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Lie Symmetry Solution of Fourth Order Nonlinear Ordinary Differential Equation: (yy'(y(y') -1)'')'=0
(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 ...
Numerical Analysis of Mathematical Model for Carbon Pollution in Roads with Ventilated Embankments in Absence and Presence of Forced Convection
(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 ...
Mathematical Analysis of Carbon Pollution in Roads with Ventilated Embankments using Godunov FVM
(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 ...
Finite element approach to the solution of fourth order beam equation
(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 ...
Two dimensional mathematical models for convective-dispersive flow of pesticides in porous media
(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 ...
Symmetry group approach to the solution of generalized burgers equation: Ut + UUx = λUxx
(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 ...
Numerical solution of dynamic vibration equations
(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 ...