Such model constituted the base geometry for numerical models analyzed in the following phase.
While scientists and mathematicians of the day typically used computers strictly for numerical calculations, like analyzing weapons trajectories or seeking prime factors of huge numbers, his fascination was with non-numerical computations — what soon became known as artificial intelligence.
One of the simplest in the manufacture, but at the same time, quite effective T-shaped micromixer was used for numerical investigation and analyzing the mixing quality and flow regimes as well as the influence of different fluids properties on this parameters.
Moreover, the method is applied to elliptic equations to examine its appropriateness, numerical results are compared to that obtained from other (meshless) methods, and influence factors of accuracy for numerical solutions are analyzed.
Numerical methods employed were analyzed for numerical dispersion and oscillation.
It is also the foundation for numerical algorithms that seek to analyze system behavior in ways that go beyond simulation.
In this approach, truncated modified generalized Laguerre polynomials (MGLP) together with the modified generalized Laguerre operational matrix of Caputo fractional derivatives are analyzed and applied for numerical integration of such equations subject to initial conditions.
AB wrote the Matlab code for numerical integration, carried out the simulations, and analyzed the resulting data.
Mr. Bellman has used the theory of dynamic programming to formulate, analyze, and prepare these processes for numerical treatment by digital computers.
Obtained results can serve as a benchmark for other numerical procedures for analyzing transverse vibration of axially functionally graded beams.
