Applied and Computational Mathematics

Volume 4, Issue 6, December 2015

  • Asymptotic Method of Krylov-Bogoliubov-Mitropolskii for Fifth Order Critically Damped Nonlinear Systems

    Md. Nazrul Islam, Md. Mahafujur Rahaman, M. Abul Kawser

    Issue: Volume 4, Issue 6, December 2015
    Pages: 387-395
    Received: Aug. 26, 2015
    Accepted: Sep. 19, 2015
    Published: Sep. 29, 2015
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    Abstract: In oscillatory problems, the method of Krylov–Bogoliubov–Mitropolskii (KBM) is one of the most used techniques to obtain analytical approximate solution of nonlinear systems with a small non-linearity. This article modifies the KBM method to examine the solutions of fifth order critically damped nonlinear systems with four pairwise equal eigenvalue... Show More
  • A Mathematical Model for Control and Elimination of the Transmission Dynamics of Measles

    Stephen Edward, Kitengeso Raymond E., Kiria Gabriel T., Felician Nestory, Mwema Godfrey G., Mafarasa Arbogast P.

    Issue: Volume 4, Issue 6, December 2015
    Pages: 396-408
    Received: Aug. 10, 2015
    Accepted: Sep. 07, 2015
    Published: Sep. 29, 2015
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    Abstract: Despite the availability of measles vaccine since 1963, the infectious disease is still endemic in many parts of the world including developed nations. Elimination of measles requires maintaining the effective reproduction number less than unity, Re <1 as well as achieving low levels of susceptibility. Infectious diseases are great field for mat... Show More
  • Modeling the Dynamics of Rabies Transmission with Vaccination and Stability Analysis

    Tesfaye Tadesse Ega, Livingstone S. Luboobi, Dmitry Kuznetsov

    Issue: Volume 4, Issue 6, December 2015
    Pages: 409-419
    Received: Sep. 07, 2015
    Accepted: Sep. 21, 2015
    Published: Oct. 10, 2015
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    Abstract: In this paper we formulate a deterministic mathematical model for the transmission dynamics of rabies in human and animal within and around Addis Ababa, Ethiopia. Our model involves vaccination program for dog population. The basic reproduction number and effective reproduction numbers are computed and the results are entirely depending on the pa... Show More
  • A New Straightforward Method for Evaluating Singular Integrals

    Md. Habibur Rahaman, Md. Ashraful Huq, M. Kamrul Hasan

    Issue: Volume 4, Issue 6, December 2015
    Pages: 420-423
    Received: May 27, 2015
    Accepted: Jun. 03, 2015
    Published: Oct. 13, 2015
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    Abstract: A new more accurate straightforward method is presented for evaluating the singular integrals. A few methods in numerical analysis is useful for evaluating the integral where singularities arises, most of them uses extrapolation technique at singular point. This new method uses directly and gives better results and the Romberg integration of this f... Show More
  • Boundary Layer Flow and Heat Transfer of Micropolar Fluid over a Vertical Exponentially Stretched Cylinder

    Abdul Rehman, Razmak Bazai, Sallahuddin Achakzai, Saleem Iqbal, Muhammad Naseer

    Issue: Volume 4, Issue 6, December 2015
    Pages: 424-430
    Received: Sep. 14, 2015
    Accepted: Sep. 26, 2015
    Published: Oct. 15, 2015
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    Abstract: The current paper offers an analysis of the steady boundary layer flow and heat transfer of a non-Newtonian micropolar fluid flowing through a vertical exponentially stretching cylinder along its axial axis. The obtained system of nonlinear partial differential equations along with the appropriate boundary conditions is abridged to dimensionless fo... Show More
  • Modeling and Stability Analysis for Measles Metapopulation Model with Vaccination

    Leopard C. Mpande, Damian Kajunguri, Emmanuel A. Mpolya

    Issue: Volume 4, Issue 6, December 2015
    Pages: 431-444
    Received: Sep. 11, 2015
    Accepted: Sep. 26, 2015
    Published: Oct. 23, 2015
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    Abstract: In this paper, a metapopulation model is formulated as a system of ordinary differential equations to study the impact of vaccination on the spread of measles. The disease-free equilibrium is computed and proved to be locally and globally asymptotically stable if RC <1 and unstable if RC >1. We show that when there are no movements between th... Show More
  • FD-RBF for Partial Integro-Differential Equations with a Weakly Singular Kernel

    Jafar Biazar, Mohammad Ali Asadi

    Issue: Volume 4, Issue 6, December 2015
    Pages: 445-451
    Received: Sep. 25, 2015
    Accepted: Oct. 07, 2015
    Published: Oct. 23, 2015
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    Abstract: Finite Difference Method and Radial Basis Functions are applied to solve partial integro-differential equations with a weakly singular kernel. The product trapezoidal method is used to compute singular integrals that appear in the discretization process. Different RBFs are implemented and satisfactory results are shown the ability and the usefulnes... Show More
  • DIAGRID Generation Applied to X-shape Steel Tube of HSA800 with High Tensile Strength and Ductility

    Dongkyu Lee

    Issue: Volume 4, Issue 6, December 2015
    Pages: 452-455
    Received: Oct. 16, 2014
    Accepted: Oct. 30, 2014
    Published: Nov. 17, 2015
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    Abstract: This article proposes DIAGRID structural details locked in X-formed steel tube using HSA 800 steel with high tensile strength and superior ductility as a modification of an original DIAGRID version. The structural effectiveness of the new structural DIAGRID detail information is presented in this study using actual nonlinear static pushover analysi... Show More
  • Comparison of ARIMA Model and Exponential Smoothing Model on 2014 Air Quality Index in Yanqing County, Beijing, China

    Jie Zhu, Ruoling Zhang, Binbin Fu, Renhao Jin

    Issue: Volume 4, Issue 6, December 2015
    Pages: 456-461
    Received: Nov. 01, 2015
    Accepted: Nov. 09, 2015
    Published: Nov. 19, 2015
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    Abstract: In order to study the changes of air quality index (AQI) in Yanqing County, Beijing, China and predict the trend of AQI value, this paper constructed a time-series analysis.A non-stationary trend is found, and the ARIMA (1, 1, 2) model and Holt exponential smoothing model are found to sufficiently model the data. In comparison of these two model fi... Show More
  • Reliability Based Optimization with Metaheuristic Algorithms and Latin Hypercube Sampling Based Surrogate Models

    Liu Chu, Eduardo Souza De Cursi, Abdelkhalak El Hami, Mohamed Eid

    Issue: Volume 4, Issue 6, December 2015
    Pages: 462-468
    Received: Nov. 20, 2015
    Accepted: Nov. 29, 2015
    Published: Dec. 18, 2015
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    Abstract: Reliability based optimization (RBO) is one of the most appropriate methods for structural design under uncertainties. It searches for the best compromise between cost and safety while considering system uncertainties by incorporating reliability measures within the optimization. Despite the advantages of RBO, its application to practical engineeri... Show More