I have trying solving this PDE for some random boundary values, and were wondering if someone could verify my calculations?
\[
\begin{array}{l}
T_t = DT_{xx} \\
T\left( {0,t} \right) = 0,T(\pi ,t) = 0,T(x,0) = \frac{1}{4}\left( {\left( {x - \frac{\pi }{2}} \right)^2 + \frac{{\pi ^2...