Applied and Computational Mathematics

Volume 6, Issue 2, April 2017

  • The Global Exponential Stability Analysis of Nonlinear Dynamic System and Application

    Li Xiao, Junjie Bao, Xi Shi

    Issue: Volume 6, Issue 2, April 2017
    Pages: 68-74
    Received: 31 January 2017
    Accepted: 14 February 2017
    Published: 6 March 2017
    Abstract: This paper studies the global exponential stability for a class of nonlinear dynamical systems. A new state feedback controller is designed, which can effectively stabilize this kind of nonlinear system to the equilibrium point at exponential rate. The feasibility of the method is proved theoretically, and an algorithm is systematically proposed to... Show More
  • A Combined Analytic and Numerical Procedure for Stagnation-Point Flow

    Okey Oseloka Onyejekwe

    Issue: Volume 6, Issue 2, April 2017
    Pages: 75-82
    Received: 8 January 2017
    Accepted: 7 February 2017
    Published: 14 March 2017
    Abstract: The two dimensional vector form of the Navier-Stokes equation is reduced to a fourth–order equation for the streamfunction. Boundary conditions arise from considerations of the no-slip constraint at the surface as well the interaction of viscous flow with potential-flow at the edge of the boundary layer. By employing a separation of variables techn... Show More
  • Analytical Relation Between the Concentration of Species at the Electrode Surface and Current for Quasi-Reversible Reactions

    S. Pavithra, L. Rajendran, Sunil Kumar

    Issue: Volume 6, Issue 2, April 2017
    Pages: 83-87
    Received: 23 February 2017
    Accepted: 14 March 2017
    Published: 27 March 2017
    Abstract: Cyclic voltammetry take into account the mass transport of species and the kinetics at the electrode surface. Analytical solutions of these models are not well-known due to the complexity of the boundary conditions. In this study we present analytical relation between the concentration at the electrode surface and the current for quasi-reversible r... Show More
  • Special Case Algorithm for N-jobs M-machines Flow Shop Scheduling Problems

    Geleta Tadele Mohammed

    Issue: Volume 6, Issue 2, April 2017
    Pages: 88-92
    Received: 10 February 2016
    Accepted: 29 December 2016
    Published: 7 April 2017
    Abstract: In this paper we have developed an algorithm for n-jobs with m-machine flow shop scheduling problems in order to handle variety of data type than Geleta [3]. In other hands, as in Geleta [3] it main objective is how to obtain optimal sequence of jobs with aim of minimum squared value of lateness.
  • A Holistic Review of Soft Computing Techniques

    Philip O. Omolaye, Joseph M. Mom, Gabriel A. Igwue

    Issue: Volume 6, Issue 2, April 2017
    Pages: 93-110
    Received: 15 February 2017
    Accepted: 17 March 2017
    Published: 10 April 2017
    Abstract: Due to notable technological convergence that brought about exponential growth in computer world, Soft Computing (SC) has played a vital role with automation capability features to new levels of complex applications. In this research paper, the authors reviewed journals related to the subject matter with the aim of striking a convincing balance bet... Show More
  • Mathematical Model for Bio-directional Diffusion of Reactants and Products in the Enzymatic Reaction of Glucose in a Spherical Matrix

    K. Saranya, V. Mohan, L. Rajendran

    Issue: Volume 6, Issue 2, April 2017
    Pages: 111-128
    Received: 15 March 2017
    Accepted: 28 March 2017
    Published: 27 April 2017
    Abstract: In this paper the theoretical model of glucose–oxidaise loaded in chitosan-aliginate microsphere and hydrogen peroxide production is discussed. The glucose and oxygen in the medium diffuse into the microsphere and react, as a catalyst by glucose oxidase, to produce gluconic acid and hydrogen peroxide. The model involves the system of nonlinear nons... Show More