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How do i evaluate the convergence

  1. Jan 26, 2013 #1
    got fourier series as a result of solving a PDE. how do i evaluate the converg. using average error in order to determine the # of terms needed for it to converge to less than X%?
    Last edited by a moderator: Feb 4, 2013
  2. jcsd
  3. Feb 8, 2013 #2
    Well brute force is Solve with n vars then solve with n+1 vars and compare |n-(n+1)|/|n+1| once that is less than X% difference you can do that. Since each individual component should have less value towards the total solution than the previous one.
  4. Feb 9, 2013 #3
    oops was thinking about this I mistyped it's |f(n)-f(n+1)|/|f(n+1)| where f is your pde function and n equivalent to the number of components. meant that before but was rushing.
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