Second kind Chebyshev collocation technique for Volterra-Fredholm fractional  order integro-differential equations

Taiye Oyedepo; A. A. Ayoade; I.K. Otaide; A. M. Ayinde

doi:10.21580/jnsmr.2022.8.2.13021

Second kind Chebyshev collocation technique for Volterra-Fredholm fractional order integro-differential equations

* - Federal College of Dental Technology and Therapy, Enugu, Nigeria

- University of Lagos, Lagos, Nigeria

- Edwin Clark University, Kiagbodo, Nigeria

- University of Abuja, Abuja, Nigeria

(*) Corresponding Author

DOI: 10.21580/jnsmr.2022.8.2.13021

Abstract
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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.

Keywords: Approximate solutions; Bernstein collocation technique; Caputo derivative; fractional order integro-differential equations; Volterra-Fredholm

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