Assignment:
Solve:
ut= k1 uxx + k2 uyy
on a rectangle (0
u(0 , y, t) = 0 uy = (x, 0, t) = 0
u(x, y, 0) = f(x,y)
u(L, y, t) = 0 uy = (x, H, t) = 0
Left and Right sides are kept at zero temp. top and bottom are insulated.
Provide complete and step by step solution for the question and show calculations and use formulas.