How do i evaluate the convergence

[supercali]

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%?

 

[ChaseRLewis]

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.

 

[ChaseRLewis]

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.