Ordinary Differential Equations

Ordinary Differential Equations (ODEs) are fundamental in modeling dynamic systems across various fields of engineering and science. They describe how a quantity changes with respect to another, typically time. In SepalSolver, we implement numerical methods to solve ODEs, enabling engineers to simulate and analyze complex systems.

ODEs appear in numerous applications, such as mechanical vibrations, electrical circuits, population dynamics, and chemical reactions. By solving these equations numerically, we can predict system behavior, optimize performance, and design control strategies.

In this chapter, we will explore different numerical methods for solving ODEs, their implementations in SepalSolver, and practical examples demonstrating their applications.