Browsing by Author "Adebisi, A. F"

Now showing 1 - 2 of 2
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    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, T
    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.
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    Perturbed Collocation Method for Solving Singular Multi-order Fractional Differential Equations of Lame-Emden Type
    (Journal of the Nigerian Society of Physical Sciences, 2020) Uwaheren, O. A; Adebisi, A. F; Taiwo, O. A
    In this work, a general class of multi-order fractional di erential equations of Lane-Emden type is considered. Here, an assumed approximate solution is substituted into a slightly perturbed form of the general class and the resulting equation is collocated at equally spaced interior points to give a system of linear algebraic equations which are then solved by suitable computer software; Maple 18