Vieta–Lucas polynomials for solving a fractional-order mathematical physics model

Vieta–Lucas polynomials for solving a fractional-order mathematical physics model

Abstract In this article, a fractional-order mathematical physics model, advection–dispersion equation (FADE), will be solved numerically through a new approximative technique. Shifted Vieta–Lucas orthogonal polynomials will be considered as the main base for the desired numerical solution. These po...

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Bibliographic Details
Main Authors: P. Agarwal, A. A. El-Sayed
Format: Article
Language:English
Published: SpringerOpen 2020-11-01
Series:Advances in Difference Equations
Subjects:
Advection–dispersion equation of the fractional-order
Caputo fractional-order operator
Vieta–Lucas polynomials
Spectral collocation method
Nonstandard finite difference method
Online Access:http://link.springer.com/article/10.1186/s13662-020-03085-y

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http://link.springer.com/article/10.1186/s13662-020-03085-y

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