Numerical differential equations studies the methods for finding numerical approximations to the solutions of differential equations, occur in many scientific disciplines, for instance in physics, chemistry, biology, and economics. Because of its various applications, this is often viewed as a discipline in and of itself. In this paper we develop a numerical simulator for solving ordinary differential equations (ODEs). This simulator is incorporated with a combination of Euler, modified Euler and Runge-Kutta second and fourth order methods.
