18 results for “Runge-Kutta”

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Research ArticleOpen accessIn the abstractApplication of Homotopy Perturbation Method for SIR Model with Vital Dynamics and Constant PopulationMohammed S. Mechee, Ghassan A. Al-JuaifriIn this work, we have studied Susceptible-Infected-Recovered (SIR) model with vital dynamics and constant population, which is used as a mathematical models in many physically significant fields of applied science. The Homotopy Perturbation Method (HPM) and Runge-Kutta method (RK) have been used for solving the SIR model with vital dynamics and constant population. The convergence of HPM has been studied. … …American Journal of Applied Sciences, Vol. 15, Issue 1 · 3 Jan 2018 · 8,003 accessesView PDF Cite

Research ArticleOpen accessIn the abstractApproximate Series Solution of Nonlinear, Fractional Klein-Gordon Equations Using Fractional Reduced Differential Transform MethodEman Abuteen, Asad Freihat, Mohammed Al-Smadi et al.This analysis proposes an analytical-numerical approach for providing solutions of a class of nonlinear fractional Klein-Gordon equation subjected to appropriate initial conditions in Caputo sense by using the Fractional Reduced Differential Transform Method (FRDTM). This technique provides the solutions very accurately and efficiently in convergent series formula with easily computable coefficients. The behavior of the approximate series solution for different … …Journal of Mathematics and Statistics, Vol. 12, Issue 1 · 26 Mar 2016 · 7,901 accessesView PDF Cite

Research ArticleOpen accessIn the abstractFREE CONVECTION OF HEAT TRANSFER IN FLOW PAST A SEMI-INFINITE FLAT PLATE IN TRANSVERSE MAGNETIC FIELD WITH HEAT FLUXP. Geetha, M.B.K. Moorthy, M. DakshinamoorthyA steady two-dimensional MHD free convection of heat transfer in flow past a semi-infinite flat plate in transverse magnetic field with heat flux has been examined. The governing partial differential equation are non-dimensionalised and transformed into a system of nonlinear ordinary differential similarity equations, in a single independent variable η and using Runge-Kutta Gill method with shooting technique. The velocity … …American Journal of Applied Sciences, Vol. 11, Issue 9 · 4 Jul 2014 · 7,059 accessesView PDF Cite

Research ArticleOpen accessIn the abstractViscous Dissipation Effect on Steady free Convection and Mass Transfer Flow past a Semi-Infinite Flat PlatePalanisamy Geetha, Muthamperumal Bhavathikannu Krishna MoorthyProblem statement: A steady two-dimensional free convection and mass transfer flow past a continuously moving semi-infinite flat plate is studied theoretically, by taking into account the viscous dissipation effect. Approach: The governing equations are transformed into a set of simultaneous ordinary differential equation by using suitable similarity transformations. The coupled differential equations are integrated using the Runge-Kutta Gill method together … …Journal of Computer Science, Vol. 7, Issue 7 · 30 Jun 2011 · 6,503 accessesView PDF Cite

Research ArticleOpen accessIn the abstractSoret and Dufour Effects on Natural Convection Flow Past a Vertical Surface in a Porous Medium with Variable Surface TemperatureHassan A.M. El-ArabawyProblem statement: In this research the researchers studied and made an analysis to the heat and mass transfer characteristics of natural convection about a vertical surface embedded in a saturated porous medium with surface temperature distribution proportional to xλ by taking into account the diffusion-thermo (Dufour) and thermal-diffusion (Soret) effects. Approach: The governing partial differential equations were transformed into a … …Journal of Mathematics and Statistics, Vol. 5, Issue 3 · 30 Sep 2009 · 7,485 accessesView PDF Cite

Research ArticleOpen accessIn the abstractA New Block Method for Special Third Order Ordinary Differential EquationsB. T. Olabode, Y. YusuphA linear multistep method for the direct solution of initial value problems of ordinary differential equations was presented in this article. Collocation approximation method was adopted in the derivation of the scheme and then the scheme was applied as simultaneous integrator to special third order initial value problem of ordinary differential equations. The new block method possessed the desirable feature … …Journal of Mathematics and Statistics, Vol. 5, Issue 3 · 30 Sep 2009 · 7,707 accessesView PDF Cite

Research ArticleOpen accessIn the abstractTime-Marching Method for Computations of High-Speed Compressible Flow on Structured and Unstructured GridK.C. Ng, M.Z. Yusoff, K. Munisamy et al.The development of Computational Fluid Dynamics (CFD) compressible codes for 2D structured quadrilateral grid and 3D unstructured hexahedral grid is described. The high-speed flow in a nozzle blade cascade is predicted numerically by solving the 2D/3D Euler Equations in a coupled manner. The new finite volume CFD solvers employ second-order accurate central differencing scheme for spatial discretization and multi-stage Runge-Kutta … …American Journal of Engineering and Applied Sciences, Vol. 1, Issue 2 · 30 Jun 2008 · 7,348 accessesView PDF Cite

Research ArticleOpen accessIn the abstractSimulations of Two-dimensional High Speed Turbulent Compressible Flow in a Diffuser and a Nozzle Blade CascadeK. C. Ng, M. Z. Yusoff, T. F. YusafThis research describes the development of a new structured 2D CFD solver for compressible flow. The high-speed turbulent flow in a diffuser and a cascade of nozzle blade is predicted using standard k-ε turbulence model. The new finite volume CFD solver employs second-order accurate central differencing scheme for spatial discretization and multi-stage Runge-Kutta time integration to solve the set of … …American Journal of Applied Sciences, Vol. 2, Issue 9 · 30 Sep 2005 · 6,550 accessesView PDF Cite