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.