International Journal of Applied Mathematics and Theoretical Physics

Volume 5, Issue 4, December 2019

  • Analysis of the Properties of a Third Order Convergence Numerical Method Derived via the Transcendental Function of Exponential Form

    Sunday Emmanuel Fadugba, Jethro Olorunfemi Idowu

    Issue: Volume 5, Issue 4, December 2019
    Pages: 97-103
    Received: 14 September 2019
    Accepted: 18 October 2019
    Published: 4 November 2019
    Abstract: This paper proposes a new numerical method for the solution of the Initial Value Problems (IVPs) of first order ordinary differential equations. The new scheme has been derived via the transcendental function of exponential type. The analysis of the properties of the method such as local truncation error, order of accuracy, consistency, stability a... Show More
  • Microscopic Manifestations of the Wave Nature and the Fifth Fundamental Field

    Louis-Marie Moukala

    Issue: Volume 5, Issue 4, December 2019
    Pages: 104-110
    Received: 6 November 2019
    Accepted: 23 November 2019
    Published: 6 December 2019
    Abstract: In Quantum Mechanics, one knows that the wave function interpretation is probabilistic. We previously established that any particle scalar field is the cause of its existence. Here, one examined the plane solution regarding a moving particle in vacuum, through the relativistic formalism. It appeared the following. (i) The solution presents four alt... Show More
  • Numerical Analysis of Heat and Mass Transfer Flow of Nanofluid over a Moving Wedge Using Spectral Quasilinearization Method

    Ayele Tulu, Wubshet Ibrahim

    Issue: Volume 5, Issue 4, December 2019
    Pages: 111-117
    Received: 7 September 2019
    Accepted: 28 October 2019
    Published: 10 December 2019
    Abstract: In this paper the problem of unsteady two-dimensional heat and mass transfer flow of nanofluid past a moving wedge is considered. The effects of nanoparticle volume fraction, viscous dissipation, chemical reaction, and convective boundary conditions are studied. The physical problem is modeled using partial differential equations. Using suitable si... Show More
  • Soliton-Like Spherical Symmetric Solutions of the Nonlinear Spinor Field equations in General Relativity

    Siaka Massou, Alain Adomou, Jonas Edou

    Issue: Volume 5, Issue 4, December 2019
    Pages: 118-128
    Received: 5 November 2019
    Accepted: 28 November 2019
    Published: 24 December 2019
    Abstract: In this research work, we opt for the static spherical symmetric metric. Thus, taking into account the own gravitational field of elementary particles, we have obtained exact static spheric symmetric solutions of the nonlinear spinor and gravitational fields equations. The nonlinear terms in the spinor lagrangian density characterize the self-inter... Show More