Numerical investigations for time-fractional nonlinear model arise in physics

Ali Jaradat, Mohd. Salmi Md. Noorani, Marwan Alquran, H. M. Jaradat

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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 as Dt αu(x,t)=u(x,t)(1-u(x,t)-rv(x,t))+uxx(x,t),Dt αv(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.

Original languageEnglish
Pages (from-to)1034-1037
Number of pages4
JournalResults in Physics
Volume8
DOIs
Publication statusPublished - 1 Mar 2018

Fingerprint

physics
power series

Keywords

  • Approximate solutions
  • Generalized Taylor series
  • Time-fractional Belousov-Zhabotinsky equation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Numerical investigations for time-fractional nonlinear model arise in physics. / Jaradat, Ali; Md. Noorani, Mohd. Salmi; Alquran, Marwan; Jaradat, H. M.

In: Results in Physics, Vol. 8, 01.03.2018, p. 1034-1037.

Research output: Contribution to journalArticle

Jaradat, Ali ; Md. Noorani, Mohd. Salmi ; Alquran, Marwan ; Jaradat, H. M. / Numerical investigations for time-fractional nonlinear model arise in physics. In: Results in Physics. 2018 ; Vol. 8. pp. 1034-1037.
@article{a2fe4d6bbb794eb7abba4d3a544f484f,
title = "Numerical investigations for time-fractional nonlinear model arise in physics",
abstract = "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 as Dt αu(x,t)=u(x,t)(1-u(x,t)-rv(x,t))+uxx(x,t),Dt αv(x,t)=-au(x,t)v(x,t)+vxx(x,t),where 0<α⩽1,0",
keywords = "Approximate solutions, Generalized Taylor series, Time-fractional Belousov-Zhabotinsky equation",
author = "Ali Jaradat and {Md. Noorani}, {Mohd. Salmi} and Marwan Alquran and Jaradat, {H. M.}",
year = "2018",
month = "3",
day = "1",
doi = "10.1016/j.rinp.2018.01.049",
language = "English",
volume = "8",
pages = "1034--1037",
journal = "Results in Physics",
issn = "2211-3797",
publisher = "Elsevier BV",

}

TY - JOUR

T1 - Numerical investigations for time-fractional nonlinear model arise in physics

AU - Jaradat, Ali

AU - Md. Noorani, Mohd. Salmi

AU - Alquran, Marwan

AU - Jaradat, H. M.

PY - 2018/3/1

Y1 - 2018/3/1

N2 - 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 as Dt αu(x,t)=u(x,t)(1-u(x,t)-rv(x,t))+uxx(x,t),Dt αv(x,t)=-au(x,t)v(x,t)+vxx(x,t),where 0<α⩽1,0

AB - 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 as Dt αu(x,t)=u(x,t)(1-u(x,t)-rv(x,t))+uxx(x,t),Dt αv(x,t)=-au(x,t)v(x,t)+vxx(x,t),where 0<α⩽1,0

KW - Approximate solutions

KW - Generalized Taylor series

KW - Time-fractional Belousov-Zhabotinsky equation

UR - http://www.scopus.com/inward/record.url?scp=85043578389&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85043578389&partnerID=8YFLogxK

U2 - 10.1016/j.rinp.2018.01.049

DO - 10.1016/j.rinp.2018.01.049

M3 - Article

AN - SCOPUS:85043578389

VL - 8

SP - 1034

EP - 1037

JO - Results in Physics

JF - Results in Physics

SN - 2211-3797

ER -