Explicit collocation algorithm for the nonlinear fractional Duffing equation via third-kind Chebyshev polynomials

Herein, we propose an accurate algorithm to approximate the solution of the nonlinear fractional-order Duffing equation (NFDE). The algorithm is based on using shifted Chebyshev polynomials of the third-kind as basis functions and the spectral collocation method as a solver. We study the error analy...

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Bibliographic Details
Published in:	Iranian journal of numerical analysis and optimization Vol. 15; no. Issue 2; pp. 655 - 675
Main Authors:	Y.H. Youssri, A.G. Atta, M.O. Moustafa, Z.Y. Abu Waar
Format:	Journal Article
Language:	English
Published:	Ferdowsi University of Mashhad 01.06.2025
Subjects:	chebyshev polynomials convergence analysis nonlinear fractional-order duffing equation spectral methods
ISSN:	2423-6977, 2423-6969
Online Access:	Get full text
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