TAU-COLLOCATION APPROACH FOR SOLVING FRACTIONAL INTEGRODIFFERENTIAL EQUATIONS

Abstract

This work is motivated by the desire to cover the gap in the literature by seeking the numerical solutions to fractional integro-differential equations using the class of orthogonal polynomials called “the Mamadu-Njoseh polynomials” as trial solutions, using the Tau-Collocation method. We considered the Tau-Collocation method for solving the fractional Integrodifferential equation (FIDE) (Caputo-sense) with aid of Mamadu-Njoseh and Chebyshev polynomials. Numerical examples solved via MAPLE 18
showed that the Tau-Collocation method is an excellent solver of fractional integro-differential equations. Also, the absolute convergence of the method shows the effectiveness of Mamadu-Njoseh and Chebyshev orthogonal polynomials as basis functions for the fractional integrodifferential equations.