American Journal of Applied Mathematics

Archive

Volume 3, Issue 1, February 2015

  • Carleman Approximation on Riemannian Manifolds by Harmonic Functions with Newtonian Singularities

    Pierre Blanchet

    Issue: Volume 3, Issue 1, February 2015
    Pages: 1-3
    Received: 5 October 2014
    Accepted: 28 December 2014
    Published: 14 January 2015
    DOI: 10.11648/j.ajam.20150301.11
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    Abstract: In 1927, it was proved by Carleman that the real line was a set of Carleman approximation by entire functions. In this paper, the analogous problem for harmonic approximation on Riemannian manifolds is discussed.
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  • A Fixed Point Theorem on Reciprocally Continuous Self Mapping under Menger Space

    Neha Jain, Rajesh Shrivastava, K. Qureshi

    Issue: Volume 3, Issue 1, February 2015
    Pages: 4-7
    Received: 3 April 2014
    Accepted: 25 April 2014
    Published: 15 January 2015
    DOI: 10.11648/j.ajam.20150301.12
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    Abstract: The Fixed Point Theorem had been proved on Reciprocally Continuous Self Mapping. In this paper the fixed point theorem on reciprocally continuous self mapping is proved under Menger Space.
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  • Numerical Experiment with the Construction of a Control Operator Applied in ECGM Algorithm

    Felix Makanjuola Aderibigbe, Bosede Ojo, Kayode James Adebayo

    Issue: Volume 3, Issue 1, February 2015
    Pages: 8-13
    Received: 25 December 2014
    Accepted: 10 January 2015
    Published: 20 January 2015
    DOI: 10.11648/j.ajam.20150301.13
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    Abstract: In this paper, we constructed a control operator, G, which enables an Extended Conjugate Gradient Method (ECGM) to be employed in solving for the optimal control and trajectories of continuous time linear regulator problems. Similar operators constructed in the past by various authors have limited application. This call for the construction of the ... Show More
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  • Numerical Solution of Mixed Convective Laminar Boundary Layer Flow around a Vertical Slender Body with Suction or Blowing

    Md. Hasanuzzaman, Masud Rabbani, M. M. Touhid Hossain, M. Arif Hossain, R. Nandi

    Issue: Volume 3, Issue 1, February 2015
    Pages: 14-20
    Received: 17 November 2014
    Accepted: 27 November 2014
    Published: 27 January 2015
    DOI: 10.11648/j.ajam.20150301.14
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    Abstract: In this paper, the numerical solution of mixed convective laminar boundary layer flow around a vertical slender body with suction or blowing has been investigated. Firstly, the governing boundary layer partial differential equations have been made dimensionless and then simplified by using Boussinesq approximation. Secondly, similarity transformati... Show More
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  • Transport Equation for the Joint Distribution Functions of Certain Variables in Convective Dusty Fluid Turbulent Flow in a Rotating System under Going a First Order Reaction

    M. A. K. Azad, Mst. Mumtahinah, M. A. Bkar Pk

    Issue: Volume 3, Issue 1, February 2015
    Pages: 21-30
    Received: 31 December 2014
    Accepted: 18 January 2015
    Published: 30 January 2015
    DOI: 10.11648/j.ajam.20150301.15
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    Abstract: In this paper, the joint distribution functions for simultaneous velocity, temperature, concentration fields in turbulent flow under going a first order reaction in a rotating system in presence of dust particles have been studied. The various properties of the constructed joint distribution functions such as, reduction property, separation propert... Show More
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