TASK:

Task $2($PDE Modeler$)$ Solve the problem using the PDE Modeler in Mat$-$

lab. Export mesh $(p,e,t)$ and solution $(u,1)$ to the Matlab prompt. Pick one

of the simple eigenvalues. Evaluate the exact solution $(u)$ in the nodes $($coordi$-$

nates are stored in $p)$ and plot the error in the approximation. Try to do the

same for a multiple eigenvalues. Is the error still small? Why$/$why not?

Hint: Use pdesurf $(p,t,$uex$-u$ or the pdeplot command.