Browsing by Author "Aliyu, H.B"

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    Approximate Solution of An Ordinary Differential And Integral Equations Using Collocation Method Based On Hermite Legendre Polynomials
    (Faculty of Natural and Applied Sciences, Umaru Musa yar'adua University, Kastina, 2021-03) Ayinde, A.M; Aliyu, H.B; Bello, K.A; Adenipekun, A.E
    In this work, we employed an approximate solution of second and third-order Initial Value Problems (IVPs) in Ordinary Differential Equations (ODEs) by utilizing a standard collocation method based on Hermite and Legendre polynomials. The ODEs were first converted to integral equations and the basis function was substituted to obtain a set of linear algebraic which then form equations that were solved via maple 2021. Comparisons were made with the two trial solutions mentioned above in terms of errors obtained. Numerical examples were given to illustrate the performance of the method for various orders. However, the Hermite polynomial basis exhibits better accuracy over the Legendre polynomials in some results as can be seen from the tables of errors presented.