Value function approximation and collocation method

We continue to change the functional form of approximation. We set:

yesterday. In addition,

that is a generalized rational function with a constant in front. This also fits well.

The number of porder is 2, 3, 4,. . ., and 9 or so.

The following special functions:

Gompertz'growth model: with constant coef1 in front

Sigmoid logistic: with constant coef1 in front

are tried but not completely fit.