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Defines an Defines a steady state ODE problem. Documentation Page:
https://diffeq.sciml.ai/stable/types/steadystatetypes/
Mathematical Specification of a Steady State Problem
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To define an Steady State Problem, you simply need to give the function f which defines the ODE:
\frac{du}{dt} = f(u,p,t)
and an initial guess u_0 of where f(u,p,t)=0. f should be specified as f(u,p,t) (or in-place as f(du,u,p,t)), and 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.
Note that for the steady-state to be defined, we must have that f is autonomous, that is f is independent of t. But
the form which matches the standard ODE solver should still be used. The steady state solvers interpret the f by
fixing t=0.
solve result is not same as document description, “The steady state solvers interpret the f by fixing t=0.”