A Novel 2-Stage Fractional Runge–Kutta Method for a Time-Fractional Logistic Growth Model
Joint Authors
Baleanu, Dumitru
Arshad, Muhammad Sarmad
Riaz, Muhammad Bilal
Abbas, Muhammad
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-10
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this paper, the fractional Euler method has been studied, and the derivation of the novel 2-stage fractional Runge–Kutta (FRK) method has been presented.
The proposed fractional numerical method has been implemented to find the solution of fractional differential equations.
The proposed novel method will be helpful to derive the higher-order family of fractional Runge–Kutta methods.
The nonlinear fractional Logistic Growth Model is solved and analyzed.
The numerical results and graphs of the examples demonstrate the effectiveness of the method.
American Psychological Association (APA)
Arshad, Muhammad Sarmad& Baleanu, Dumitru& Riaz, Muhammad Bilal& Abbas, Muhammad. 2020. A Novel 2-Stage Fractional Runge–Kutta Method for a Time-Fractional Logistic Growth Model. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1152772
Modern Language Association (MLA)
Arshad, Muhammad Sarmad…[et al.]. A Novel 2-Stage Fractional Runge–Kutta Method for a Time-Fractional Logistic Growth Model. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1152772
American Medical Association (AMA)
Arshad, Muhammad Sarmad& Baleanu, Dumitru& Riaz, Muhammad Bilal& Abbas, Muhammad. A Novel 2-Stage Fractional Runge–Kutta Method for a Time-Fractional Logistic Growth Model. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1152772
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152772