I am trying to write an explicit method solver for a nonlinear reaction-diffusion equation with logistic growth. Since dolfinx NewtonSolver is an implicit solver, I would like to implement such a solver for myself, but an explicit one.

I have looked at all the demos on the dolfinx website, but unfortunately there is no such example that I can use as a guide. I derived the variational formulation and the matrix representation of the problem already but I am struggeling with implementing in Python.If there are any examples of this problem, please let me know.