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If boundary conditions are:
on the left bound
; on the right bound
;
Initial condition is T(x,0)=300K
Obtain temperature distribution on each moment of time and each point of the dimension space(t0=0, tf=150 sec).
This simple form of the heat conduction equation is usually solved using the product approach T(t,x) = u(tau)*v(x). This results in an ordinary differential equations for u(tau) and v(x). These are easy to solve.
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