American Journal of Applied Mathematics

Volume 1, Issue 4, October 2013

  • Elementary Algebra for Origami: The Trisection Problem Revisited

    Hiroyuki Shima

    Issue: Volume 1, Issue 4, October 2013
    Pages: 39-43
    Received: 8 September 2013
    Published: 20 October 2013
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    Abstract: This article presents an algebraic background in solving the angle trisection problem using origami-folding. Origami has been originally the art of paper folding, and recently aroused strong interest in a wide discipline of science and technology owing to its deep mathematical implication. Origami is also known to be an efficient tool for solving t... Show More
  • Fixed Point Theorem in 2 – Metric Spaces of Implicit Relations

    Rajesh Shrivastava, Neha Jain, K. Qureshi

    Issue: Volume 1, Issue 4, October 2013
    Pages: 44-48
    Received: 4 September 2013
    Published: 30 October 2013
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    Abstract: In this paper present on Fixed point Theorem in 2-metric spaces .A concept which has been in focus recent times. The result is supported with an example.
  • Reachable Sets for Autonomous Systems of Differential Equations and their Topological Properties

    Sashka Petkova, Andrey Antonov, Rumyana Chukleva

    Issue: Volume 1, Issue 4, October 2013
    Pages: 49-54
    Received: 9 September 2013
    Published: 30 October 2013
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    Abstract: The initial value problems for autonomous systems of differential equations are the main object of this paper. Different variants of the concept reachable sets for the solutions of such systems are introduced. Several conditions for their existence are found and some properties are studied.
  • Determination of One Dimensional Temperature Distribution in Metallic Bar Using Green’S Function Method

    Virginia Mwelu Kitetu, Thomas Onyango, Jackson Kioko Kwanza, Nicholas Muthama Mutua

    Issue: Volume 1, Issue 4, October 2013
    Pages: 55-70
    Received: 7 September 2013
    Published: 30 October 2013
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    Abstract: The present study focuses on determination of temperature distribution in one dimensional bar using Green’s function method. The Green’s Function is obtained using separation of variables, variation formulation principles and Heaviside functions. The Boundary Integral Equation is obtained using the fundamental solution, Divergence theorem, Green Id... Show More
  • Derivation of Turbulent Energy in Presence of Dust Particles

    Shams Forruque Ahmed

    Issue: Volume 1, Issue 4, October 2013
    Pages: 71-77
    Received: 14 October 2013
    Published: 10 November 2013
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    Abstract: Energy equation for dusty fluid turbulent flow has been derived in terms of correlation tensors of second order. In presence of dust particles, mathematical modeling of turbulent energy is discussed including the correlation between the pressure fluctuations and velocity fluctuations at two points of the flow field, where the correlation tensors ar... Show More
  • Effect of an Adiabatic Fin on Natural Convection Heat Transfer in a Triangular Enclosure

    Sreebash C Paul, Suvash C. Saha, Y. T. Gu

    Issue: Volume 1, Issue 4, October 2013
    Pages: 78-83
    Received: 20 October 2013
    Published: 10 November 2013
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    Abstract: Natural convection thermal boundary layer adjacent to the heated inclined wall of a right angled triangle with an adiabatic fin attached to that surface is investigated by numerical simulations. The finite volume based unsteady numerical model is adopted for the simulation. It is revealed from the numerical results that the development of the bound... Show More
  • Mathematical Model for Determining the Effect of Government Policies on Nigerians’ Standard of Living and the Achievement of Economic Comfort in Nigeria

    Ogwumu, David. O, James Friday. E

    Issue: Volume 1, Issue 4, October 2013
    Pages: 84-91
    Received: 4 October 2013
    Published: 20 November 2013
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    Abstract: The research is concerned with the development of a mathematical model for determining the Effect of Government Policies on Nigerians’ Standard of Living which when not properly handled in turn could hamper the economic comfort of the country at large. The model was validated and observations about the model’s results and the questionnaire data (be... Show More