Numerical solution of fractional advection-diffusion equation with generalized Caputo derivative using shifted ultraspherical collocation method

In this article, we develop an approximate technique for solving a fractional advection-diffusion equation with a generalized Caputo derivative via a finite difference scheme. This technique employed the properties of shifted ultraspherical polynomials, which combine the finite difference scheme fo...

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Bibliographic Details

Main Authors:	Kazeem Issa, A. T. AbdulKareem, A D. Adeshola, R. A. Bello
Format:	Artigo
Language:	Inglês
Published:	Nigerian Society of Physical Sciences 2026-05-01
Series:	Journal of Nigerian Society of Physical Sciences
Subjects:	Ultraspherical collocation method Generalized Caputo Fractional Derivative (GCFD) Shifted ultraspherical polynomial Fractional advection-diffusion equation Finite difference scheme
Online Access:	https://journal.nsps.org.ng/index.php/jnsps/article/view/2986
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