Mathematics

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Mathematics

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    Mathematical Modeling of Algae Population Dynamics on the Surface of Water
    (Pacific Journal of Science and Technology, 2019-12-30) Abdurrahman, N. O.; Akinwande, N .I.; Somma, Samuel Abu
    The paper presented an analytical solution of the exponential growth model of algae population dynamics on the water surface. The Computer Symbolic Algebraic Package, MAPLE is used to simulate the graphical profiles of the population with time while varying the parameters, such as diffusion and rate of change of algae density, governing the subsistence or extinction of the water organisms.
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    A Homotopy-Perturbation analysis of the non-linear contaminant transport problem in one dimension with an initial continuous point source.
    (NIGERIAN JOURNAL OF TECHNOLOGICAL RESEARCH (NJTR), 2013-02-28) Aiyesimi, Y. M.; JIMOH, OMANANYI RAZAQ
    In this research work, a Homotopy-perturbation analysis of a non –linear contaminant flow equation with an initial continuous point source is provided. The equation is characterized by advection, diffusion and adsorption. We assume that the adsorption term is modeled by Freudlich Isotherm. We provide an approximation of this equation using homotopy-perturbation transformation and solve the resulting linear equations analytically by homotopy-perturbation method. Graphs are plotted using the solution obtained from the method and the results are presented, discussed and interpreted. The research findings show that the concentration increases with time and decreases as distance increases.
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    Comparative Analysis of a Non-Reactive Contaminant Flow Problem for Constant Initial Concentration in Two Dimensions by Homotopy-Perturbation and Variational Iteration Methods.
    (Pacific Journal of Science and Technology, 2013-05-10) JIMOH, OMANANYI RAZAQ
    In this paper, we present a comparative analysis of non-reactive contaminant flow problem for constant initial concentration in two dimensions by homotopy-perturbation and Variational Iteration method. We provide an approximation of this equation using homotopy-perturbation transformation and solve the resulting linear equations analytically by homotopy-perturbation method (HPM) and Variational Iteration Method (VIM). Graphs are plotted using the solution obtained from the method and the results are presented and discussed.
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    Computational Analysis of a one-dimensional nonlinear reactive contaminant flow with an initial continuous point source by homotopy-perturbation method.
    (Journal of the Nigerian Association of Mathematical Physics, 2012-11-05) Aiyesimi, Y. M.; JIMOH, OMANANYI RAZAQ
    In this paper, a Homotopy-perturbation analysis of a non–linear reactive contaminant flow equation with initial continuous point source is provided. The equation is described by advection, diffusion and adsorption. We assume that the adsorption term is modeled by Freudlich Isotherm. We provide an approximation of this equation using homotopy-perturbation transformation and solve the resulting linear equations analytically. The graphs of the concentration against the distance, reaction parameter and time are presented and analyzed to determine the effects of increase in the reaction coefficient, time and distance on the concentration. Findings from this research show that the concentration of the contaminant decreases with time and decreases faster when the value of the reaction parameter α is high.
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    Mathematical Modeling of Algae Population Dynamics on the Surface of Water
    (The Pacific Journal of Science and Technology, 2019-11-22) Abdurrahman, Nurat Olamide; Somma, S. A.; Akinwande, N. I.
    The paper presented an analytical solution of the exponential growth model of algae population dynamics on the water surface. The Computer Symbolic Algebraic Package, MAPLE, is used to simulate the graphical profiles of the population with time while varying the parameters, such as diffusion and rate of change of algae density, governing the subsistence or extinction of the water organisms.