Browsing by Author "Taiwo, O.A."

Now showing 1 - 3 of 3
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    Numerical Integration of Seventh Order Boundary Value Problems by Standard Collocation Method via Four Orthogonal Polynomials
    (Nigerian Journal of Mathematics and Applications, 2017) Bello, K.A.; Taiwo, O.A.; Abdulkareem, A.; Abubakar, Jos U.
    Based on standard collocation technique, four (4) different orthogonal polynomials were used as basis functions in the numerical treatment of seventh (7th) order boundary value problems in Ordinary Differential Equations. The performance of each of these polynomials as basis function in the trial solution was then compared. The results obtained from three examples showed that Chebyshev polynomial is the best in term of performance, and closely followed by Hermites polynomial, which was followed by Legendre polynomial while the least in performance is Laguerre polynomial.
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    Numerical Solution of Fourth order Integro-Differential Equations by Least Square Approximation Method using Chebyshev Polynomials as Basis Function
    (JOURNAL OF SCIENCE TECHNOLOGY AND EDUCATION, 2023-03) Abubakar, Jos U.; Bello, K.A.; Taiwo, O.A.; Odetunde, O.S.; Azeez, G.O.
    In this paper, Least square approximation method is used as numerical solution of fourth order integro-differential equations using Chebyshev polynomials of the first kind as basis function. The method assumed an approximate solution using Chebyshev polynomial functions which are then substituted into the problem considered. Then the like terms of the unknown coefficients are collected and simplified. The resulting equation is minimized using the least square approximation, thus resulted into linear algebraic systems of equations which are then solved by Gaussian Elimination method, to obtain the unknown constants substituted back into the assumed approximate solution to get the required approximate solution. Numerical solutions are given to illustrate the accuracy of the methods discussed in the work. Also, absolute errors of the problem are presented in tabular forms.
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    Numerical Studies for Solving Fractional Integro-Differential Equations by using Least Squares Method and Bernstein Polynomials
    (Fluid Mechanics: Open Access, 2016) Oyedepo, T.; Taiwo, O.A.; Abubakar, Jos U.; Ogunwobi, Z.O.
    In this paper, two numerical methods for solving fractional integro differential equations are proposed. The fractional derivative is considered in the Caputo sense. The proposed methods are least squares method aid of Bernstein polynomials function as the basis. The proposed method reduces this type of equation into systems to the solution of system of linear algebraic equations. To demonstrate the accuracy and applicability of the presented methods some test examples are provided. Numerical results show that this approach is easy to implement and accurate when applied to fractional integro-differential equations. We show that the method is effective and has high convergence rate.