Browsing by Author "Taiwo, O.A"

Now showing 1 - 6 of 6
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    An Application of Picard Iteration Method to Fractional Quadratic Riccati Differential Equations
    (Faculty of Physical Science, University of Ilorin, 2018) Bello, K.A; Taiwo, O.A
    In this paper, we present an algorithm of the Picard's Iteration method to solve Fractional Quadratic Riccati differential equations with Caputo-derivatives. The non-linear terms are easily and simply expanded using the traditional method of expansion. Four (4) illustrative examples are given to verify the reliability and efficiency of the method. The approximate solutions obtained compare favorably with the exact solutions and the approximate solutions obtained by other numerical methods in the literature.
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    Application of Collocation methods for the Numerical Solution of Integro-Differential equations by Chebyshev polynomial
    (Faculty of Pure and Applied Sciences, Ladoke Akintola University of Technology (LAUTECH), Ogbomoso, Nigeria, 2011) Taiwo, O.A; Falade, K.I; Bello, K.A
    Integro – differential equations find special applicability within scientific and mathematical discipline. In this work, the application of some collocation methods for solving Integro – Differential equations presented. We employed two collocation methods namely, Standard and Perturbed collocation methods and the following collocation points namely, equally spaced interior collocation, Chebyshev Gauss – Lobatto collocation and Chebyshev Gauss- lobatto collocation points were used. Errors analysis and illustrative examples were included to demonstrate the validity and applicability of the methods MATLAB 7 was used to carry out the computation. We conclude that collocation methods discussed can be used as a novel solver for linear Integro – differential equations.
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    Approxiamtion of Second Order Boundary Value Problems By Galerkin Method with Chebyshev Polynomial Basis
    (Faculty of Physical Sciences, University of Ilorin, 2018) Bello, K.A; Taiwo, O.A; Taiwo, A.I
    In this paper, the technique of Galerkin weighted residual method is used to obtain the numerical solution of second order linear boundary value problems. By the use of Linear transformation, the problem was first converted from its original form and interval to its equivalent form in the interval of the chebyshev polynomial used as basis of the trial solution. Then the converted form of the problem is solved using the Galerkin weighted residual method. Three numerical examples with Neumann boundary conditions were considered. The approximate solutions of the examples compared favourably with the exact solutions on using a very few Chebyshev polynomials.The method is very effective and accurate.
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    On The Performance Of Four Kinds of Chebyshev Polynomial in Numerical Treatment of Multi-Order Fractional Differential Equations.
    (Ibrahim Badamasi Babangida University, Lapai, Niger State, 2019) Bello, K.A; Taiwo, O.A; Odetunde, O.A; A. Abubakar
    This paper is devoted to investigate the relationship in the performance of the four kinds of shifted Chebyshev polynomial for the comparison purpose, in fractional linear differential equation with constant co-efficient involving the Caputo fractional derivative, using Standard Collocation Method (SCM). Three different examples were considered and the results obtained show that the first kind of shifted Chebyshev polynomial performed better. Hence the order of performance is as follows: the first, fourth, second and third respectively.
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    Patched Segmented Collocation Techniques for the Numerical Solution of Second Order Boundary Value Problems
    (2010-06-29) Taiwo, O.A; Bello, A.K
    This paper deals with the numerical solutions of boundary value problems by patched segemented Collocation Method. The method examined the numerical solutions of boundary value problems after the whole intervals of consideration have been partitioned into various sub intervals and the solutions are sought in the various sub intervals and then matched together using Chebyshev polynomials as the basis function. Numerical examples are given to illustrate the efficiency, accuracy and computational cost of the method. Results obtained are better than when the problems are solved within the whole intervals using the same approach.
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    Standard Collocation and Perturbed Collocation Methods for Solving Linear Volterra Integro Differential Equations
    (Ibrahim Badamasi Babangida University, Lapai., 2021) Bello, K.A; Taiwo, O.A; A. Abubakar; AdbdulKareem, A; M.A. Adeyanju; Ige, S.K.
    This project deals with the numerical approximation of linear fourth order integro differentia equations. The numerical methods consider are standard collocation and perturbed collocatio methods using shifted chebyshev polynomial as basis function. The result obtained shows tha perturbed collocation method proved to have a better approximation than that of standarc collocation methods in the cases considered. Three examples are considered to illustrat efficiency method.