American Journal of Applied Mathematics

Volume 2, Issue 5, October 2014

  • Analytical Expressions for Commensal-Host Ecological Model: Homotopy Perturbation Method

    Vembu Ananthaswamy, Lucas Sahaya Amalraj

    Issue: Volume 2, Issue 5, October 2014
    Pages: 149-154
    Received: 22 August 2014
    Accepted: 9 September 2014
    Published: 20 September 2014
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    Abstract: In this paper a mathematical commensal-host ecological model with replenishment rate for both species is discussed. This model is characterized by a pair of first order non-linear coupled differential equations. The non-linear coupled system-equations are solved analytically by using Homotopy perturbation method. Further, our results are compared w... Show More
  • Modified Midpoint Method for Solving System of Linear Fredholm Integral Equations of the Second Kind

    Salam Jasim Majeed

    Issue: Volume 2, Issue 5, October 2014
    Pages: 155-161
    Received: 24 August 2014
    Accepted: 6 September 2014
    Published: 30 September 2014
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    Abstract: In this paper numerical solution to system of linear Fredholm integral equations by modified midpoint method is considered. This method transforms the system of linear Fredholm integral equations into a system of linear algebraic equations that can be solved easily with any of the usual methods. Finally, some illustrative examples are presented to ... Show More
  • Shape Preserving Third and Fifth Degrees Polynomial Splines

    Vladimir Ivanovich Pinchukov

    Issue: Volume 2, Issue 5, October 2014
    Pages: 162-169
    Received: 22 August 2014
    Accepted: 12 September 2014
    Published: 30 September 2014
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    Abstract: This paper is devoted to the development of positivity and monotonisity preserving linear spline techniques, namely, techniques which are based on ideas applied in the field of high order TVD (Total Variation Diminishing) methods for numerical solving compressible flow equations. Third and fifth degrees polynomial splines are constructed. Third deg... Show More
  • Investigation of Hydro Magnetic Steady Flow between Two Infinite Parallel Vertical Porous Plates

    Kimeu Boniface, Kwanza Jackson, Onyango Thomas

    Issue: Volume 2, Issue 5, October 2014
    Pages: 170-178
    Received: 15 September 2014
    Accepted: 8 October 2014
    Published: 20 October 2014
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    Abstract: In this study we consider MHD steady fluid flow between two infinite parallel vertical porous plates with heat transfer. The governing equations considered we reduced to specific form according to the geometry of the studied problem. The non-dimensional governing equations involved in the present analysis are solved using the finite difference tech... Show More
  • On Chemically Reacting Hydromagnetic Flow over a Flat Surface in the Presence of Radiation with Viscous Dissipation and Convective Boundary Conditions

    Emmanuel Maurice Arthur, Ibrahim Yakubu Seini, Azizu Seidu

    Issue: Volume 2, Issue 5, October 2014
    Pages: 179-185
    Received: 14 September 2014
    Accepted: 24 September 2014
    Published: 20 October 2014
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    Abstract: This paper presents an investigation of the hydromagnetic flow over a flat surface with convective boundary conditions and internal heat generation in the presence of chemical reaction. The Newton-Raphson shooting method along with the fourth-order Runge-Kutta integration algorithm has been employed to tackle the third order, nonlinear boundary lay... Show More
  • A Novel Iteration Class for Solution of Nonlinear Equation

    Hamideh Eskandari

    Issue: Volume 2, Issue 5, October 2014
    Pages: 186-190
    Received: 3 October 2014
    Accepted: 16 October 2014
    Published: 30 October 2014
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    Abstract: In this paper, one of the most fundament problems in numerical analysis has designed that it is found roots of equation f(x)=0 with variable x. In different articles and books, many several of methods exist for solving non algebra equations. Here, we present a class of Halley method and Chebyshev method from second derivatives for solving non algeb... Show More
  • Influence of Customer Attitude on Uptake of Life Insurance among Teachers in Uasin Gishu County - Kenya

    Nelson Kimeli Kemboi Yego, Kennedy Kipkosgei Salbei, Evans Mbuthi Kilonzo

    Issue: Volume 2, Issue 5, October 2014
    Pages: 191-196
    Received: 1 October 2014
    Accepted: 25 October 2014
    Published: 10 November 2014
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    Abstract: Despite its importance in business, economic growth, and particularly in financial services sector, life insurance in Kenya has experienced low uptake. This research sought to find out the customer attitude influence on the uptake of life insurance among teachers in Uasin Gishu County, Kenya. The research focused on customer attitude as a factor. A... Show More