Numerical methods for ordinary differential equations (ODEs) are used to solve initial-value problems (IVPs), which involve finding a solution to a differential equation given an initial condition.
Error and Order
Consider a numerical approximation of an exact value
The order of a numerical method is not related to the order of an ODE it tries to solve
Methods
First-order
Second-order
Fourth Order
See Also
- numerical integration - Computation of integrals using numerical methods