Browsing by Author "Taiwo, O. A."
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Item APPLICATION OF COLLATION METHODS FOR THE NUMERIC SOLUTION OF INTEGRO-DIFFERENTIAL EQUATIONS BY CHEBYSHEV POLYNOMIALS(2011) Taiwo, O. A.; Falade, K. I.; Bello, K. A.Integro – differetial 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-Radau 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 the collocation methods discussed can be used as a novel solver for linear Integro – differential equations.Item Approximation of Time-Fractional Partial Differential Equations with Caputo Derivatives by Laplace Sequential Iterative Decomposition Method(2014) Taiwo, O. A.; Bello, K.A.In this paper, iterative decomposition method is coupled with the Laplace transformation method and used to solve time fractional partial differential equations. The results obtained by the new proposed method are exact. Numerical examples are given to illustrate the reliability and applicability of the proposed method.Item Interactive Decomposition Method and Laplace Interactive Decomposition Method in Solving ONe-dimensional Time-Fractional Partial Differential Equations(2013) Bello, K. A.; Taiwo, O. A.In this paper, we consider the numerical treatment of one-dimensional time-fractional partial differential equations by Iterative Decomposition Method (IDM) and Laplace Iterative Decomposition Method (LIDM). Comparative study of the numerical results of illustrative examples of the two methods show that the two methods compared favourable in terms of efficiency, conveniency and accuracy. The major advantage demonstrated by the two methods over some other methods in the literature is their ability to handle non linear problems directly.Item Numerical Integration of Seventh Order Boundary Value Problems by Standard Collocation Method via Four Orthogonal Polynomials(Unilorin Press, 2017) Bello, K. A.; Taiwo, O. A.; Abdulkareem, A.; Abubakar, J. U.; Adebisi, F.A.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 poly-nomial while the least in performance is Laguerre polynomial.