Archive:: American Journal of Applied Mathematics:: Science Publishing Group

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

DOI: 10.11648/j.ajam.20170501.11

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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

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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

DOI: 10.11648/j.ajam.20170501.12

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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

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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

DOI: 10.11648/j.ajam.20170501.13

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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

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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

DOI: 10.11648/j.ajam.20170501.14

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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

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