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Research Article

A block-by-block approach for nonlinear fractional integro-differential equations

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Pages 2140-2155 | Received 27 Oct 2022, Accepted 24 Sep 2023, Published online: 05 Oct 2023
 

Abstract

In this paper, a block-by-block scheme is proposed for a class of nonlinear fractional integro-differential equations. This method is based on the Gauss–Lobatto numerical integration method, which shows the high accuracy at all time intervals. Also, the method convergence for this type of equations is proved and it is shown that the order of convergence is at least eight. Finally, the high accuracy, fast calculations and good performance of the method are investigated by solving some numerical examples.

Maths Classification:

Disclosure statement

No potential conflict of interest was reported by the author(s).

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