Solution of Fractional Integro-differential Equation Using modified Homotopy Perturbation Technique and Construction orthogonal polynomials as Basis Functions
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Date
2019
Journal Title
Journal ISSN
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Publisher
Faculty of Technology Education, Abubakar Tafawa Balewa University Bauchi.
Abstract
A numerical methodology based on quartic weighted polynomials for finding the
solution of fractional integro-differential equations (FIDEs) is presented. The
fractional derivative is taken into account within in the Caputo sense. The
suggested method involves the application of the homotopy perturbation
method and used the initial approximation as the constructed orthogonal
polynomials. The ensuing equations involve comparing the coefficients of the
homotopy parameter P, which then resulted in a system of a linear algebraic
equation and then solved using MAPLE 18. To demonstrate the relevance of the
bestowed methodology some numerical examples were solved, and the
numerical results obtained show that the techniques are easy to implement and
accurate when applied to fractional FIDEs. The graphical solution of the method
is displayed.
Description
Keywords
Orthogonal polynomial; Modified homotopy perturbation method; Fractional integro-differential equations