Browsing School of Biological, Physical, Mathematics & Actuarial Sciences by Author "Aminer, T. J. O."
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Finite element approach to the solution of fourth order beam equation
Okoya, M. E. Oduor; Aminer, T. J. O.; James, Hagai Amakobe; Kagendo, Nthiiri Joyce (IJESM, 2013-06)Finite element method is a class of mathematical tool which approximates solutions to initial and boundary value problems. Finite element, basic functions, stiffness matrices, systems of ordinary differential equations and ... -
Lie Symmetry Analysis of Modified Diffusive Predator-prey Competition System of Equations
Odhiambo, Francis; Aminer, T. J. O.; Okoya, M. E. Oduor (International Journal Of Multidisciplinary Sciences And Engineering, 2020-03)The predator-prey equations were developed and used by Lotka and Volterra to analyze the dynamics of biological systems in which two species interact, one as a predator and the other as prey [3]. Several attempts have been ... -
Lie Symmetry Solution of Fourth Order Nonlinear Ordinary Differential Equation: (yy'(y(y') -1)'')'=0
Aminer, T. J. O.; Ongati, N. Omolo; Okoya, M. E. Oduor (International Journal of Multidisciplinary Sciences and Engineering, 2017-10)The equation F(x, y, y, y, y, y (4)) 0 is a one-space dimension version of wave equation. Its solutions can be classified either as analytic or numerical using finite difference approach, where the convergence of ... -
Mathematical Analysis of Carbon Pollution in Roads with Ventilated Embankments using Godunov FVM
Awino, J. O.; Aminer, T. J. O. (International Journal of Engineering and Mathematical Sciences, 2018-06)Kenyan Road transport currently accounts for about 78% of the total carbon emission in the country, a percentage that is lately and steadily rising causing enormous scientific concern. Consequently, efficient road design ... -
Numerical Analysis of Mathematical Model for Carbon Pollution in Roads with Ventilated Embankments in Absence and Presence of Forced Convection
Awino, J. O.; Aminer, T. J. O.; Onyango, T. M.; Okelo, N. B. (International Journal of Multidisciplinary Sciences and Engineering, 2018-11)In this paper, a two-dimensional grid based numerical carbon pollution model for the estimation of carbon pollutant concentrations in roads is developed. The simulations of carbon pollutants in roads with ventilated ... -
Numerical solution of dynamic vibration equations
Aminer, T. J. O.; Okelo, B. N.; Ongati, Naftali O.; Okoya, M. E. Oduor (International Journal of mathematical Archive, 2011-09)In this paper, we examine conservative autonomous dynamic vibration equation, , which is time vibration of the displacement of a structure due to the internal forces, with no damping or external ... -
Symmetry group approach to the solution of generalized burgers equation: Ut + UUx = λUxx
Okoya, M. E. Oduor; Ongati, Naftali O.; Aminer, T. J. O.; Otula, Nyakinda J. (2013)Symmetry of a system of differential equations is a transformation that maps any solution to another solution of the system. In Lie’s framework such transformations are groups that depend on continuous parameters and ... -
Two dimensional mathematical models for convective-dispersive flow of pesticides in porous media
Adams, Seth H. W.; Ongati, Naftali O.; Okoya, M. E. Oduor; Aminer, T. J. O. (International Journal of Engineering Science and Computing, 2016)The transport of solutes through porous media where chemicals undergo adsorption or change process on the surface of the porous materials has been a subject of research over the years. Use of pesticides has resulted in ...