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Question: system of Partial differential equations with boundary conditions

Question:system of Partial differential equations with boundary conditions

tobsam 15 Maple
pdetools
July 19 2013
1

I tried using maple to solve the below system of Partial differential equations but itzz not jst coming out... any assistance will be appreciated (post the maple codes if used)

sys2 := -(diff(u(y, t), y, y)) + S*(diff(u(y, t), y)) + diff(u(y, t), t) + M.u(y,t) + (u(y,t)/k)-theta(y,t) = 0,
 -(diff(theta(y, t), y, y))/Pr + diff(theta(y, t), t) + S*(diff(theta(y, t), y)) = 0

The variables are... u(y,t) and theta(y,t)

The initial conditions are;

@ t > 0    u(0,t)=0, theta(0,t)=1
           u(1,t)=0, theta(1,t)=0

@ t <= 0   u(0,t)=0, theta(0,t)=1
           u(1,t)=1, theta(1,t)=0
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