![]() y is an unknown function of time t, which may be scalar or vector quantity.Let’s consider an initial value problem given as: This tutorial focuses on writing a general program code for Runge-Kutta method in MATLAB along with its mathematical derivation and a numerical example. In earlier tutorial, we’ve already discussed a C program for RK4 method. Based on the order of differential equation, there are different Runge-Kutta methods which are commonly referred to as: RK2, RK3, and RK4 methods. Kutta, this method is applicable to both families of explicit and implicit functions.Īlso known as RK method, the Runge-Kutta method is based on solution procedure of initial value problem in which the initial conditions are known. Developed around 1900 by German mathematicians C.Runge and M. Runge-Kutta method is a popular iteration method of approximating solution of ordinary differential equations.
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