2016/01/14 by Susmita Paul, Sankar Prasad Mondal, Paritosh Bhattacharya · 57 citations
Mathematics · Medicine · #Fractional Differential Equations Solutions #Differential Equations and Numerical Methods #Mathematical and Theoretical Epidemiology and Ecology Models #Adomian decomposition method #Laplace transform #Runge–Kutta methods #Mathematics #Nonlinear system #Applied mathematics #Decomposition method (queueing theory) #Decomposition #Partial differential equation #Differential equation #Mathematical analysis #Physics #Ecology
paper · doi:10.1016/j.aej.2015.12.026
published in Alexandria Engineering Journal 55(1), 613-617 (Elsevier BV)
openalex publication_date 2016/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25
This paper reflects some research outcome denoting as to how Lotka–Volterra prey predator model has been solved by using the Runge–Kutta–Fehlberg method (RKF). A comparison between Runge–Kutta–Fehlberg method (RKF) and the Laplace Adomian Decomposition method (LADM) is carried out and exact solution is found out to verify the applicability, efficiency and accuracy of the method. The obtained approximate solution shows that the Runge–Kutta–Fehlberg method (RKF) is a more powerful numerical technique for solving a system of nonlinear differential equations .