Applied and Computational Mathematics

Volume 3, Issue 4, August 2014

  • A Variational Method in the Sturm-Liouville Problem with the Neumann and Dirichlet Boundary Values

    Khapaeva Tatiana Mikhailovna

    Issue: Volume 3, Issue 4, August 2014
    Pages: 117-120
    Received: Jun. 04, 2014
    Accepted: Jul. 04, 2014
    Published: Jul. 20, 2014
    Downloads:
    Views:
    Abstract: A variational method for calculation of the eigenfunctions and eigenvalues in the Sturm-Liouville problem with the Neumann boundary values is offered. The method is based on a functional, which is introduced in this work. An appropriate numerical algorithm is developed. Calculations for the three potentials are produced: sin((x-π)2/π), cos(4x) and ... Show More
  • The Relationship between the Condition Number, RGA and Interaction in Multivariable Systems

    Aref Shahmansoorian, Sahar Jamebozorg

    Issue: Volume 3, Issue 4, August 2014
    Pages: 121-124
    Received: Jun. 17, 2014
    Accepted: Jul. 08, 2014
    Published: Jul. 20, 2014
    Downloads:
    Views:
    Abstract: One of the most widely used input and output controllability measure is relative gain array (RGA). RGA measures input-output interaction in multi input multi output (MIMO) systems. The other significant measure in use is the smallest singular value of frequency subordinate. The condition number is defined as the ratio between the largest and smalle... Show More
  • Modelling the Migratory Population Dynamics of the Serengeti Ecosystem

    Janeth James Ngana, Livingstone Serwadda Luboobi, Dmitry Kuznetsov

    Issue: Volume 3, Issue 4, August 2014
    Pages: 125-129
    Received: Jul. 07, 2014
    Accepted: Jul. 15, 2014
    Published: Jul. 30, 2014
    Downloads:
    Views:
    Abstract: Many ecological studies have tried to explain the animal migrations, but none has embarked on modeling the Great Migration and its impact on the migratory animals’ population dynamics, in combination with food and the impact of predation. In this paper, we present a mathematical model of the four dynamic Ordinary Differential Equations of Grass, He... Show More
  • Generalized Difference Formula for a Nonlinear Equation

    Hamideh Eskandari

    Issue: Volume 3, Issue 4, August 2014
    Pages: 130-136
    Received: Jul. 12, 2014
    Accepted: Jul. 22, 2014
    Published: Jul. 30, 2014
    Downloads:
    Views:
    Abstract: In this paper, a new iteration scheme is proposed to solve the roots of a nonlinear equation. It is the purpose of this paper to show that, although the new iteration method seems to be of high convergence, the results are promising in that it requires more computation work and even be divergent. In here, we use iteration method that applied deriva... Show More
  • Theory and Application of the Generalized Integral Representation Method (GIRM) in Advection Diffusion Problem

    H. Isshiki

    Issue: Volume 3, Issue 4, August 2014
    Pages: 137-149
    Received: Jul. 09, 2014
    Accepted: Jul. 29, 2014
    Published: Aug. 10, 2014
    Downloads:
    Views:
    Abstract: The integral representation is developed for linear initial and boundary value problems. The fundamental solution is defined by the linear differential equation with constant coefficients and plays a key role in obtaining the integral representation. This becomes a very strong constraint in developing the theory to nonlinear problems. In the presen... Show More
  • Modeling and Stability Analysis for a Varicella Zoster Virus Model with Vaccination

    Stephen Edward, Dmitry Kuznetsov, Silas Mirau

    Issue: Volume 3, Issue 4, August 2014
    Pages: 150-162
    Received: Jul. 30, 2014
    Accepted: Aug. 08, 2014
    Published: Aug. 20, 2014
    Downloads:
    Views:
    Abstract: In this paper, a deterministic mathematical model for transmission dynamics of Varicella Zoster Virus (VZV) with vaccination is formulated. The effective reproduction number is computed in order to measure the relative impact for individual or combined intervention for effective disease control. The effective reproductive number, R_e is defined as ... Show More
  • Regularized Minimum Length Method in Scattered Data Interpolation

    Guang Y. Sheu

    Issue: Volume 3, Issue 4, August 2014
    Pages: 163-170
    Received: Aug. 03, 2014
    Accepted: Aug. 15, 2014
    Published: Aug. 20, 2014
    Downloads:
    Views:
    Abstract: In an attempt of accumulating more experiences of interpolating scattered data using the minimum length method, this study chooses new kernel functions from the machine learning technique to implementing this minimum length method. But, consulting with the regularization theory, a regularized minimum length method is created by solving coefficient ... Show More
  • Mathematical Model for the Population Dynamics of the Serengeti Ecosystem

    Janeth James Ngana, Livingstone Serwadda Luboobi, Dmitry Kuznetsov

    Issue: Volume 3, Issue 4, August 2014
    Pages: 171-176
    Received: Aug. 11, 2014
    Accepted: Aug. 23, 2014
    Published: Aug. 30, 2014
    Downloads:
    Views:
    Abstract: Several ecological studies have tried to model the population dynamics of the ungulate migratory animals individually without including the food and predation factors in the models. In this paper, we analyze the population dynamics for herbivores, carnivores and the grass volume using the secondary data from the years 1996-2006. The lions’ data did... Show More
  • Analysis of the Irrigation Water Price in Rice Production Tanzania

    Amos Michael, Dmitry Kuznetsov, Silas Mirau

    Issue: Volume 3, Issue 4, August 2014
    Pages: 177-185
    Received: Aug. 12, 2014
    Accepted: Aug. 23, 2014
    Published: Aug. 30, 2014
    Downloads:
    Views:
    Abstract: Over the past 50 years, cross-sectoral water utilization in Tanzania has grown considerably due to the increase of human populations which increasing food demands and growing of economic activities that require water in production. The agriculture sector is one of the major users of water resource for irrigation activities. The purpose of this pape... Show More
  • Construction of Generalized Coordinates’ Basis Functions in Lagrangian Dynamics of Flat Manipulators

    Bagautdinov Ildar Nyrgaiazovich, Pavlov Alexander Ivanovich, Zhuravlev Evgeny Alekseevich, Bogdanov Evgeny Nikolaevich

    Issue: Volume 3, Issue 4, August 2014
    Pages: 186-190
    Received: Aug. 13, 2014
    Accepted: Aug. 29, 2014
    Published: Sep. 20, 2014
    Downloads:
    Views:
    Abstract: Second order Lagrange equations are used for describing dynamics of planar mechanism with rotation joints. For calculating kinetic energy of the links local coordinates of velocity vectors are used as well as recursive matrix transformations. Kinetic energy quadratic form coefficients are represented by linear combinations of seven independent trig... Show More