Numerical solutions of the fractional KdV-Burgers-Kuramoto equation

Numerical solutions of the fractional KdV-Burgers-Kuramoto equation

Non-linear terms of the time-fractional KdV-Burgers-Kuramoto equation are linearized using by some linearization techniques. Numerical solutions of this equation are obtained with the help of the finite difference methods. Numerical solutions and corresponding analytical solutions are compared. The...

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Main Authors: Kaya Dogan, Gulbahar Sema, Yokus Asıf
Format: Article
Language:English
Published: VINCA Institute of Nuclear Sciences 2018-01-01
Series:Thermal Science
Subjects:
time-Fractional KdV- Burgers-Kuramoto equation
finite difference method
stability
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-9836/2018/0354-98361700281K.pdf
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spelling doaj-3d83be6f72b04ebea22f5c7a8193fc802021-01-02T01:45:33ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632018-01-0122Suppl. 115315810.2298/TSCI170613281K0354-98361700281KNumerical solutions of the fractional KdV-Burgers-Kuramoto equationKaya Dogan0Gulbahar Sema1Yokus Asıf2Istanbul Commerce University, Department of Mathematics, Üsküdar, Istanbul, TurkeyIstanbul Commerce University, Department of Mathematics, Üsküdar, Istanbul, TurkeyFirat University, Department of Actuary, Elazığ, TurkeyNon-linear terms of the time-fractional KdV-Burgers-Kuramoto equation are linearized using by some linearization techniques. Numerical solutions of this equation are obtained with the help of the finite difference methods. Numerical solutions and corresponding analytical solutions are compared. The L2 and L∞ error norms are computed. Stability of given method is investigated by using the Von Neumann stability analysis.http://www.doiserbia.nb.rs/img/doi/0354-9836/2018/0354-98361700281K.pdftime-Fractional KdV- Burgers-Kuramoto equationfinite difference methodstability
collection DOAJ
language English
format Article
sources DOAJ
author Kaya Dogan
Gulbahar Sema
Yokus Asıf
spellingShingle Kaya Dogan
Gulbahar Sema
Yokus Asıf
Numerical solutions of the fractional KdV-Burgers-Kuramoto equation
Thermal Science
time-Fractional KdV- Burgers-Kuramoto equation
finite difference method
stability
author_facet Kaya Dogan
Gulbahar Sema
Yokus Asıf
author_sort Kaya Dogan
title Numerical solutions of the fractional KdV-Burgers-Kuramoto equation
title_short Numerical solutions of the fractional KdV-Burgers-Kuramoto equation
title_full Numerical solutions of the fractional KdV-Burgers-Kuramoto equation
title_fullStr Numerical solutions of the fractional KdV-Burgers-Kuramoto equation
title_full_unstemmed Numerical solutions of the fractional KdV-Burgers-Kuramoto equation
title_sort numerical solutions of the fractional kdv-burgers-kuramoto equation
publisher VINCA Institute of Nuclear Sciences
series Thermal Science
issn 0354-9836
2334-7163
publishDate 2018-01-01
description Non-linear terms of the time-fractional KdV-Burgers-Kuramoto equation are linearized using by some linearization techniques. Numerical solutions of this equation are obtained with the help of the finite difference methods. Numerical solutions and corresponding analytical solutions are compared. The L2 and L∞ error norms are computed. Stability of given method is investigated by using the Von Neumann stability analysis.
topic time-Fractional KdV- Burgers-Kuramoto equation
finite difference method
stability
url http://www.doiserbia.nb.rs/img/doi/0354-9836/2018/0354-98361700281K.pdf
work_keys_str_mv AT kayadogan numericalsolutionsofthefractionalkdvburgerskuramotoequation
AT gulbaharsema numericalsolutionsofthefractionalkdvburgerskuramotoequation
AT yokusasıf numericalsolutionsofthefractionalkdvburgerskuramotoequation
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