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Second kind Chebyshev collocation technique for Volterra-Fredholm fractional order integro-differential equations Taiye Oyedepo; A. A. Ayoade; I.K. Otaide; A. M. Ayinde
Journal of Natural Sciences and Mathematics Research Vol 8, No 2 (2022): December
Publisher : Faculty of Science and Technology, Universitas Islam Negeri Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/jnsmr.2022.8.2.13021

Abstract

In this work, we present the numerical solution of fractional order Volterra–Fredholm integro-differential equations using the second kind of Chebyshev collocation technique. First, we transformed the problem into a system of linear algebraic equations, which are then solved using matrix inversion to obtain the unknown constants. Furthermore, numerical examples are used to outline the method’s accuracy and efficiency using tables and figures. The results show that the method performed better in terms of improving accuracy and requiring less rigorous work.©2022 JNSMR UIN Walisongo. All rights reserved.