Applied and Computational Mathematics

Volume 4, Issue 4, August 2015

  • Existence Theorem for Abstract Measure Delay Integro-Differential Equations

    S. S. Bellale, S. B. Birajdar, D. S. Palimkar

    Issue: Volume 4, Issue 4, August 2015
    Pages: 225-231
    Received: May 17, 2015
    Accepted: Jun. 01, 2015
    Published: Jun. 25, 2015
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    Abstract: In this paper, we have proved the existence and uniqueness results for an abstract measure delay integro-differential equation by using Leray-Schauder nonlinear alternative under certain Caratheodory conditions. The various aspects of the solutions of the abstract measure integro-differential equations have been studied in the literature using the ... Show More
  • Effect of Hall Current on Unsteady MHD Couette Flow and Heat Transfer of Nanofluids in a Rotating System

    Ahmada Omar Ali, Oluwole Daniel Makinde, Yaw Nkansah-Gyekye

    Issue: Volume 4, Issue 4, August 2015
    Pages: 232-244
    Received: May 25, 2015
    Accepted: Jun. 07, 2015
    Published: Jun. 25, 2015
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    Abstract: The Hall effect on MHD Couette flow and heat transfer between two parallel plates in a rotating channel is investigated. A uniform magnetic field is applied normal to the plates and the flow is induced by the effects of Coriolis force, moving upper plate and the constant pressure gradients. Cu-water, Al2O3-water and TiO2-water nanofluids are compar... Show More
  • Homotopy Method for Solving Finite Level Fuzzy Nonlinear Integral Equation

    Alan Jalal Abdulqader

    Issue: Volume 4, Issue 4, August 2015
    Pages: 245-257
    Received: May 23, 2015
    Accepted: Jun. 06, 2015
    Published: Jun. 29, 2015
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    Abstract: In this paper, non – linear finite fuzzy Volterra integral equation of the second kind (NFVIEK2) is considered. The Homotopy analysis method will be used to solve it, and comparing with the exact solution and calculate the absolute error between them. Some numerical examples are prepared to show the efficiency and simplicity of the method.
  • Population Dynamics Model for Coexistence of Three Interacting Species

    M. Rafique, M. Abdul Qader

    Issue: Volume 4, Issue 4, August 2015
    Pages: 258-263
    Received: May 31, 2015
    Accepted: Jun. 11, 2015
    Published: Jun. 29, 2015
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    Abstract: Over the years applications of mathematics in the form of mathematical modeling in a whole range of different fields including physical, social, management, biological, and medical sciences have broken all bounds. In particular, the mathematical models to study population dynamics of various interacting species in an isolated environment have attra... Show More
  • Epidemiological Modeling of Measles Infection with Optimal Control of Vaccination and Supportive Treatment

    Okey Oseloka Onyejekwe, Esayas Zewdie Kebede

    Issue: Volume 4, Issue 4, August 2015
    Pages: 264-274
    Received: May 19, 2015
    Accepted: Jun. 09, 2015
    Published: Jul. 01, 2015
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    Abstract: We consider an SEIR model with constant population size and formulate an optimal control problem subject to vaccination and supportive treatment as controls. Our aim is to find the optimal combination of vaccination and supportive treatment strategies that will minimize the cost of the two control measures as well as the number of infectives while ... Show More
  • An Efficient Scheme of Differential Quadrature Based on Upwind Difference for Solving Two-dimensional Heat Transfer Problems

    Abdul-Sattar Jaber Ali Al-Saif

    Issue: Volume 4, Issue 4, August 2015
    Pages: 275-285
    Received: May 29, 2015
    Accepted: Jun. 16, 2015
    Published: Jul. 02, 2015
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    Abstract: In this paper, a new technique of differential quadature method called the upwind difference - differential quadature method (UDDQM) for solving two-dimensional heat transfer (convection-diffusion) problems is proposed. Also, investigated the effects of physical quantities on behavior of flow problems, and combined effects of upwind difference mech... Show More
  • The Taylor-SPH Meshfree Method: Basis and Validation

    H. Idder, M. Mabssout, M. I. Herreros

    Issue: Volume 4, Issue 4, August 2015
    Pages: 286-295
    Received: Feb. 01, 2015
    Accepted: Feb. 01, 2015
    Published: Jul. 02, 2015
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    Abstract: This paper presents the basis and validation of the Taylor-SPH meshless method formulated in terms of stresses and velocities which can be applied to Solid Dynamic problems. The proposed method consists of applying first the time discretization by means of a Taylor series expansion in two steps and a corrected SPH method for the space discretizatio... Show More
  • Optimal Control of a Threatened Wildebeest-lion Prey-predator System Incorporating a Constant Prey Refuge in the Serengeti Ecosystem

    Thadei Damas Sagamiko, Nyimvua Shaban, Cuthbert Leonard Nahonyo, Oluwole Daniel Makinde

    Issue: Volume 4, Issue 4, August 2015
    Pages: 296-312
    Received: Jun. 29, 2015
    Accepted: Jul. 09, 2015
    Published: Jul. 17, 2015
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    Abstract: In this paper a two species prey-predator model is developed in which prey is wildebeest and predator is lion and both are threatened by poaching, drought and diseases.The system is found in the Serengeti ecosystem.The model is constructed based on Holling type II functional response incorporating a constant prey refuge. We apply optimal control th... Show More
  • Mathematical Modelling of the Transmission Dynamics of Ebola Virus

    Amenaghawon C. Osemwinyen, Aboubakary Diakhaby

    Issue: Volume 4, Issue 4, August 2015
    Pages: 313-320
    Received: May 30, 2015
    Accepted: Jun. 29, 2015
    Published: Jul. 18, 2015
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    Abstract: The study simulated the transmission dynamics of Ebola Zaire virus using two models: a modified SIR model with the understanding that the recovered can become infected again and the infected die at a certain rate and a quarantine model, which ascertained the effects of quarantining the infected. Furthermore, an appropriate system of Ordinary Differ... Show More
  • Dynamical Systems and Network Flows: Traffic Flow Problem on Multi-lane Intersections (Economic Analysis)

    Tarekegn Mitiku Agajie

    Issue: Volume 4, Issue 4, August 2015
    Pages: 321-330
    Received: Jul. 02, 2015
    Accepted: Jul. 10, 2015
    Published: Jul. 29, 2015
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    Abstract: Nowadays due to rapid population growth and hence increasing demand for transportation, traffic congestion at road intersections become a serious problem for developed as well as developing countries. Traffic congestion causes considerable costs due to unproductive time losses, extra fuel consumption, accidents and also has a negative impact on the... Show More
  • The General Forms of the Multiple-Soliton Solutions for the Completely Integrable Equations by Using the Simplest Equation Method

    Sen-Yung Lee, Chun-Ku Kuo

    Issue: Volume 4, Issue 4, August 2015
    Pages: 331-334
    Received: Jun. 23, 2015
    Accepted: Aug. 06, 2015
    Published: Aug. 14, 2015
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    Abstract: The simplest equation method with the Burgers’ equation as the simplest equation is used to handle two completely integrable equations, the KdV equation and the potential KdV equation. The general forms of the multiple-soliton solutions are formally established. It is shown that the simplest equation method may provide us with a straightforward and... Show More