Fractional Differential Equation Solvers in Octave/Matlab

Marcin Sowa; Aleksandra Kawala-Janik; Waldemar Bauer

doi:10.1109/MMAR.2018.8485964

Fractional Differential Equation Solvers in Octave/Matlab

Marcin Sowa
, Aleksandra Kawala-Janik
, Waldemar Bauer

Department of Electrical Engineering and Computer Science (RE/RE3)

Opole University of Technology
AGH University of Krakow

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

7 Citations (Scopus)

Abstract

This paper concerns solvers for time fractional differential equations in Matlab and Octave. The main analysis revolves around a time step size adaptive solver basing on the numerical method called SubIval. The basis of SubIval is explained and formulae for the step size adaptivity are given. The solver is compared with others basing on: fractional linear multistep methods, product integration rules and the Grünwald-Letnikov approximation.

Original language	English
Title of host publication	2018 23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	628-633
Number of pages	6
ISBN (Electronic)	9781538643259
DOIs	https://doi.org/10.1109/MMAR.2018.8485964
Publication status	Published - 8 Oct 2018
Event	23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018 - Miedzyzdroje, Poland Duration: 27 Aug 2018 → 30 Aug 2018

Publication series

Name	2018 23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018

Conference

Conference	23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018
Country/Territory	Poland
City	Miedzyzdroje
Period	27/08/18 → 30/08/18

ASJC Scopus subject areas

Artificial Intelligence
Mechanical Engineering
Control and Optimization

Access to Document

10.1109/MMAR.2018.8485964

Cite this

Sowa, M., Kawala-Janik, A., & Bauer, W. (2018). Fractional Differential Equation Solvers in Octave/Matlab. In 2018 23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018 (pp. 628-633). Article 8485964 (2018 23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MMAR.2018.8485964

Sowa, Marcin ; Kawala-Janik, Aleksandra ; Bauer, Waldemar. / Fractional Differential Equation Solvers in Octave/Matlab. 2018 23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 628-633 (2018 23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018).

@inproceedings{6ecfe00278b642c4b8ecf9191a129c7b,

title = "Fractional Differential Equation Solvers in Octave/Matlab",

abstract = "This paper concerns solvers for time fractional differential equations in Matlab and Octave. The main analysis revolves around a time step size adaptive solver basing on the numerical method called SubIval. The basis of SubIval is explained and formulae for the step size adaptivity are given. The solver is compared with others basing on: fractional linear multistep methods, product integration rules and the Gr{\"u}nwald-Letnikov approximation.",

author = "Marcin Sowa and Aleksandra Kawala-Janik and Waldemar Bauer",

note = "Publisher Copyright: {\textcopyright} 2018 IEEE.; 23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018 ; Conference date: 27-08-2018 Through 30-08-2018",

year = "2018",

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day = "8",

doi = "10.1109/MMAR.2018.8485964",

language = "English",

series = "2018 23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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Sowa, M, Kawala-Janik, A & Bauer, W 2018, Fractional Differential Equation Solvers in Octave/Matlab. in 2018 23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018., 8485964, 2018 23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018, Institute of Electrical and Electronics Engineers Inc., pp. 628-633, 23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018, Miedzyzdroje, Poland, 27/08/18. https://doi.org/10.1109/MMAR.2018.8485964

Fractional Differential Equation Solvers in Octave/Matlab. / Sowa, Marcin; Kawala-Janik, Aleksandra; Bauer, Waldemar.
2018 23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 628-633 8485964 (2018 23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018).

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

TY - GEN

T1 - Fractional Differential Equation Solvers in Octave/Matlab

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AU - Kawala-Janik, Aleksandra

AU - Bauer, Waldemar

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N2 - This paper concerns solvers for time fractional differential equations in Matlab and Octave. The main analysis revolves around a time step size adaptive solver basing on the numerical method called SubIval. The basis of SubIval is explained and formulae for the step size adaptivity are given. The solver is compared with others basing on: fractional linear multistep methods, product integration rules and the Grünwald-Letnikov approximation.

AB - This paper concerns solvers for time fractional differential equations in Matlab and Octave. The main analysis revolves around a time step size adaptive solver basing on the numerical method called SubIval. The basis of SubIval is explained and formulae for the step size adaptivity are given. The solver is compared with others basing on: fractional linear multistep methods, product integration rules and the Grünwald-Letnikov approximation.

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M3 - Conference contribution

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T3 - 2018 23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018

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BT - 2018 23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018

Y2 - 27 August 2018 through 30 August 2018

ER -

Sowa M, Kawala-Janik A, Bauer W. Fractional Differential Equation Solvers in Octave/Matlab. In 2018 23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018. Institute of Electrical and Electronics Engineers Inc. 2018. p. 628-633. 8485964. (2018 23rd International Conference on Methods and Models in Automation and Robotics, MMAR 2018). doi: 10.1109/MMAR.2018.8485964

Fractional Differential Equation Solvers in Octave/Matlab

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