Open AccessLeast-Squares Chebyshev Method for Solving Fractional Integro-diffrential Equations
Author(s) -
Oyedepo Taiye,
Aliyu A. Abdullahi,
Ishaq Adama Ajimati,
Adenipekun Adewale Emmanuel
Publication year - 2021
Publication title -
engineering and technology journal
Language(s) - English
Resource type - Journals
ISSN - 2456-3358
DOI - 10.47191/etj/v6i7.02
Subject(s) - mathematics , algebraic equation , chebyshev polynomials , chebyshev filter , maple , chebyshev equation , chebyshev iteration , numerical analysis , algebraic number , mathematical analysis , orthogonal polynomials , nonlinear system , classical orthogonal polynomials , physics , botany , quantum mechanics , biology
The main purpose of this study gears towards finding numerical solution to fractional integro-differential equations. The technique involves the application of caputo properties and Chebyshev polynomials to reduce the problem to system of linear algebraic equations and then solved using MAPLE 18. To demonstrate the accuracy and applicability of the presented method some numerical examples are given. Numerical results show that the method is easy to implement and compares favorably with the exact results. The graphical solution of the method is displayed.