A Novel 2-Stage Fractional Runge–Kutta Method for a Time-Fractional Logistic Growth Model

Muhammad Sarmad Arshad, Dumitru Baleanu, Muhammad Bilal Riaz, Muhammad Abbas and Qasem M. Al-Mdallal

Discrete Dynamics in Nature and Society, 2020, vol. 2020, 1-8

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:1020472

DOI: 10.1155/2020/1020472

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