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PDE problem : diffusion equation! help! 
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#1
Sep2706, 07:02 PM

P: 64

Hi all,
I am stuggling with this question ... so far i have only tried part (a), but since i can't see how to do that so far... :( ok so what to do... do we first look at an 'associated problem' ? ... something like lol, this stuff is all quite confusing Sarah 


#2
Sep2706, 09:24 PM

P: 64

hmm ok i tryed some more and i come up with this answer:
however i don't know how to simplify it from here, i have looked up integral tables and still no luck. any suggestions guys? lol assuming the answer is right in the first place! :P cheers sarah 


#3
Sep2806, 05:48 PM

P: 1,439

i think you can solve these by separation of variables that is
assume u(x,t) is a product of two functions  one which depends on x, and one which depends on t maybe something like this u(x,t) = F(x) G(t) and solve from there your text should give a description of doing such a problem... 


#4
Sep2906, 01:57 AM

P: 64

PDE problem : diffusion equation! help!
hmm i can't seem to get seperation of variables to work... what do you reckon for part (b)?



#5
Sep2906, 02:29 AM

P: 1,157

For part (b), you need to reduce the nonhomogenous boundary condition problem to a homogeneous one.



#6
Sep2906, 03:14 AM

P: 64

also, what do you think of my answer for part (a)? 


#7
Sep2906, 04:11 AM

P: 64

hmm ok let me see.. what about if we let w(x,t) = exp(x)
then u(x,t) = w(x,t) + v(x,t) then v(x,t) satifies: so then we have to solve that pde problem? :S 


#8
Sep3006, 11:09 PM

P: 64

its cool guys i worked it out! :D yay



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