### Browsing by Author "Oyedepo, T"

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Item Least Squares Bernstein Method for Solving Fractional Integro- Differential Equations(Faculty of Technology Education, Abubakar Tafawa Balewa University Bauchi., 2022) Oyedepo, T; Ishola, C. Y; Uwaheren, O. A; Olaosebikan, M. L; Ajisope, M. O; Victor, A. AShow more 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 displayedShow more Item Least Squares Technique for Solving Volterra Fractional Integro-differential Equations Based on Constructed Orthogonal Polynomials(Akamai University, Hawaii, USA., 2020) Oyedepo, T; Adebisi, A. F; Uwaheren, O. A; Ishola, C. Y; Amadiegwum, S; Latunde, TShow more In this study, a new Gauss-Legendre Polynomials basis function was constructed and used for solving integro-differential difference equations using standard collocation method. An assumed approximate solution in terms of the constructed polynomial was substituted into the general class of integro-differential difference equation considered. The resulted equation was collocated at appropriate points within the interval of consideration to obtain a system of algebraic linear equations. Solving the system of equations, the unknown constant coefficients involved in the equations are obtained. The required approximate solution is obtained when the values of the constant coefficients are substituted back into the assumed approximate solution. Some numerical examples were solved to demonstrate the method.Show more Item Solution of Fractional Integro-differential Equation Using modified Homotopy Perturbation Technique and Construction orthogonal polynomials as Basis Functions(Faculty of Technology Education, Abubakar Tafawa Balewa University Bauchi., 2019) Oyedepo, T; Uwaheren, O. A; Okperhe, P; Peter, O. JShow more 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.Show more