Applied and Computational Mathematics

Volume 2, Issue 6, December 2013

  • An Effective Scheme for Estimating a Smoother Parameter in the Method of Regularization

    Hongmei Bao, Kaoru Fueda

    Issue: Volume 2, Issue 6, December 2013
    Pages: 118-123
    Received: Aug. 28, 2013
    Accepted:
    Published: Oct. 20, 2013
    Downloads:
    Views:
    Abstract: We had proposed a scheme for the surface approximation which consists of the estimation by the regularization method and the evaluation by generalized CV with an influence function [1]. We have to decide the value of the optimal smoother parameter which can minimize the value of the evaluation function. Among the models which have suitable paramete... Show More
  • Multi Item Inventory Model With Demand Dependent On Unit Cost And Varying Lead Time Under Fuzzy Unit Production Cost; A Karush Kuhn Tucker Conditions Approach

    P. Vasanthi, C. V. Seshaiah

    Issue: Volume 2, Issue 6, December 2013
    Pages: 124-126
    Received: Sep. 17, 2013
    Accepted:
    Published: Nov. 10, 2013
    Downloads:
    Views:
    Abstract: A multi item inventory model with demand dependent on unit price and leading time with limited storage space and set up cost is considered in this paper. The varying production and leading time crashing costs are considered to be continuous functions of unit price and leading time respectively. The model is solved using Karush Kuhn Tucker condition... Show More
  • On Geometries in Affine Plane

    Abdullah Kurudirek, Hüseyin Akça, Mehmet Erdoğan

    Issue: Volume 2, Issue 6, December 2013
    Pages: 127-129
    Received: Sep. 30, 2013
    Accepted:
    Published: Nov. 20, 2013
    Downloads:
    Views:
    Abstract: So far, in different articles and books the concepts of modern definition of geometry and Minkowskian, Galilean planes and spaces have been introduced. In this paper, we are going to describe geometry that is improved by W. Thurston and then we are going to introduce you to geometries that are suitable to this description in 2 dimensional planes.
  • The Synchronization of Identical Memristors Systems Via Lyapunov Direct Method

    Shko A. TAHIR

    Issue: Volume 2, Issue 6, December 2013
    Pages: 130-136
    Received: Oct. 13, 2013
    Accepted:
    Published: Nov. 20, 2013
    Downloads:
    Views:
    Abstract: In this paper, we use Lyapunov direct method to analyze two identical Memristors systems and synchronization phenomena were discussed. The designed controllers were capable of making the time derivative of the Lyapunov’s negative definite functions where these results give guarantees of stability of the error dynamics at the origin and proved the r... Show More
  • Comments on the Adomian Decomposition Methods Applied to the KdV Equation

    Mahmoud AKDI, Moulay Brahim SEDRA

    Issue: Volume 2, Issue 6, December 2013
    Pages: 137-142
    Received: Sep. 30, 2013
    Accepted:
    Published: Nov. 20, 2013
    Downloads:
    Views:
    Abstract: Based on previous works, especially [1] and [2], we try in the present contribution to study some new aspects of the numerical solution of the KdV equation through the standard Adomian Decomposition Method. The use of the multistage Adomian Decomposition Method, applied to this equation, will be presented and discussed.
  • The Study of Heat Transfer Phenomena Using PM for Approximate Solution with Dirichlet and Mixed Boundary Conditions

    U. Filobello-Nino, H. Vazquez-Leal, A. Sarmiento-Reyes, A. Perez-Sesma, L. Hernandez-Martinez, A. Herrera-May, V. M. Jimenez-Fernandez, A. Marin-Hernandez, D. Pereyra-Diaz, A. Diaz-Sanchez

    Issue: Volume 2, Issue 6, December 2013
    Pages: 143-148
    Received: Oct. 28, 2013
    Accepted:
    Published: Nov. 30, 2013
    Downloads:
    Views:
    Abstract: In this paper, we present Perturbation Method (PM) to solve nonlinear problems. As case study PM is employed to obtain approximate solutions for differential equations related with heat transfer phenomena. Comparing figures between approximate and exact solutions, show the effectiveness of the method.
  • Multi-Item EOQ Model with Demand Dependent on Unit Price

    R. Kasthuri, C. V. Seshaiah

    Issue: Volume 2, Issue 6, December 2013
    Pages: 149-151
    Received: Nov. 11, 2013
    Accepted:
    Published: Dec. 20, 2013
    Downloads:
    Views:
    Abstract: A multi-item inventory model with demand dependent on unit cost without shortages is discussed in this paper. This paper presents a mathematical model of inventory control problem for determining the minimum total cost with limited storage space and investment. Apart from this, the warehouse space in the selling store is considered in volume. The... Show More
  • Exact Solutions of two-Dimensional Nonlinear Schrödinger Equations with External Potentials

    Nalan Antar, Nevin Pamuk

    Issue: Volume 2, Issue 6, December 2013
    Pages: 152-158
    Received: Dec. 12, 2013
    Accepted:
    Published: Dec. 30, 2013
    Downloads:
    Views:
    Abstract: In this paper, exact solutions of two-dimensional nonlinear Schrödinger equation with kerr, saturable and quintic type of nonlinearities are studied by means of the Homotopy analysis method (HAM). Linear stability properties of these solutions are investigated by the linearized eigenvalue problem. We also investigate nonlinear stability properties ... Show More
  • Neural Network Method for Numerical Solution of Initial Value Problems of Fractional Differential Equations

    Luo Xiaodan, Junmin Zhang

    Issue: Volume 2, Issue 6, December 2013
    Pages: 159-162
    Received: Dec. 13, 2013
    Accepted:
    Published: Jan. 10, 2013
    Downloads:
    Views:
    Abstract: In this paper, the cosine basis neural network algorithm is introduced for the initial value problem of fractional differential equations. By training the neural network algorithm, we get the numerical solution of the initial value problem of fractional differential equations successfully.