Split ODE Problems
Mathematical Specification of a Split ODE Problem
To define a
SplitODEProblem, you simply need to give a two functions functions $f_1$ and $f_2$ along with an initial condition $u₀$ which define an ODE:
f should be specified as
f(u,p,t) (or in-place as
u₀ should be an AbstractArray (or number) whose geometry matches the desired geometry of
u. Note that we are not limited to numbers or vectors for
u₀; one is allowed to provide
u₀ as arbitrary matrices / higher dimension tensors as well.
Many splits are at least partially linear. That is the equation:
For how to define a function as linear, see the documentation for the DiffEqOperators.
f2: The functions in the ODE.
u0: The initial condition.
tspan: The timespan for the problem.
callback: A callback to be applied to every solver which uses the problem. Defaults to nothing.
mass_matrix: The mass-matrix. Defaults to