Computes, from experimental data,
vectors X and Y, the parameters, P, of a given function,
y = y(x; C, P), with constant(s) C.
The total residual (sum of absolutes) is minimized via the Nelder-Mead
(NM) algorithm.
In this plate, the problem is (super-)absorption:
'Data X', time (x, min);
'Data Y', fraction swelling (y);
'constant(s)', particle diameter (m); and
'parameters', P = (xF, .kF,
.kR), i.e., Fickian diffusion weight,
Fickian diffusion rate, and relaxation rate. (For the base problem,
a final residual of ~0.05 is expected.)
The graph shows: (red) the experimental points connected
by a broken line; and (green) the corresponding computed points. |
• Berens, A. R.,
H. B. Hopfenberg, 1978, "Diffusion and relaxation in glassy polymer powders:
2. Separation of diffusion and relaxation parameters", Polymer,
19(5):489–496.
(Google: A. R. Berens H. B. Hopfenberg 1978 Polymer)
• Wikipedia: Nelder-Mead method
• 1713-05-07:
Clairaut, Alexis Claude (1765-05-17). |
