Numerical solution of differential equations

Numerical solution of differential equations involves using computational methods to approximate the behavior of systems described by these equations. Instead of finding exact formulas, which can be difficult or impossible for complex problems, numerical techniques break the problem into small steps. They calculate approximate values at each step, gradually building a solution over an interval. This approach is widely used in science and engineering to model real-world phenomena such as weather patterns, mechanical systems, and biological processes, providing useful insights when analytical solutions are unavailable or impractical.