Sixth-Kind Chebyshev Collocation Treatment of Fractional Fredholm-Volterra Integro-Differential Equations

Authors

Mahmoud M. Mokhtar, Department of Basic Science, Faculty of Engineering, Modern University for Technology and Information (MTI), El Mokattam, Cairo, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

We propose a spectral technique for solving mixed nonlinear and linear Fredholm-Volterra integro-differential equations. Our method involves transforming the problem using Simpson’s integration formula and expanding the solution as a series of sixth- kind Chebyshev polynomials. The convergence rate and estimated chopping error are analyzed, and numerical examples are provided to demonstrate the effectiveness and accuracy of the approach.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/170410

Recommended Citation

M. Mokhtar, Mahmoud (2023) "Sixth-Kind Chebyshev Collocation Treatment of Fractional Fredholm-Volterra Integro-Differential Equations," Applied Mathematics & Information Sciences: Vol. 17: Iss. 4, Article 10.
DOI: http://dx.doi.org/10.18576/amis/170410
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss4/10