Least Squares Bernstein Method for Solving Fractional Integro- Differential Equations
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Date
2022
Journal Title
Journal ISSN
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Publisher
Faculty of Technology Education, Abubakar Tafawa Balewa University Bauchi.
Abstract
This study gears towards finding a simple numerical algorithm for the solution to fractional integro-differential equations. The technique involves the application of Caputo properties and the properties of Bernstein 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
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Keywords
Least-squares, Fractional integro-differential equations, Bernstein polynomial