Applied and Computational Mathematics

Volume 7, Issue 2, April 2018

  • An Analytical Solution for Queue: M/D/1 with Balking

    Kotb Abdel Hamid Kotb, Moamer Akhdar

    Issue: Volume 7, Issue 2, April 2018
    Pages: 31-39
    Received: 17 January 2018
    Accepted: 31 January 2018
    Published: 27 February 2018
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    Abstract: In this paper we examine the how to of deriving analytical solution in steady-state for non-truncated single-server queueing and service time are fixed (deterministic) with addition the concept balking, using iterative method and the probability generating function. Some measures of effecting of queuing system are obtained using a smooth and logica... Show More
  • Feedback of a Non-Truncated Erlang Queuing System with Balking and Retention of Reneged Customers

    Kotb Abdel Hamid Kotb, Moamer Akhdar

    Issue: Volume 7, Issue 2, April 2018
    Pages: 40-49
    Received: 17 January 2018
    Accepted: 31 January 2018
    Published: 27 February 2018
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    Abstract: The aim of this paper is to derive the analytical solution of the non-truncated single-channel Erlangian queue: M/Ek/1 at the steady-state with adding the concepts of balking, feedback strategy and retention of reneged customers. We obtain the probabilities that there are n customers in the system and the customers in the service occupces stage s, ... Show More
  • New Explicit Exact Solutions of the One-Dimensional Parabolic-Parabolic Keller-Segel Model

    Lihua Zhang, Lixin Ma, Fengsheng Xu

    Issue: Volume 7, Issue 2, April 2018
    Pages: 50-57
    Received: 30 January 2018
    Accepted: 11 February 2018
    Published: 07 March 2018
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    Abstract: One-dimensional parabolic-parabolic Keller-Segel (PP-KS) model of chemotaxis is considered. By using the generalized tanh function method, G'(/G)-expansion method and variable-separating method, plenty of new explicit exact solutions, including travelling wave solutions and non-travelling wave solutions, are obtained for the PP-KS model. Compared t... Show More
  • Solving Variable-Coefficient Fourth-Order ODEs with Polynomial Nonlinearity by Symmetric Homotopy Method

    Abdrhaman Mahmoud, Bo Yu, Xuping Zhang

    Issue: Volume 7, Issue 2, April 2018
    Pages: 58-70
    Received: 04 February 2018
    Accepted: 24 February 2018
    Published: 22 March 2018
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    Abstract: In this paper, the eigenfunction expansion method (EEM) is applied to find numerical solutions for variable-coefficient fourth-order ordinary differential equations (ODEs) with polynomial nonlinearity. The symmetry of the solution set for the resulting system of polynomial equations obtained from EEM of the problem is analyzed. The symmetric homoto... Show More
  • Modelling Assessment on Causes of Road Accidents Along Kilimanjaro-Arusha Highway in Tanzania

    Vicent Paul Nyakyi

    Issue: Volume 7, Issue 2, April 2018
    Pages: 71-74
    Received: 15 February 2018
    Accepted: 20 March 2018
    Published: 15 May 2018
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    Abstract: This paper aims on assessing the risk factors which are associated to the cause of road accidents in Kilimanjaro-Arusha highway 78.46km. Road accidents have been one of the paramount road cases in Tanzania. However, when ensuring road safety rules in Tanzania, it is important to assess the nature and causes of road accidents in the country. It is a... Show More