sturm-liouville PDE: ut - uxx = h(x,t) w/ 0 < x < pi, t > 0

[BrainMan]

What's the solution to this PDE:

ut - uxx = h(x,t)
with 0 < x < pi and t > 0

ux(0,t) = F(t), u(pi,t) = G(t), u(x,0) = f(x)

 

[Deleted member 4993]

Re: sturm-liouville PDE

What's the solution to this PDE:

ut - uxx = h(x,t)
with 0 < x < pi and t > 0

ux(0,t) = F(t), u(pi,t) = G(t), u(x,0) = f(x)

Please show us your work, indicating exactly where you are stuck - so that we know where to begin to help you.