International Journal of Theoretical and Applied Mathematics

Volume 5, Issue 6, December 2019

  • Magneto Hydrodynamics Free Convection in a Rectangular Enclosure with Three Square Heated Block

    Md. Raihanul Haque, Md. Abdul Alim, Md. Mahmud Alam, Md. Shahidul Alam

    Issue: Volume 5, Issue 6, December 2019
    Pages: 74-82
    Received: 14 October 2019
    Accepted: 9 November 2019
    Published: 21 November 2019
    Abstract: In the present study the effect of natural convection in a rectangular cavity with three square shape heated block is focused in this numerical is studied. The horizontal bottom wall and three square blocks are temperature Th while the left and right vertical walls and horizontal top wall are temperature Tc with Th>Tc. The governing equations along... Show More
  • Empirical Analysis of Long-run and Short-run Dynamic Effects of Deposit Rate, Inflation Rate and GDP on Bank Deposit: Vector Error Correction Model Approach

    Solomon Kebede Menza

    Issue: Volume 5, Issue 6, December 2019
    Pages: 83-93
    Received: 19 August 2019
    Accepted: 26 September 2019
    Published: 27 November 2019
    Abstract: This paper empirically examines the long-run and short run dynamic effects of deposit rate (r), inflation rate (π) and GDP on bank deposit. The study targeted commercial bank of Ethiopia (CBE) because it has been taking a lion’s share in terms of deposit amount which in turn plays a vital role in deposit refunding for investors. To show the long-ru... Show More
  • Global Stability of Critical Points for Type SIS Epidemiological Model

    Edgar Ali Medina, Manuel Vicente Centeno-Romero, Fernando José Marval López

    Issue: Volume 5, Issue 6, December 2019
    Pages: 94-99
    Received: 20 July 2019
    Accepted: 19 August 2019
    Published: 2 December 2019
    Abstract: The construction of mathematical models is one of the tools used today for the study of problems in Medicine, Biology, Physiology, Biochemistry, Epidemiology, and Pharmacokinetics, among other areas of knowledge; its primary objectives are to describe, explain and predict phenomena and processes in these areas. The simulation, through mathematical ... Show More
  • Optimum Solutions of Fredholm and Volterra Integro-differential Equations

    Muhammad Akbar, Rashid Nawaz, Sumbal Ahsan

    Issue: Volume 5, Issue 6, December 2019
    Pages: 100-112
    Received: 5 April 2019
    Accepted: 29 November 2019
    Published: 6 December 2019
    Abstract: Integro-differential equations arise in modeling various physical and engineering problems. Several numerical and analytical methods have been developed for solving integro-differential equations. In this paper, a powerful semi analytical technique known as Optimal Homotopy Asymptotic Method (OHAM) has been used for finding the approximate solution... Show More
  • Simple and Effective Theory of Movement Steadiness

    Smol’yakov Eduard Rimovich

    Issue: Volume 5, Issue 6, December 2019
    Pages: 113-117
    Received: 10 November 2019
    Accepted: 2 December 2019
    Published: 11 December 2019
    Abstract: It is proposed the very simple and quick method for estimation of the asymptotic stability of any nonlinear dynamic systems, in particular, of the high-dimensional systems for which Tailor series of the right-hand sides of the differential equations converge very slowly. In such problems, the sum of terms of the order of smallness higher than two c... Show More
  • Strongly Ƥ-projective Modules and Ƥ-projective Complexes

    Liang Yan

    Issue: Volume 5, Issue 6, December 2019
    Pages: 118-124
    Received: 30 October 2019
    Accepted: 26 November 2019
    Published: 19 December 2019
    Abstract: In this paper we first study the properties of Strongly Ƥ-projective modules, and obtain some equivalent conclusions about Strongly Ƥ-projective modules, it is proved that a finitely generated right R-module N is strongly Ƥ-projective if and only if Exti (N, R) = 0 for all i ≥ 1 over left noetherian and right perfect ring, a Ƥ-projective right R-mo... Show More