One-dimensional simulation

The aim of this work is to present numerical treatments to a complex order fractional nonlinear onedimensional problem of Burgers’ equations. A new parameter rt is presented in order to be consistent with the physical model problem. This parameter characterizes the existence of fractional structures in the equations. A relation between the parameter rt and the time derivative complex order is derived. An unconditionally stable numerical scheme using a kind of weighted average nonstandard finitedifference discretization is presented. Stability analysis of this method is studied.

11p dayhoctainha 10-09-2020 17 0   Download