Operational matrix approach for solving the variable-order nonlinear Galilei invariant advection–diffusion equation

Abstract In this paper, we investigate numerical solution of the variable-order fractional Galilei advection–diffusion equation with a nonlinear source term. The suggested method is based on the shifted Legendre collocation procedure and a matrix form representation of variable-order Caputo fraction...

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Bibliographic Details
Main Authors: M. A. Zaky, D. Baleanu, J. F. Alzaidy, E. Hashemizadeh
Format: Article
Language:English
Published: SpringerOpen 2018-03-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-018-1561-7