Solving Differential Equations Using The Runge-Kutta Method

Zainab Talib  Majeed

Zainab Talib Majeed Islamic Azad University, Shiraz Branch

Keywords: Problems, Ordinary Differential Equations, Fourth-Order Runge Kutta Method

Abstract

Differential equations have a wide-ranging impact on many disciplines, including physical sciences, engineering, economics, weather modeling, systems theory, and biology. The importance of this research is highlighted by the use of the fourth-order Runge-Kutta method in MATLAB and its comparison with traditional methods for solving fourth-order differential equations. Runge Kutta method and MATLAB. The study showed that the MATLAB method is effective and has a high degree of mathematical independence. The MATLAB code is similar to the fourth-order Runge-Kutta technique, and the use of this software in the research provides significant added value compared to traditional manual methods in terms of accuracy, speed, and performance efficiency.

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