I'm looking for the way to substitute variables in interpolated function again to original one.
(I want to know how to get P(r, theta) from Psol(v, w).)
The original variables :
r , theta (d<=r<=Infinity, 0<=theta<=Pi).
New variables :
v , w (0<=v<=1, 0<=w<=1).
The relationship is
.
I now have the interpolated solution Psol(v, w). Psol(v,w) has no analytic expression, and was interpolated from numerical calculation.
The final goal is to get P(r=d), after angle-averaging the P(r,theta)
.
I want to know how to get P(r, theta) from Psol(v, w) using above variable-to-variable relationship.
May I have your advice?
Thanks in advance.
Psol
with the expressions you have? Your question could be a bit more concrete; we don't even know what your "interpolated solution" looks like. $\endgroup$ – J. M.'s ennui♦ Aug 8 '12 at 5:06