Runge-Kutta-Fehlberg method

The Runge-Kutta-Fehlberg method is a technique used to solve complex differential equations numerically, meaning it helps approximate solutions when exact answers are difficult. It estimates the solution by taking careful, calculated steps, checking how accurate the prediction is at each point. If the estimate isn't precise enough, it adjusts the step size to improve accuracy without wasting effort. This makes the method efficient and reliable for solving problems that change gradually or quickly over time, commonly used in engineering, physics, and other sciences to model dynamic systems smoothly.