A numerical solution of time-fractional coupled Korteweg-de Vries equation by using spectral collection method

A numerical solution of time-fractional coupled Korteweg-de Vries equation by using spectral collection method

In this paper, we present a numerical method proficient for solving a system of time–fractional partial differential equations. For this sake, we use spectral collection method based on shifted Chebyshev polynomials in space and finite difference method for time fractional derivative. Furthermore, w...

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Main Authors: Basim Albuohimad, Hojatollah Adibi, Saeed Kazem
Format: Article
Language:English
Published: Elsevier 2018-12-01
Series:Ain Shams Engineering Journal
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447917300175
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spelling doaj-fe9249de604644b29412820b23f46f8e2021-06-02T01:19:25ZengElsevierAin Shams Engineering Journal2090-44792018-12-019418971905A numerical solution of time-fractional coupled Korteweg-de Vries equation by using spectral collection methodBasim Albuohimad0Hojatollah Adibi1Saeed Kazem2Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Ave., 15914 Tehran, IranCorresponding author.; Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Ave., 15914 Tehran, IranDepartment of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Ave., 15914 Tehran, IranIn this paper, we present a numerical method proficient for solving a system of time–fractional partial differential equations. For this sake, we use spectral collection method based on shifted Chebyshev polynomials in space and finite difference method for time fractional derivative. Furthermore, we employ this method to solve the time-fractional coupled Korteweg–de Vries (KdV) equations with appropriate initial and boundary conditions. Keywords: Fractional coupled Korteweg-de Vries equation, Finite difference schemes, Chebyshev polynomials, Spectral methodhttp://www.sciencedirect.com/science/article/pii/S2090447917300175
collection DOAJ
language English
format Article
sources DOAJ
author Basim Albuohimad
Hojatollah Adibi
Saeed Kazem
spellingShingle Basim Albuohimad
Hojatollah Adibi
Saeed Kazem
A numerical solution of time-fractional coupled Korteweg-de Vries equation by using spectral collection method
Ain Shams Engineering Journal
author_facet Basim Albuohimad
Hojatollah Adibi
Saeed Kazem
author_sort Basim Albuohimad
title A numerical solution of time-fractional coupled Korteweg-de Vries equation by using spectral collection method
title_short A numerical solution of time-fractional coupled Korteweg-de Vries equation by using spectral collection method
title_full A numerical solution of time-fractional coupled Korteweg-de Vries equation by using spectral collection method
title_fullStr A numerical solution of time-fractional coupled Korteweg-de Vries equation by using spectral collection method
title_full_unstemmed A numerical solution of time-fractional coupled Korteweg-de Vries equation by using spectral collection method
title_sort numerical solution of time-fractional coupled korteweg-de vries equation by using spectral collection method
publisher Elsevier
series Ain Shams Engineering Journal
issn 2090-4479
publishDate 2018-12-01
description In this paper, we present a numerical method proficient for solving a system of time–fractional partial differential equations. For this sake, we use spectral collection method based on shifted Chebyshev polynomials in space and finite difference method for time fractional derivative. Furthermore, we employ this method to solve the time-fractional coupled Korteweg–de Vries (KdV) equations with appropriate initial and boundary conditions. Keywords: Fractional coupled Korteweg-de Vries equation, Finite difference schemes, Chebyshev polynomials, Spectral method
url http://www.sciencedirect.com/science/article/pii/S2090447917300175
work_keys_str_mv AT basimalbuohimad anumericalsolutionoftimefractionalcoupledkortewegdevriesequationbyusingspectralcollectionmethod
AT hojatollahadibi anumericalsolutionoftimefractionalcoupledkortewegdevriesequationbyusingspectralcollectionmethod
AT saeedkazem anumericalsolutionoftimefractionalcoupledkortewegdevriesequationbyusingspectralcollectionmethod
AT basimalbuohimad numericalsolutionoftimefractionalcoupledkortewegdevriesequationbyusingspectralcollectionmethod
AT hojatollahadibi numericalsolutionoftimefractionalcoupledkortewegdevriesequationbyusingspectralcollectionmethod
AT saeedkazem numericalsolutionoftimefractionalcoupledkortewegdevriesequationbyusingspectralcollectionmethod
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