American Journal of Applied Mathematics

Volume 5, Issue 1, February 2017

  • Convective Transport of Nanofluid Saturated with Porous Layer

    Jada Prathap Kumar, Jawali Channabasappa Umavathi, Channakeshava Murthy

    Issue: Volume 5, Issue 1, February 2017
    Pages: 1-13
    Received: 10 November 2016
    Accepted: 26 November 2016
    Published: 18 January 2017
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    Abstract: In the present article, the onset of convection in a horizontal layer of porous medium saturated by ananofluid is investigated analytically using linear and weakly nonlinear analysis. The model used for the nanofluid incorporates the effect of Brownian motion and thermophoresis. The effect of Raleigh-Darcy number, Lewis number, modified diffusivity... Show More
  • Application of the Differential Transform Method for the Nonlinear Differential Equations

    Mohand M. Abdelrahim Mahgoub, Abdelbagy A. Alshikh

    Issue: Volume 5, Issue 1, February 2017
    Pages: 14-18
    Received: 15 October 2016
    Accepted: 28 October 2016
    Published: 18 January 2017
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    Abstract: This paper aims to find analytical solutions of some analytical solutions of some non-linear differential equations using a new integral transform ''Aboodh transform'' with the differential transform method. The nonlinear terms can be easily handled by the use of differential transform method. This method is more efficient and easy to handle such d... Show More
  • On Modified DFP Update for Unconstrained Optimization

    Saad Shakir Mahmood, Samira Hassan Shnywer

    Issue: Volume 5, Issue 1, February 2017
    Pages: 19-30
    Received: 25 December 2016
    Accepted: 9 January 2017
    Published: 6 February 2017
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    Abstract: In this paper, we propose a new modify of DFP update with a new extended quasi-Newton condition for unconstrained optimization problem so called update. This update is based on a new Zhang Xu condition we show that update preserves the value of determinant of the next Hessian matrix equal to the value of determinant of current Hessian matrix theo... Show More
  • Smoking as Epidemic: Modeling and Simulation Study

    Sintayehu Agegnehu Matintu

    Issue: Volume 5, Issue 1, February 2017
    Pages: 31-38
    Received: 4 December 2016
    Accepted: 23 December 2016
    Published: 23 February 2017
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    Abstract: In this paper we propose smoking epidemic model which analyzes the spread of smoking in a population. The model consists of five compartments corresponding to five population classes, namely, potential-moderate-heavy-temporarily recovered- permanently recovered class. The basic reproduction number R0 has been derived, and then the dynamical behavio... Show More