Solving a Heat Equation
Solve the following PDE: du/dt = d^2u / dx^2 (note: partial derivatives), u(x, 0) = sin^2(x), u(0, t) = 0, u(Pi, t) = 0, 0 < x < Pi Repeat for the following initial condition: du/dt (x, 0) = sin^2(x) (note:partial derivatives), 0 < x < Pi