Applied and Computational Mathematics

Volume 4, Issue 5, October 2015

  • The General Form of Linearized Exact Solution for the KdV Equation by the Simplest Equation Method

    Sen-Yung Lee, Chun-Ku Kuo

    Issue: Volume 4, Issue 5, October 2015
    Pages: 335-341
    Received: Jun. 29, 2015
    Accepted: Aug. 05, 2015
    Published: Aug. 19, 2015
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    Abstract: The general form of linearized exact solution for the Korteweg and de Vries (KdV) equation, with an arbitrary nonlinear coefficient, is derived by the simplest equation method with the Bernoulli equation as the simplest equation. It is shown that the proposed exact solution overcomes the long existing problem of discontinuity and can be successfull... Show More
  • On a Subclass of Close-to-Convex Functions Associated with Fixed Second Coefficient

    Selvaraj Chellian, Stelin Simpson, Logu Sivalingam

    Issue: Volume 4, Issue 5, October 2015
    Pages: 342-345
    Received: Jul. 18, 2015
    Accepted: Aug. 03, 2015
    Published: Aug. 19, 2015
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    Abstract: We consider a subclass of univalent functions f (z) for which there corresponds a convex function g(z) of order α such that Re(zf'(z) / g(z)) ≥ β. We investigate the influence of the second coefficient of g(z) on this class. We also prove distortion, covering, and radius of convexity theorems
  • Numerical Study of Convective Heat Transfer on the Power Law Fluid over a Vertical Exponentially Stretching Cylinder

    M. Naseer, M. Y. Malik, Abdul Rehman

    Issue: Volume 4, Issue 5, October 2015
    Pages: 346-350
    Received: Jun. 18, 2015
    Accepted: Jun. 27, 2015
    Published: Aug. 21, 2015
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    Abstract: The present paper is the study of boundary layer flow and heat transfer of Power law fluid flowing over a vertical exponentially stretching cylinder along its axial direction. The governing partial differential equations and the associated boundary conditions are reduced to nonlinear ordinary differential equations after using the boundary layer ap... Show More
  • Effect of Varying StepSizes in Numerical Approximation of Stochastic Differential Equations Using One Step Milstein Method

    Sunday Jacob Kayode, Akeem Adebayo Ganiyu

    Issue: Volume 4, Issue 5, October 2015
    Pages: 351-362
    Received: Aug. 13, 2015
    Accepted: Aug. 28, 2015
    Published: Sep. 09, 2015
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    Abstract: This paper examines the effect of varying stepsizes in finding the approximate solution of stochastic differential equations (SDEs). One step Milstein method (MLSTM) for solution of general first order stochastic differential equations (SDEs) has been derived using Itô Lemma and Euler-Maruyama Method as supporting tools. Two problems in the form of... Show More
  • Sensitivity Analysis of Parameters in a Competition Model

    Frank Nathan Ngoteya, Yaw Nkansah-Gyekye

    Issue: Volume 4, Issue 5, October 2015
    Pages: 363-368
    Received: Aug. 27, 2015
    Accepted: Sep. 08, 2015
    Published: Sep. 22, 2015
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    Abstract: Competition models may be used by ecologists as basic guidelines in analyzing issues that contribute to the decline of species population. To be used for that purpose, a mathematical model must be prudently parameterized. Therefore, this paper examines the effects of interference competition by lions with human–related mortality to the population d... Show More
  • Application Chebyshev Polynomials for Determining the Eigenvalues of Sturm-Liouville Problem

    Dong Yun Shen, Yong Huang

    Issue: Volume 4, Issue 5, October 2015
    Pages: 369-373
    Received: Aug. 31, 2015
    Accepted: Sep. 11, 2015
    Published: Sep. 22, 2015
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    Abstract: This paper discusses the eigenvalue problem of second-order Sturm-Liouville equation. We transform the governing differential equation to the Fredholm-Volterra integral equation with appropriate end supports. By expanding the unknown function into the shifted Chebyshev polynomials, we directly get the corresponding polynomial characteristic equatio... Show More
  • Modeling Oil Palm Nutrient Management Using Linear Goal Programming

    Rida Agustina, Habibis Saleh, M. D. H. Gamal

    Issue: Volume 4, Issue 5, October 2015
    Pages: 374-378
    Received: Aug. 28, 2015
    Accepted: Sep. 11, 2015
    Published: Sep. 25, 2015
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    Abstract: This paper describes a mathematical model for a good mixture of fertilizer levels using goal programming technique for oil palm plantations so that the oil palm plants produce high quality fruit. Goal programming used is preemptive goal programming. Computational results indicates that the determination of the optimal the mix of fertilizer using go... Show More
  • The Impact of Increasing Input Costs to the Farmers in Cotton Production in Tanzania

    Busheni Dome, Dmitry Kuznetsov, Yaw Nkansah-Gyekye

    Issue: Volume 4, Issue 5, October 2015
    Pages: 379-386
    Received: Aug. 28, 2015
    Accepted: Sep. 11, 2015
    Published: Sep. 25, 2015
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    Abstract: The persistence of increasing input costs has effects to the farmers in the process of cotton production. These input costs can be in terms of pesticides, seeds, fertilizers, sprayers and the like, that have a real contribution towards cotton outputs per hectare. This paper intended to analyze effects of increasing input costs to the cotton farmers... Show More