Periodic solution to a forced oscillator ODE

[ChrisRackauckas]

@xor0110

How can I enforce the periodic solution constraint, though?

BVProblem, since that’s a boundary value problem.

@photor

For me, I would use spectral expansion in the time direction, and then it’s turned into a set of algebraic equations.

That can work in this specific case but it’s not generally stable.

@xor0110

can I actually approach this with some custom method, just solving a big non-linear system for instance, and not really relying on DifferentialEquations.jl at all?

That’s what a BVP solver will do, the MIRK methods in BoundaryValueDiffEq, plus a bit of adaptivity.