Shooting Method

A numerical approach for solving boundary value problems (BVPs) for ordinary differential equations by converting the BVP into one or more initial value problems (IVPs) and iteratively adjusting unknown initial conditions until the solution meets the boundary conditions.

A numerical technique for two-point boundary value problems that treats unknown boundary data as parameters, integrates an initial-value problem from one boundary, and adjusts the parameters (via root-finding or optimization) so the solution satisfies the other boundary condition.