Pure and Applied Mathematics Journal

Volume 5, Issue 4, August 2016

  • Some New Results About Trigonometry in Finite Fields

    Habib Hosseini, Naser Amiri

    Issue: Volume 5, Issue 4, August 2016
    Pages: 93-96
    Received: 23 April 2016
    Accepted: 21 May 2016
    Published: 17 June 2016
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    Abstract: In this paper we study about trigonometry in finite field, we know that , the field with p elements, where p is a prime number if and only if p = 8k + 1 or p = 8k + 1 or p = 8k + 1 or p = 8k−1. Let F and K are two field, we say that F is an extension of K, if KF or there exist a monomorphism f: KF. recall that , F[x] is the ring o... Show More
  • Reduction of Mortality Rate Due to AIDS When Treatment Is Considered

    Udoy S. Basak

    Issue: Volume 5, Issue 4, August 2016
    Pages: 97-102
    Received: 16 May 2016
    Accepted: 28 May 2016
    Published: 18 June 2016
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    Abstract: AIDS is one of the most threatening diseases for human being that is caused by a virus named HIV. Here the reduction of the death rate after infected by AIDS has been discussed. A mathematical model of HIV has been formulated. Then its positivity and boundedness has been investigated. It has been shown that it is possible to minimize the mortality ... Show More
  • The 3-Block KSOR Method for Full Rank Rectangular Systems

    I. K. Youssef, Salwa M. Ali, M. A. Naser

    Issue: Volume 5, Issue 4, August 2016
    Pages: 103-107
    Received: 24 May 2016
    Accepted: 2 June 2016
    Published: 21 June 2016
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    Abstract: A new version of the KSOR method is considered to introduce the least squares solution of a full rank over determinant system of linear algebraic equations. The treatment depends on introducing an augmented non-singular square system through splitting the coefficient matrix A into two matrices A1, A2 with non-singular part, A1. Accordingly, a new v... Show More
  • The Problem of Countability of Highest Ordinals

    Alexey Pavlovich Kulaichev

    Issue: Volume 5, Issue 4, August 2016
    Pages: 108-112
    Received: 16 March 2016
    Accepted: 25 March 2016
    Published: 28 June 2016
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  • The QR Method for Determining All Eigenvalues of Real Square Matrices

    Eyaya Fekadie Anley

    Issue: Volume 5, Issue 4, August 2016
    Pages: 113-119
    Received: 23 November 2015
    Accepted: 3 December 2015
    Published: 23 July 2016
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    Abstract: Eigenvalues are special sets of scalars associated with a given matrix. In other words for a given matrix A, if there exist a non-zero vector V such that, AV= λV for some scalar λ, then λ is called the eigenvalue of matrix A with corresponding eigenvector V. The set of all nxm matrices over a field F is denoted by Mnm (F). If m... Show More
  • Numerical Solutions of Elliptic Partial Differential Equations by Using Finite Volume Method

    Eyaya Fekadie Anley

    Issue: Volume 5, Issue 4, August 2016
    Pages: 120-129
    Received: 23 October 2015
    Accepted: 16 November 2015
    Published: 23 July 2016
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    Abstract: Solution of Partial Differential Equations (PDEs) in some region R of the space of independent variables is a function, which has all the derivatives that appear on the equation, and satisfies the equation everywhere in the region R. Some linear and most nonlinear differential equations are virtually impossible to solve using exact solutions, so it... Show More
  • Memory Effects in Diffusion Like Equation Via Haar Wavelets

    I. K. Youssef, A. R. A. Ali

    Issue: Volume 5, Issue 4, August 2016
    Pages: 130-140
    Received: 17 July 2016
    Accepted: 26 July 2016
    Published: 10 August 2016
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    Abstract: The memory and hereditary effects of fractional derivatives as well as integral terms are considered in a diffusion like problem. The Haar wavelet operational matrix technique is employed to solve fractional order diffusion equation with time dependent integral term and time dependent boundary condition. The fractional derivative is described in th... Show More
  • Common Fixed Point Theorem in Fuzzy Metric Spaces Under E. A. Like Property

    Madhu Shrivastava, K. Qureshi, A. D. Singh

    Issue: Volume 5, Issue 4, August 2016
    Pages: 141-144
    Received: 4 July 2016
    Accepted: 25 July 2016
    Published: 21 August 2016
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    Abstract: George and Veeramani [1] modify the concept of fuzzy metric spaces introduced by Kramosil and Michalek [4], Aamri and Moutawakil [8] generalized the notion of non-compatible mapping in metric space by E.A. property.Continuing the above conceptwe prove some commonfixed point theorem for a pair of weakly compatible maps under E.A. Like property.