IMEX scheme using DifferentialEquations.jl

I have a PDE model which contains a stiff viscous term and non-stiff nonlinear convection term. I was wondering if I can exploit the pre-developed solvers in DifferentialEquations.jl to solve the pde (or system of odes after FD discretization) after splitting the problem to 2 part as follows:


I want to solve f(u) with an explicit solver and g(u) with an implicit one. Is that possible, or I should write the integration algorithm myself? ?