Author(s):
1. Mehnaza:
Department of Mathematics, Women University Mardan, Pakistan
Abstract:
Numerical Analysis of Non-Linear Propagation of Ion-Acoustic Waves in Plasma Physics Modeled By Fractional Gardner Equation Mehnaza Department of Mathematics, Women University Mardan, Pakistan This work is aimed to apply radial basis function collocation method to generalized time fractional Gardner equation which modelnon-linear propagation of ion-acoustic waves in Plasma Physics. This method is meshless and easy-to-implement in complex geometries and higher dimensions, due to which itis highly demanding. The Caputo fractional derivative is used to approximate the first order time derivative while the Crank-Nicolson scheme is used for the approximation of space derivatives. The numerical results are presented to demonstrate that the method is effective and accurate. Numerical results are plotted for different fractional order as well for classical case to show the advantage of using fractional derivative.
Page(s):
181-181
DOI:
DOI not available
Published:
Journal: Abstract Book on International Conference on Food and Applied Sciences (ICFAS-23) 3-5 August 23, Volume: 0, Issue: 0, Year: 2023
Keywords:
radial basis functions
,
Caputo fractional derivative
,
ionacoustic waves
,
CrankNicolsonscheme
,
time fractional Gardner equation
References:
References are not available for this document.
Citations
Citations are not available for this document.