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Browsing by Author "Hashemizadeh, E."

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    Citation Count: Zaky, M. A...et al. (2018). "Operational matrix approach for solving the variable-order nonlinear Galilei invariant advection-diffusion equation", Advances in Difference Equations.
    Operational matrix approach for solving the variable-order nonlinear Galilei invariant advection-diffusion equation
    (Springer International Publishing AG, 2018) Zaky, M. A.; Baleanu, Dumitru; Alzaidy, J. F.; Hashemizadeh, E.; 56389
    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 fractional derivative. The main advantage of the proposed method is investigating a global approximation for the spatial and temporal discretizations. This method reduces the problem to a system of algebraic equations, which is easier to solve. The validity and effectiveness of the method are illustrated by an easy-to-follow example.