Solution of Parabolic Partial Differential Equations for Heat Transfer

Example 6.3 Two-Dimensional Parabolic Partial Differential Equation for Heat Transfer. Write a general MATLAB function to determine the numerical solution of the parabolic partial differential equation 

Numerical Solution of Partial Differential Equations Chapter 6 

Method of Solution The explicit formula (6.66) is used for the solution of this problem  

The value of the time increment At for a stable solution is calculated from Eq. (6.72)  

When Neumann or Robbins conditions are specified, for example, (for Neumann condition 

---