### 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 D_{t} ^{α}u(x,t)=u(x,t)(1-u(x,t)-rv(x,t))+u_{xx}(x,t),D_{t} ^{α}v(x,t)=-au(x,t)v(x,t)+v_{xx}(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 language | English |
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Pages (from-to) | 1034-1037 |

Number of pages | 4 |

Journal | Results in Physics |

Volume | 8 |

DOIs | |

Publication status | Published - 1 Mar 2018 |

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### Keywords

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

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Results in Physics*,

*8*, 1034-1037. https://doi.org/10.1016/j.rinp.2018.01.049

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

Research output: Contribution to journal › Article

*Results in Physics*, vol. 8, pp. 1034-1037. https://doi.org/10.1016/j.rinp.2018.01.049

}

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

VL - 8

SP - 1034

EP - 1037

JO - Results in Physics

JF - Results in Physics

SN - 2211-3797

ER -