Browsing by Author "Alzaidy, J. F."

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    Citation - WoS: 20
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    Operational Matrix Approach for Solving the Variable-Order Nonlinear Galilei Invariant Advection-Diffusion Equation
    (Springer international Publishing Ag, 2018) Baleanu, D.; Alzaidy, J. F.; Hashemizadeh, E.; Zaky, M. A.
    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.