Numerical investigations for time-fractional nonlinear model arise in physics

Numerical investigations for time-fractional nonlinear model arise in physics

In this work, we suggest a numerical scheme to find analytically a solution of Caputo-time-fractional nonlinear model arise in physics. This model is called Belousov-Zhabotinsky (BZ) and reads asDtαu(x,t)=u(x,t)(1-u(x,t)-rv(x,t))+uxx(x,t),Dtαv(x,t)=-au(x,t)v(x,t)+vxx(x,t),where 0<α⩽1,0<t<R&...

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Main Authors: Ali Jaradat, Mohd Salmi Md Noorani, Marwan Alquran, H.M. Jaradat
Format: Article
Language:English
Published: Elsevier 2018-03-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379718300135
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spelling doaj-43e9f662829945e28e5a1563783338c22020-11-25T00:50:53ZengElsevierResults in Physics2211-37972018-03-01810341037Numerical investigations for time-fractional nonlinear model arise in physicsAli Jaradat0Mohd Salmi Md Noorani1Marwan Alquran2H.M. Jaradat3School of Mathematical Sciences, University Kebangsaan Malaysia, 43600 UKM Bangi, MalaysiaSchool of Mathematical Sciences, University Kebangsaan Malaysia, 43600 UKM Bangi, MalaysiaDepartment of Mathematics and Statistics, Jordan University of Science and Technology, P.O. Box: 3030, Irbid 22110, Jordan; Corresponding author.Department of Mathematics, Al al-Bayt University, Mafraq, JordanIn this work, we suggest a numerical scheme to find analytically a solution of Caputo-time-fractional nonlinear model arise in physics. This model is called Belousov-Zhabotinsky (BZ) and reads asDtαu(x,t)=u(x,t)(1-u(x,t)-rv(x,t))+uxx(x,t),Dtαv(x,t)=-au(x,t)v(x,t)+vxx(x,t),where 0<α⩽1,0<t<R<1. Also, a≠1 and r are positive parameters. A modified version of generalized Taylor power series method will be used in this work. Graphical justifications on the reliability of the proposed method are provided. Finally, the effects of the fractional order on the solution of Belousov-Zhabotinsky model is also discussed. MSC(2010): 26A33, 35F25, 35C10, Keywords: Time-fractional Belousov-Zhabotinsky equation, Approximate solutions, Generalized Taylor serieshttp://www.sciencedirect.com/science/article/pii/S2211379718300135
collection DOAJ
language English
format Article
sources DOAJ
author Ali Jaradat
Mohd Salmi Md Noorani
Marwan Alquran
H.M. Jaradat
spellingShingle Ali Jaradat
Mohd Salmi Md Noorani
Marwan Alquran
H.M. Jaradat
Numerical investigations for time-fractional nonlinear model arise in physics
Results in Physics
author_facet Ali Jaradat
Mohd Salmi Md Noorani
Marwan Alquran
H.M. Jaradat
author_sort Ali Jaradat
title Numerical investigations for time-fractional nonlinear model arise in physics
title_short Numerical investigations for time-fractional nonlinear model arise in physics
title_full Numerical investigations for time-fractional nonlinear model arise in physics
title_fullStr Numerical investigations for time-fractional nonlinear model arise in physics
title_full_unstemmed Numerical investigations for time-fractional nonlinear model arise in physics
title_sort numerical investigations for time-fractional nonlinear model arise in physics
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2018-03-01
description In this work, we suggest a numerical scheme to find analytically a solution of Caputo-time-fractional nonlinear model arise in physics. This model is called Belousov-Zhabotinsky (BZ) and reads asDtαu(x,t)=u(x,t)(1-u(x,t)-rv(x,t))+uxx(x,t),Dtαv(x,t)=-au(x,t)v(x,t)+vxx(x,t),where 0<α⩽1,0<t<R<1. Also, a≠1 and r are positive parameters. A modified version of generalized Taylor power series method will be used in this work. Graphical justifications on the reliability of the proposed method are provided. Finally, the effects of the fractional order on the solution of Belousov-Zhabotinsky model is also discussed. MSC(2010): 26A33, 35F25, 35C10, Keywords: Time-fractional Belousov-Zhabotinsky equation, Approximate solutions, Generalized Taylor series
url http://www.sciencedirect.com/science/article/pii/S2211379718300135
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AT mohdsalmimdnoorani numericalinvestigationsfortimefractionalnonlinearmodelariseinphysics
AT marwanalquran numericalinvestigationsfortimefractionalnonlinearmodelariseinphysics
AT hmjaradat numericalinvestigationsfortimefractionalnonlinearmodelariseinphysics
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