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- . u t = k ( u + u y y ) ; 0 0 , B . C . u ( 0 ,

$- .$

$u_{t} = k (u_{} + u_{y y})$ ; $00,$

$B . C . u (0, y, t) = T_{0}, u (l, y, t) = T_{l}$

$u (x, 0, t) = 0, u (x, l, t) = 0,$

I. $C .$ : $u (x, y, 0) = f (x, y)$

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Question

- . u t = k ( u + u y y ) ; 0 0 , B . C . u ( 0 ,

-. ut=k(u+uyy);00, B.C.u(0,y,t)=T0,u(l,y,t)=Tl u(x,0,t)=0,u(x,l,t)=0, I.C.:u(x,y,0)=f(x,y)

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$- .$

$u_{t} = k (u_{} + u_{y y})$ ; $00,$

$B . C . u (0, y, t) = T_{0}, u (l, y, t) = T_{l}$

$u (x, 0, t) = 0, u (x, l, t) = 0,$

I. $C .$ : $u (x, y, 0) = f (x, y)$