Numerical Solutions of Fractional Order Autocatalytic Chemical Reaction Model

Mevlüde Yakıt Ongun; Damla Arslan; Javad Farzi

doi:10.19113/sdufbed.24679

Numerical Solutions of Fractional Order Autocatalytic Chemical Reaction Model

Öz

The main concerns of this paper is the study and the development of numerical methods for solving fractional order autocatalytic chemical reaction model problem. This is a nonlinear fractional order differential equation of fractional order , where . Three different (explicit and implicit) schemes based on multistep methods, nonstandard finite difference method and the product integration (PI) method are developed. The PI scheme enjoys the integral equation formulation of the model problem. The accuracy, efficiency and comparison of the developed methods are demonstrated in numerical results.

Anahtar Kelimeler

Fractional differential equations,Explicit and implicit methods; Product integrations methods; Nonstandard schemes; Brusselator model

Kaynakça

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Ayrıntılar

Birincil Dil

Türkçe

Konular

-

Bölüm

-

Yazarlar

Mevlüde Yakıt Ongun

Damla Arslan Bu kişi benim

Javad Farzi Bu kişi benim

Yayımlanma Tarihi

15 Nisan 2017

Gönderilme Tarihi

29 Haziran 2016

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2017 Cilt: 21 Sayı: 1

DOI

https://doi.org/10.19113/sdufbed.24679

IZ

https://izlik.org/JA76ZK24JY

Kaynak Göster

RIS / Bibtex

APA

Yakıt Ongun, M., Arslan, D., & Farzi, J. (2017). Numerical Solutions of Fractional Order Autocatalytic Chemical Reaction Model. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 21(1), 165-172. https://doi.org/10.19113/sdufbed.24679

AMA

1.Yakıt Ongun M, Arslan D, Farzi J. Numerical Solutions of Fractional Order Autocatalytic Chemical Reaction Model. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2017;21(1):165-172. doi:10.19113/sdufbed.24679

Chicago

Yakıt Ongun, Mevlüde, Damla Arslan, ve Javad Farzi. 2017. “Numerical Solutions of Fractional Order Autocatalytic Chemical Reaction Model”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21 (1): 165-72. https://doi.org/10.19113/sdufbed.24679.

EndNote

Yakıt Ongun M, Arslan D, Farzi J (01 Nisan 2017) Numerical Solutions of Fractional Order Autocatalytic Chemical Reaction Model. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21 1 165–172.

IEEE

[1]M. Yakıt Ongun, D. Arslan, ve J. Farzi, “Numerical Solutions of Fractional Order Autocatalytic Chemical Reaction Model”, Süleyman Demirel Üniv. Fen Bilim. Enst. Derg., c. 21, sy 1, ss. 165–172, Nis. 2017, doi: 10.19113/sdufbed.24679.

ISNAD

Yakıt Ongun, Mevlüde - Arslan, Damla - Farzi, Javad. “Numerical Solutions of Fractional Order Autocatalytic Chemical Reaction Model”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21/1 (01 Nisan 2017): 165-172. https://doi.org/10.19113/sdufbed.24679.

JAMA

1.Yakıt Ongun M, Arslan D, Farzi J. Numerical Solutions of Fractional Order Autocatalytic Chemical Reaction Model. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2017;21:165–172.

MLA

Yakıt Ongun, Mevlüde, vd. “Numerical Solutions of Fractional Order Autocatalytic Chemical Reaction Model”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 21, sy 1, Nisan 2017, ss. 165-72, doi:10.19113/sdufbed.24679.

Vancouver

1.Mevlüde Yakıt Ongun, Damla Arslan, Javad Farzi. Numerical Solutions of Fractional Order Autocatalytic Chemical Reaction Model. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 01 Nisan 2017;21(1):165-72. doi:10.19113/sdufbed.24679

Cited By

Fractional Clique Collocation Technique for Numerical Simulations of Fractional-Order Brusselator Chemical Model

Axioms

https://doi.org/10.3390/axioms11110654