Solving PDE

  • Thread starter kgal
  • Start date
  • #1
43
0

Homework Statement



If utt - uxx= 1-x for 0<x<1, t>0
u(x,0) = x2(1-x) for 0≤x≤1
ut(x,)=0 for 0≤x≤1
ux(x,)=0
u(1,t)=0

find u(1/4,2)

Homework Equations





The Attempt at a Solution


I was thinking to make a judicious change of variables that not only converts the PDE to a homogenous PDE, but also makes the boundary conditions homogenous.
I am quite unsure how to even start this problem...
 

Answers and Replies

  • #2
96
3
Consider that the solution has the form: u(x,t)=v(x,t)+w(x). Can you find the boundary and initial conditions to make this problem simpler?
 

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