American Journal of Applied Mathematics

Volume 2, Issue 6, December 2014

  • Effects of Viscous Dissipation and Heat Generation on Magneto Hydrodynamics Natural Convection Flow along a Vertical Wavy Surface

    Sujon Nath, Nazma Parveen

    Issue: Volume 2, Issue 6, December 2014
    Pages: 197-203
    Received: Nov. 13, 2014
    Accepted: Nov. 24, 2014
    Published: Nov. 27, 2014
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    Abstract: In this paper we consider the combined effects of viscous dissipation and heat generation on MHD natural convection flow along a vertical wavy surface are studied. The governing Navier-Stokes equations with associated boundary conditions are transformed into non-dimensional boundary layer equations using appropriate variables. Implicit finite diffe... Show More
  • Cyclical Surfaces Created by Helix on Torus

    Tatiana Olejníková

    Issue: Volume 2, Issue 6, December 2014
    Pages: 204-208
    Received: Nov. 25, 2014
    Accepted: Dec. 06, 2014
    Published: Dec. 17, 2014
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    Abstract: This paper describes method of modelling of cyclical surfaces created by helix on the torus . The axis of the cyclical surface ´ is the helix s as a trajectory of movement of a point composed of two motions of rotation. The circle moves together with Frenet-Serret moving trihedron along the helix s and creates the cyclical surface ´. The paper d... Show More
  • A Grey Relational Analysis Based Study on Green Degree Evaluation of Urban Logistics

    Lijuan Qian, Jinlin Ma, Zongbo Zhang, Daming Zhang, Kaiping Ma

    Issue: Volume 2, Issue 6, December 2014
    Pages: 209-213
    Received: Nov. 13, 2014
    Accepted: Nov. 26, 2014
    Published: Dec. 18, 2014
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    Abstract: According to the urban logistics green degree’s evaluation, a weighted grey correlation analysis method based on the analytic hierarchy process is proposed to determine the weight of each index in the urban logistics green degree evaluation system, and then figure out the optimal relative degree, realizing the green degree of each urban logistics. ... Show More
  • Radiative MHD Flow over a Vertical Plate with Convective Boundary Condition

    Christian John Etwire, Yakubu Ibrahim Seini

    Issue: Volume 2, Issue 6, December 2014
    Pages: 214-220
    Received: Dec. 10, 2014
    Accepted: Dec. 24, 2014
    Published: Jan. 04, 2015
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    Abstract: This paper investigates the effect of thermal radiation on magneto hydrodynamic (MHD) flow over a vertical plate with convective boundary conditions. The governing partial differential equations were transformed into coupled nonlinear differential equations which were solved numerically using the fourth order Runge-Kutta algorithm with a shooting m... Show More
  • Numerical Experiments with the Lagrange Multiplier and Conjugate Gradient Methods (ILMCGM)

    Samson Adebayo Olorunsola, Temitayo Emmanuel Olaosebikan, Kayode James Adebayo

    Issue: Volume 2, Issue 6, December 2014
    Pages: 221-226
    Received: Dec. 21, 2014
    Accepted: Dec. 25, 2014
    Published: Jan. 06, 2015
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    Abstract: In this paper, we imbed Langrage Multiplier Method (LMM) in Conjugate Gradient Method (CGM), which enables Conjugate Gradient Method (CGM) to be employed for solving constrained optimization problems of either equality, inequality constraint or both. In the past, Langrage Multiplier Method has been used extensively to solve constrained optimization... Show More