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(Solved): Find U(\xi ,\tau ) given the non-dimensional diffusion equation (del^(2)U)/(del\xi ^(2))=(delU)/(del ...



Find

U(\xi ,\tau )

given the non-dimensional diffusion equation

(del^(2)U)/(del\xi ^(2))=(delU)/(del\tau ),0<=\xi <=1,\tau >=0

with boundary conditions

U(0,\tau )=0

and

U(1,\tau )=0

, and initial condition

U(\xi ,0)=4(\xi -\xi ^(2))

.



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