Browsing by Author "Peter, O. J"

Now showing 1 - 3 of 3
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    Application of Adomian Decomposition Method on a Mathematical Model of malaria.
    (union of researchers of Macedonia., 2020) Abioye, A. I; Peter, O. J; Ayoade, A. A; Uwaheren, O. A; Ibrahim, M. O
    In this paper, we consider a deterministic model of malaria transmission. Adomian decomposition method (ADM) is used to calculate an approximation to the solution of the non-linear couple of differential equations governing the model. Classical fourth-order Runge-Kutta method implemented in Maple18 confirms the validity of the ADM in solving the problem. Graphical results show that ADM agrees with R-K 4. In order words, these produced the same behaviour, validating ADM’s efficiency and accuracy of ADM in finding the malaria model solution.
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    Application of Homotopy Perturbation Method to an SIR Mumps Model
    (union of researchers of Macedonia., 2020) Ayoade, A. A; Peter, O. J; Abioye, A. I; Adinum, T. F; Uwaheren, O. A
    Mumps is one of the diseases that pose global threat to children well-being. In this paper, the problem of the spread of mumps in a closed population is investigated using a SIR compartmental model. Mathematical interpretation of the problem generates nonlinear first-order differential equations. The method of Homotopy Perturbation is adopted to derive the theoretical solutions of the system. Numerical simulations of the analytical results are carried out with the help of Maple 18 software and the solutions are presented in graphical form. The solutions show that Homotopy Perturbation Method (HPM) is an appropriate technique for solving epidemic models.
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    Solution of Fractional Integro-differential Equation Using modified Homotopy Perturbation Technique and Construction orthogonal polynomials as Basis Functions
    (Faculty of Technology Education, Abubakar Tafawa Balewa University Bauchi., 2019) Oyedepo, T; Uwaheren, O. A; Okperhe, P; Peter, O. J
    A numerical methodology based on quartic weighted polynomials for finding the solution of fractional integro-differential equations (FIDEs) is presented. The fractional derivative is taken into account within in the Caputo sense. The suggested method involves the application of the homotopy perturbation method and used the initial approximation as the constructed orthogonal polynomials. The ensuing equations involve comparing the coefficients of the homotopy parameter P, which then resulted in a system of a linear algebraic equation and then solved using MAPLE 18. To demonstrate the relevance of the bestowed methodology some numerical examples were solved, and the numerical results obtained show that the techniques are easy to implement and accurate when applied to fractional FIDEs. The graphical solution of the method is displayed.