Can I solve my radial heat equation with lateral heat diffusion using the PDEPE function?

I am trying to solve a heat equation with radial symmetry. The geometry of the problem is cylindrical, with finite right and left boundary conditions. Although the heat diffusion is radial, I want to model heat leaks at the boundary edges. These heat leaks occur in the axial direction. I would like to use the PDEPE function to solve this type of equation.

Answer 1

[MathWorks Support Team]

Radial heat equation with lateral heat diffusion would be a BVP(Boundary Value Problem) in multiple dimensions, but PDEPE function solves boundary value problems in one dimension.

PDEPE is therefore not suited to this type of problem, as there are too many edge and boundary conditions to convert the PDE to one-dimensional. Approximating this PDE to be one-dimensional would force discontinuities at the boundary edges.

To work around this issue, use the PDE Toolbox to solve this initial-boundary value problem.