Legendre spectral collocation method for solving nonlinear fractional Fredholm integro-differential equations with convergence analysis

Legendre spectral collocation method for solving nonlinear fractional Fredholm integro-differential equations with convergence analysis

The main purpose of this work was to develop a spectrally accurate collocation method for solving nonlinear fractional Fredholm integro-differential equations (non-FFIDEs). A proposed spectral collocation method is based on the Legendre-Gauss-Lobatto collocation (L-G-LC) method in which the main ide...

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Bibliographic Details
Main Authors: A. H. Tedjani, A. Z. Amin, Abdel-Haleem Abdel-Aty, M. A. Abdelkawy, Mona Mahmoud
Format: Article
Language:English
Published: AIMS Press 2024-02-01
Series:AIMS Mathematics
Subjects:
legendre-gauss-lobatto
fractional fredholm integro-differential equation
caputo fractional derivative
convergence analysis
spectral method
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024388?viewType=HTML

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