Browsing by Author "Ishola, C. Y"
Now showing 1 - 2 of 2
Results Per Page
Sort Options
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. AThis 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 displayedItem 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, TIn 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.