I wish to approximate the Laplace PDE in a 1/4 plane by truncation of the domain in (x,y) variables:(adsbygoogle = window.adsbygoogle || []).push({});

U_xx + U_yy = 0

Now the PDE is approximated in a box [0, xMax] X [0, yMax] and I can solve it using finite differences.

But the problems are:

1. How to choose xMAx, yMax appropriately

2. What boundary conditions (if any) at xMax, yMax

thanks

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# 2d Laplace equation in a 1/4 plane

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