What initial handle(s) do I use to correctly solve the Heat/Diffusion PDE?

What initial handle(s) do I use to correctly solve the Heat/Diffusion PDE, for example? Should I use 'function parabolic', or '@function parabolic'? Also, how do I define my PDE(s)? In the videos and tutorials, the definition/handle 'pdepe1/pdepex1' etc. is used for the Heat/Diffusion PDE! I think that I need to define my own unique/ambigous equation, even for the given example, but not quite certain how to achieve this.

Not quite sure about these commands and definitions at present.

Please do offer any suggestions.

Steve

Answer 1

[Alan Weiss]

In 2-D geometry, if you have PDE Toolbox, you can use the parabolic solver. For examples, see Inhomogeneous Heat Equation on a Square Domain or Solving a Heat Transfer Problem With Temperature-Dependent Properties.

Alan Weiss

MATLAB mathematical toolbox documentation