Journal of Applied and Computational Mechanics
Dynamically Consistent NSFD Methods for Predator-prey System
Document Type : Research Paper
Authors
1 Department of Mathematics, Faculty of Science University of Maragheh, Maragheh, Iran
2 Department of Mathematics, Faculty of Science University of Maragheh, Maragheh, Iran
Abstract
In this paper, we introduce two nonstandard finite difference (NSFD) methods for solving the mathematical model of the Rosenzweig-MacArthur predator-prey system. These new proposed numerical methods have important features such as positivity and elementary stability. Numerical comparisons between the proposed methods and the other methods such as second-order and forth order Runge-Kutta methods (we refer them RK2 and RK4, respectively), Euler method, and NSFD method presented in [6] indicate that the new methods have better accuracy and convergence.
Keywords
Main Subjects
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