What is the concept of ordinary differential equations in Numerical Analysis?

What is the concept of ordinary differential equations in Numerical Analysis?

In Numerical Analysis, ordinary differential equations (ODEs) refer to equations that involve an unknown function and its derivatives. These equations describe the relationship between the function and its derivatives, and are typically used to model various physical, biological, and engineering phenomena. The concept of ODEs in Numerical Analysis involves developing numerical methods and algorithms to approximate the solutions of these equations, as exact solutions are often difficult or impossible to obtain analytically. These numerical methods involve discretizing the domain and approximating the derivatives, allowing for the computation of approximate solutions to the ODEs.