i do have a PDE which describes sedimentation. I do discretize it in space and end up with a system of ode´s. Fairly simple.
Now i use the same PDE (settling of particles) inside a syringe (no particles leave the syringe) and move the piston (pressure filtration). Therefore i do have a moving boundary at the piston. So i have to solve for the piston height too. One boundary is in fact an algebraic equation.
The system looks like solving for the piston height:
My question is if i can use dde23 here or not ? I do have a published method with euler timestepping and i would like to use the comfort of a variable time stepping routine. ode23 works well for the simple cases with MOL.