How do i evaluate the convergence

  • Thread starter supercali
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  • #1
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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%?
 
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  • #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.
 
  • #3
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.
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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