Title
On the solutions of fractional Swift Hohenberg equation with dispersion
Abstract
In this article, the approximate solutions of the non-linear Swift Hohenberg equation with fractional time derivative in the presence of dispersive term have been obtained. The fractional derivative is described in Caputo sense. Time fractional nonlinear partial differential equations in the presence of dispersion and bifurcation parameters have been computed numerically to predict hydrodynamic fluctuations at convective instability for different particular cases and results are depicted through graphs.
Year
DOI
Venue
2013
10.1016/j.amc.2012.12.032
Applied Mathematics and Computation
Keywords
Field
DocType
hydrodynamic fluctuation,convective instability,fractional derivative,approximate solution,fractional nonlinear partial differential,fractional swift hohenberg equation,fractional time derivative,dispersive term,different particular case,bifurcation parameter,caputo sense,residual error,homotopy analysis method
Dispersion (optics),Mathematical optimization,Nonlinear system,Mathematical analysis,Swift–Hohenberg equation,Time derivative,Fractional calculus,Homotopy analysis method,Partial differential equation,Mathematics,Bifurcation
Journal
Volume
Issue
ISSN
219
11
0096-3003
Citations 
PageRank 
References 
2
0.40
8
Authors
4
Name
Order
Citations
PageRank
K. Vishal181.24
S. Das220.40
S. H. Ong357046.58
P. Ghosh420.40