A Novel 2-Stage Fractional Runge-Kutta Method for a Time-Fractional Logistic Growth Model
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Ltd
Open Access Color
GOLD
Green Open Access
No
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Top 10%
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Abstract
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.
Description
Abbas, Dr. Muhammad/0000-0002-0491-1528; Arshad, Muhammad Sarmad/0000-0001-8223-8183
Keywords
Economics, Logistic function, Euler's formula, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, Differential equation, Numerical Methods for Singularly Perturbed Problems, Nonlinear programming, Machine learning, QA1-939, FOS: Mathematics, Fractional programming, Stability (learning theory), Runge–Kutta methods, Biology, Anomalous Diffusion Modeling and Analysis, Order (exchange), Numerical Analysis, Time-Fractional Diffusion Equation, Physics, Statistics, Fractional calculus, Paleontology, Applied mathematics, Computer science, Fractional Derivatives, Modeling and Simulation, Physical Sciences, Nonlinear system, Fractional Calculus, Mathematics, Stage (stratigraphy), Finance, Fractional ordinary differential equations, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
Fields of Science
01 natural sciences, 0103 physical sciences, 0101 mathematics
Citation
Arshad, Muhammad Sarmad...et al. (2020). "A Novel 2-Stage Fractional Runge-Kutta Method for a Time-Fractional Logistic Growth Model", Discrete Dynamics in Nature and Society, Vol. 2020.
WoS Q
Q3
Scopus Q
Q2
OpenCitations Citation Count
32
Source
Discrete Dynamics in Nature and Society
Volume
2020
Issue
Start Page
1
End Page
8
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CrossRef : 21
Scopus : 38
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Mendeley Readers : 7
SCOPUS™ Citations
39
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Web of Science™ Citations
32
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2
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