Numerical solution of fractional diffusion equation by Chebyshev collocation method and residual power series method

In this paper, we propose an efficient Chebyshev collocation scheme to solve diffusion problem including time fractional diffusion equation considering the fractional derivative in the Liouville-Caputo sense. By making use of shifted Chebyshev polynomial series and their orthogonality properties, th...

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Bibliographic Details

Published in:	Alexandria Engineering Journal
Main Authors:	Mine Aylin Bayrak, Ali Demir, Ebru Ozbilge
Format:	Article
Language:	English
Published:	Elsevier 2020-12-01
Subjects:	Chebyshev collocation method Fractional diffusion equation Caputo fractional derivatives Residual power series method
Online Access:	http://www.sciencedirect.com/science/article/pii/S111001682030421X