I want to do an analysis on 1-D device of organic perovoskite material.
I have the equations but I can solve keeping the electric field constant over the device but I wanted to analyze for non-uniform electric Field distribution.
From your question I gather that you like to solve for the for an electric field using poissons equation. However, continuity equation is more or less generic. To my knowledge there are two equations that are called continuity equation. One considers the conservation of charge and the other conservation of mass (fluid flow).
if you can provide more information on the details of your problem, it my be easier to help.
Also, in what way is the e field non-uniform? Do you mean a transiently changing field or a spatially varying field. The latter might be achieved by applying dirichlet boundary conditions in appropriate locations. The first might be achieved, if you make the boundary conditions functions of time.
I am a student of solid state device physics and my criteria is basically to analyze the electric field distribution over a semiconductor with respect to shining photons.
Now for the device analysis I have to solve a dynamic Poissons equation which has the concentration of holes and electrons followed by trapped carriers.
There are 5 coupled equations which I have to solve and also I have to model a design with respect to the geometry in my case it is 1-Dimensional. However, the problem that I encounter mostly with the boundary conditions and also smoothing the graphs so that they give comprehensible and justified profiles.