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MathGroup Archive 2011

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PDE

  • To: mathgroup at smc.vnet.net
  • Subject: [mg122822] PDE
  • From: elos <marusik_92 at inbox.ru>
  • Date: Fri, 11 Nov 2011 04:56:42 -0500 (EST)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com

Hello, how to solve the differential equation of second order partial(PDE)
 U_ {t} = U_ {xx}-U + g (x, t))
DATA:
 initial conditions: U | (t=0) =e^x
 boundary conditions: -U_{x}+U |(x=0)= \psi1
                                    U_{x}+U |(x=/pi}=\psi2
And
g (x, t) = e ^ {t + x}
f (x) = e_ {x}
\ psi1 = 0
\ psi 2 = 2e ^ {\ pi + t}
U (x, t) = e_ {t + x}
I have a versionhow to begin solving but I think it is incorrect:
U [x, t] == â??â??U '[t] - U''[x] - e ^ t + x
D [U [t], {x, 2}]
I will be grateful for the any help.



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