Radial equation in cylindrical coordinates

Can it be solved by matlab? If yes then please tell me how can i proceed? I have to tried to solve this using finite difference method but don't know how to approach the phi part.

[darova]

Look into pdepe toolbox

[Torsten]

See whether Matlab's pde toolbox can help in your case.

If not, you will have to discretize the differential expressions on your own, incorporate the boundary conditions and solve the resulting system of equations using fsolve, e.g.