Our algorithm uses two approximation schemes: (1) a deterministic series expansion-based method; (2) a Monte Carlo-based approximation based on the central limit theorem.
We use a PAM dynamic model derived using first principles modeling (for contraction, pressure, and air flow dynamics) and ANFIS-based approximation based on the experimental data for the muscle force function.
Finally, the numerical pressure drop results were compared to a simpler, one-dimensional approximation based on the Hagen Poiseuille equation.
After the local minima search is completed, each of the local minima is approximated by harmonic oscillator (approximation based on the potential energy hessian), and its natural frequencies are calculated.
To determine the distribution explicitly, we use Gaussian approximation based on the following Lemma 1 [28].
In this example, results show good approximation based on the Sinc collocation method.
In this work, an attempt to find an approximation based on the Brillouin function is undertaken.
Here, a linear approximation, based on the micro-mechanics analysis, is used.
The first approximation, based on the light-traffic behaviour, is in closed form.
Tc was then calculated by a mathematical approximation based on the non-linear least square.
The meshless approximation based on the moving least-squares (MLS) method is employed for the implementation.
