veiga, Jose Machado, Filomena Soares
PublisherSpringer Verlag
Pages735-742
Number of pages8
ISBN (Electronic)978-3-319-91334-6
ISBN (Print)978-3-319-91333-9
DOIs
Publication statusPublished - 1 Jan 2019
Event3rd Conference on Innovation, Engineering and Entrepreneurship, Regional HELIX 2018 - Guimaraes, Portugal
Duration: 27 Jun 201829 Jun 2018

Publication series

NameLecture Notes in Electrical Engineering
Volume505
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Conference

Conference3rd Conference on Innovation, Engineering and Entrepreneurship, Regional HELIX 2018
CountryPortugal
CityGuimaraes
Period27/06/1829/06/18

Fingerprint

Numerical methods
Differential equations
Polynomials
Networks (circuits)

Keywords

  • Caputo derivative
  • Electrical circuits
  • Fractional differential equations
  • Non-polynomial collocation method
  • Polynomial collocation method

Cite this

Ferrás, L. L., Ford, N. J., Morgado, M. L., & Rebelo, M. (2019). A hybrid numerical scheme for fractional-order systems. In G. Veiga, J. Machado, & F. Soares (Eds.), Innovation, Engineering and Entrepreneurship (pp. 735-742). (Lecture Notes in Electrical Engineering; Vol. 505). Springer Verlag. https://doi.org/10.1007/978-3-319-91334-6_100
Ferrás, L. L. ; Ford, N. J. ; Morgado, M. L. ; Rebelo, M. / A hybrid numerical scheme for fractional-order systems. Innovation, Engineering and Entrepreneurship. editor / Germano Veiga ; Jose Machado ; Filomena Soares. Springer Verlag, 2019. pp. 735-742 (Lecture Notes in Electrical Engineering).
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Ferrás, LL, Ford, NJ, Morgado, ML & Rebelo, M 2019, A hybrid numerical scheme for fractional-order systems. in G Veiga, J Machado & F Soares (eds), Innovation, Engineering and Entrepreneurship. Lecture Notes in Electrical Engineering, vol. 505, Springer Verlag, pp. 735-742, 3rd Conference on Innovation, Engineering and Entrepreneurship, Regional HELIX 2018, Guimaraes, Portugal, 27/06/18. https://doi.org/10.1007/978-3-319-91334-6_100

A hybrid numerical scheme for fractional-order systems. / Ferrás, L. L.; Ford, N. J.; Morgado, M. L.; Rebelo, M.

Innovation, Engineering and Entrepreneurship. ed. / Germano Veiga; Jose Machado; Filomena Soares. Springer Verlag, 2019. p. 735-742 (Lecture Notes in Electrical Engineering; Vol. 505).

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

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Ferrás LL, Ford NJ, Morgado ML, Rebelo M. A hybrid numerical scheme for fractional-order systems. In Veiga G, Machado J, Soares F, editors, Innovation, Engineering and Entrepreneurship. Springer Verlag. 2019. p. 735-742. (Lecture Notes in Electrical Engineering). https://doi.org/10.1007/978-3-319-91334-6_100