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

Volume 2, Issue 1, February 2014

The Effect of Inclination of Channel on Separation of an Incompressible Thermally and Electrically Conducting Viscous Binary Fluid Mixture in Presence of Strong Magnetic Field

B. R. Sharma, R. N. Singh, Rupam Kr. Gogoi

Issue: Volume 2, Issue 1, February 2014

Pages: 1-7

Received: 27 December 2013

Published: 20 February 2014

DOI: 10.11648/j.ajam.20140201.11

Downloads:

Views:

Abstract: The effect of inclination of a channel on separation of a binary mixture of viscous incompressible thermally and electrically conducting Newtonian fluids in presence of a strong magnetic field perpendicular to the direction of flow is examined. The equations of motion, energy and concentration are solved analytically. It is found that the non-dimen... Show More

Download PDF

View Online
On the Survival of Insurance Company’s Investment with Consumption under Power and Exponential Utility Functions

Bright Okore Osu, Silas Abahia Ihedioha, Joy Ijeoma Adindu-Dick

Issue: Volume 2, Issue 1, February 2014

Pages: 8-13

Received: 19 January 2014

Published: 20 February 2014

DOI: 10.11648/j.ajam.20140201.12

Downloads:

Views:

Abstract: In this paper, the survival of insurance company’s investment with consumption is investigated under power and exponential utility functions. We take the risk reserve of an insurance company to follow Brownian motion with drift and tackle an optimal portfolio selection problem of the company. The investment case considered was insurance company tha... Show More

Download PDF

View Online
Thermal Stability of a Reactive Hydromagnetic Poiseuille Fluid Flow through a Channel

Hassan Anthony Rotimi, Gbadeyan Jacob Abiodun

Issue: Volume 2, Issue 1, February 2014

Pages: 14-20

Received: 5 November 2013

Published: 20 February 2014

DOI: 10.11648/j.ajam.20140201.13

Downloads:

Views:

Abstract: This study is conducted to investigate the thermal stability of a reactive Hydromagnetic Poiseuille fluid flow through a channel. It is assumed that the reaction is exothermic under different chemical kinetics: Sensitized, Arrhenius and Bimolecular neglecting the concentration of the material. The analytical solutions of the nonlinear dimensionless... Show More

Download PDF

View Online
On the use of Discrete – Time Markov Process for HIV/AIDs Epidemic Modelling

OGUNMOLA ADENIYI OYEWOLE

Issue: Volume 2, Issue 1, February 2014

Pages: 21-28

Received: 31 December 2013

Published: 28 February 2014

DOI: 10.11648/j.ajam.20140201.14

Downloads:

Views:

Abstract: In this research, a discrete-time Markov process for HIV/AIDs epidemic modeling, which takes into account the dynamic of the HIV; the number of susceptible contracting HIV, the number of infective developing AIDS and the parameters influencing these outcomes is designed. This is to determine the behaviour of the epidemic and to keep it under contro... Show More

Download PDF

View Online
HPM Method Applied to Solve the Model of Calcium Stimulated, Calcium Release Mechanism

H. Vazquez-Leal, L. Hernandez-Martinez, Y. Khan, V.M. Jimenez-Fernandez, U. Filbello-Nino, A. Diaz-Sanchez, A.L. Herrera-May, R. Castaneda-Sheissa, A. Marin-Hernandez, F. Rabago-Bernal, J. Huerta-Chua, S.F. Hernandez-Machuca

Issue: Volume 2, Issue 1, February 2014

Pages: 29-35

Received: 14 February 2014

Published: 28 February 2014

DOI: 10.11648/j.ajam.20140201.15

Downloads:

Views:

Abstract: In this paper, homotopy perturbation method (HPM) is employed to provide an approximate, but detailed, solution for the nonlinear differential equation that describes the calcium stimulated calcium release mechanism. Comparison to the exact solutions shows that the method is extremely efficient, if initial guess is suitably chosen.

Download PDF

View Online