14 articles for “finite difference scheme”

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Research ArticleOpen accessIn the abstractNumerical Solution For Frank-Kamenetskii And Activation Energy Parameters in Reactive-Diffusive Equation with Variable One-Exponential FactorO. K. Koriko, A. J. OmowayeIn this study, we considered a steady state, exothermic chemical reaction, taking the diffusion of the reactant into account and assuming an Arrhenius temperature dependence with variable pre-exponent factor. Numerical solution is constructed for the governing nonlinear boundary value problem using finite difference scheme .The effect of Frank-Kamenetskii, activation energy parameter and pre-exponent factor on the temperature were also examined, … …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 6,920 accessesView PDF Cite

Research ArticleOpen accessIn the abstractNumerical Analysis of Pressure Pulses in the Jerk Fuel Injection SystemsR. A. Baker, T. FirozComputer software has been developed and described in the present study of thorough parametric analysis and design of a mechanical diesel fuel injection system. The method is based on the numerical solution of one dimensional, unsteady, incompressible flow equations through the fuel pipe along with appropriate initial condition, pump end boundary condition and nozzle end boundary condition. Method of characteristics … …American Journal of Applied Sciences, Vol. 2, Issue 5 · 31 May 2005 · 7,155 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordNumerical Investigation of Incompressible Fluid Flow through Porous Media in a Lid-Driven Square CavityM.A. Mohd Irwan, A. M. Fudhail, C.S. Nor Azwadi, G. MasoudProblem statement: Investigation of fluid flow behavior through porous media in a liddriven square cavity. Approach: The Brinkman-Forcheimer equation is coupled with the lattice Boltzmann formulation to predict the velocity field in the system. Three numerical experiments were preformed with different values of Darcy number to investigate the effect of porosity on the fluid flow. Results: In the current study, … …American Journal of Applied Sciences, Vol. 7, Issue 10 · 31 Oct 2010 · 7,405 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordNumerical Study of Tsunami Waves with Sloping Bottom and Nonlinear FrictionAgustinus RibalIn this paper we investigate the breaking of long-waves propagating on shallow water with nonlinear friction on the sloping bottom. A complete set of equations is presented and a numerical method is developed to simulate the wave propagation. The method uses an up-wind difference scheme for the nonlinear convective term and the central difference scheme for other derivative terms. Various … …Journal of Mathematics and Statistics, Vol. 4, Issue 1 · 31 Mar 2008 · 7,129 accessesView PDF Cite