MATLAB Implementation of Runge-Kutta Method

Resource Overview

Runge-Kutta method source code for solving differential equations or systems of differential equations, serving as a reference for beginners with implementation insights.

Detailed Documentation

In this article, we introduce the source code implementation of the Runge-Kutta method, which can be used to solve ordinary differential equations or systems of differential equations. This code serves as a learning reference for beginners, helping them understand fundamental concepts of differential equations and solution methodologies. The implementation typically involves defining the differential equation function, setting initial conditions, and iterating through the Runge-Kutta stages (commonly 4th-order with k1-k4 calculations) to approximate solutions at discrete time steps. Notably, the Runge-Kutta method is a numerical technique widely applied to practical problems in economics, physics, and engineering. Learning to implement this method provides valuable insights into both theoretical foundations and practical applications of differential equation solving.