On the analysis and application of a spectral collocation scheme for the nonlinear two-dimensional fractional diffusion equation

On the analysis and application of a spectral collocation scheme for the nonlinear two-dimensional fractional diffusion equation

In this paper, we propose and analyze a novel spectral scheme for the numerical solution of a two-dimensional time-fractional diffusion equation. The proposed scheme approximates the unknown function and its derivatives in space by finite Lucas and Fibonacci polynomial expansion, and time derivative...

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Bibliographic Details
Main Authors: Ihteram Ali, Sirajul Haq, Manzoor Hussain, Kottakkaran Sooppy Nisar, Shams Ul Arifeen
Format: Article
Language:English
Published: Elsevier 2024-01-01
Series:Results in Physics
Subjects:
Diffusion equations
Lucas and Fibonacci polynomials
Caputo fractional derivative
Finite differences
Spectral scheme
Online Access:http://www.sciencedirect.com/science/article/pii/S221137972301015X

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http://www.sciencedirect.com/science/article/pii/S221137972301015X

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