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Application of Runge – Kutta Method to Population Equations

Abstract: In this paper, we implement the second order Runge – Kutta method for three different population initial value problems. The Runge – Kutta method is a numerical technique used to solve the approximate solution for initial value problems for ordinary differential equations. Runge – Kutta method is implemented to linear population equation, non-linear population equation and non-linear population equation with an oscillation. The method of solving three initial value problems is implemented using Python Programming. Keywords: Differential equation, Runge – Kutta method, Discrete interval, Population equation, Non-linear population equation, Oscillation, Python.