TY - JOUR
TI - Numerical computation of the time non-linear fractional generalized equal width model arising in shallow water channel
AU - Can Nguyen Huu
AU - Nikan Omid
AU - Rasoulizadeh Mohammad Navaz
AU - Jafari Hossein
AU - Gasimov Yusif S
JN - Thermal Science
PY - 2020
VL - 24
IS - 11
SP - 49
EP - 58
PT - Article
AB - The generalized equal width model is an important non-linear dispersive wave  model which is naturally used to describe physical situations in a water  channel. In this work, we implement the idea of the interpolation by radial  basis function to obtain numerical solution of the non-linear time  fractional generalized equal width model defined by Caputo sense. In this  technique, firstly, a time discretization is accomplished via the finite  difference approach and the non-linear term is linearized by a linearization  method. Afterwards, with the help of the radial basis function approximation  method is used to discretize the spatial derivative terms. The stability of  the method is theoretically discussed using the von Neumann (Fourier series)  method. Numerical results and comparisons are presented which illustrate the  validity and accuracy of our proposed concepts.