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

Taiye Oyedepo (Federal College of Dental Technology and Therapy, Enugu)
A. A. Ayoade (University of Lagos, Lagos)
I.K. Otaide (Edwin Clark University, Kiagbodo)
A. M. Ayinde (University of Abuja, Abuja)

Journal of Natural Sciences and Mathematics Research
Vol 8, No 2 (2022): December

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.