I have the following (fairly simple) boundary value problem and I am trying to find an analytical solution to it, but for the life of me it's not working out. This is part of a larger thing where I'm trying to understand FEM and BVPs. Essentially this is a diffusion reaction problem.(adsbygoogle = window.adsbygoogle || []).push({});

My problem is I have the following (π=pi)

v-kv''=f(x)=sin(πx), x is between 1 and 2

v@x=0 = 0 and v@x=1 = 0

I have some plots but they are not matching my analytical solution (I think my brain has just broken tonight), but if anyone can steer me right I'd be grateful.

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# Analyitical solution to function and second deritive of function

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