Space-Time Spectral Collocation Algorithm for the Variable-Order Galilei Invariant Advection Diffusion Equations with a Nonlinear Source Term

Space-Time Spectral Collocation Algorithm for the Variable-Order Galilei Invariant Advection Diffusion Equations with a Nonlinear Source Term

This paper presents a space-time spectral collocation technique for solving the variable-order Galilei invariant advection diffusion equation with a nonlinear source term (VO-NGIADE). We develop a collocation scheme to approximate VONGIADE by means of the shifted Jacobi-Gauss-Lobatto collocation (S...

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Bibliographic Details
Main Authors: Mohamed A. Abd-Elkawy, Rubayyi T. Alqahtani
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2017-01-01
Series:Mathematical Modelling and Analysis
Subjects:
variable-order Galilei invariant advection diffusion equation
fractional calculus
collocation method
Gauss-Radau quadrature
Gauss-Lobatto quadrature
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/869

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https://journals.vgtu.lt/index.php/MMA/article/view/869

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