The maximum global relative error (on a log scale) among all of the species (global error of two species) for ODEs of the genetic network of the toggle switch decreases approximately linearly with the log of the number of hat functions. These results are based on the comparison with the ARK method (with absolute and relative errors for ARK are equal to

$1\times{10}^{-13}$). Different numbers of hat functions (

$1\times{10}^{2}$,

$1\times{10}^{3}$,

$1\times{10}^{4}$,

$1\times{10}^{5}$,

$1\times{10}^{6}$, and

$1\times{10}^{7}$) over the solution interval

$[0~10]$ are used.