Applied and Computational Mathematics

Volume 3, Issue 2, April 2014

  • On Optimization of a Coxian Queueing Model with Two Phases

    Vedat Sağlam, Merve Uğurlu, Erdinç Yücesoy, Müjgan Zobu, Murat Sağır

    Issue: Volume 3, Issue 2, April 2014
    Pages: 43-47
    Received: Jan. 30, 2014
    Accepted:
    Published: Mar. 20, 2014
    DOI: 10.11648/j.acm.20140302.11
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    Abstract: In this study we have obtained stochastic equation systems of a Coxian queueing model with two phases where arrival stream of this model is according to the exponential distribution with λ parameter. The service time of any customer at server i (i=1,2) is exponential with parameter μ_i. In addition we have obtained state probabilities of this que... Show More
  • Effect of Variable Thermal Conductivity on Heat and Mass Transfer Flow over a Vertical Channel with Magnetic Field Intensity

    Ime Jimmy Uwanta, Halima Usman

    Issue: Volume 3, Issue 2, April 2014
    Pages: 48-56
    Received: Mar. 30, 2014
    Accepted: Apr. 22, 2014
    Published: Apr. 30, 2014
    DOI: 10.11648/j.acm.20140302.12
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    Abstract: The objective of this paper is to study thermal conductivity and magnetic field intensity effects on heat and mass transfer flow over a vertical channel both numerically and analytically. The non-linear partial differential equations governing the flow are non-dimensionalised, simplified and solved using Crank Nicolson type of implicit finite diffe... Show More
  • Zeros and Asymptotic Limits of Löwdin Orthogonal Polynomials with a Unified View

    Ramesh Naidu Annavarapu, Vipin Srivastava

    Issue: Volume 3, Issue 2, April 2014
    Pages: 57-62
    Received: Mar. 27, 2014
    Accepted: Apr. 24, 2014
    Published: May 10, 2014
    DOI: 10.11648/j.acm.20140302.13
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    Abstract: The zeros and asymptotic limits of two new classes of orthogonal polynomials, which are derived by applying two orthogonalization procedures due to Löwdin to a set of monomials, are calculated. It is established that they possess all the properties ofthe zeros of a polynomial. Their asymptotic limits are found. A Unified view of all the Löwdin orth... Show More
  • Method for Integrating Tabular Functions that Considers Errors

    Vladimir V. Ternovski, Mikhail M. Khapaev

    Issue: Volume 3, Issue 2, April 2014
    Pages: 63-67
    Received: May 03, 2014
    Accepted: May 13, 2014
    Published: May 20, 2014
    DOI: 10.11648/j.acm.20140302.14
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    Abstract: If experimental tables are numerically integrated using quadrature formulas, then the measurement errors of the physical instrument is not taken into account. The result of such numerical integration will be inaccurate because of the accumulation of errors due to the summation of random values, and the residual term of the quadrature formula cannot... Show More