Applied and Computational Mathematics

Volume 6, Issue 6, December 2017

  • Solving a Nonlinear Equation Using a New Two-Step Derivative Free Iterative Methods

    Alyauma Hajjah

    Issue: Volume 6, Issue 6, December 2017
    Pages: 238-242
    Received: 08 August 2017
    Accepted: 26 September 2017
    Published: 07 November 2017
    Downloads:
    Views:
    Abstract: In this paper, suggest anew two step iterative method for solving a nonlinear equation, which is derivative free by approximating a derivative in the iterative method by central difference with one parameter θ. The anew derivative free iterative method has a convergence of order four and computational cost the family requires three evaluations of f... Show More
  • A Comparative Study on Fourth Order and Butcher’s Fifth Order Runge-Kutta Methods with Third Order Initial Value Problem (IVP)

    Md. Babul Hossain, Md. Jahangir Hossain, Md. Musa Miah, Md. Shah Alam

    Issue: Volume 6, Issue 6, December 2017
    Pages: 243-253
    Received: 26 September 2017
    Accepted: 08 October 2017
    Published: 08 November 2017
    Downloads:
    Views:
    Abstract: In this paper, Butcher’s fifth order Runge-Kutta (RK5) and fourth order Runge-Kutta (RK4) methods have been employed to solve the Initial Value Problems (IVP) involving third order Ordinary Differential Equations (ODE). These two proposed methods are quite proficient and practically well suited for solving engineering problems based on such problem... Show More
  • Some Identities Related with the Higher-order Deformed Degenerate Bernoulli and Euler Polynomials

    Lee Chae Jang

    Issue: Volume 6, Issue 6, December 2017
    Pages: 254-258
    Received: 25 July 2017
    Accepted: 10 November 2017
    Published: 15 December 2017
    Downloads:
    Views:
    Abstract: Recently, Kim-Kim (2016-2017) studied simmetric identities of higher-order degenerate Bernoulli and Euler polynomials which were defined by Carlitz (1979). In this paper, we define the higher-order deformed degenerate Bernoulli and Euler polynomials which are modified the higher-order degenerate Bernoulli and Euler polynomials. We also investigate ... Show More
  • Schultz and Modified Schultz Polynomials of Cog-Complete Bipartite Graphs

    Ahmed Mohammed Ali, Haitham Nashwan Mohammed

    Issue: Volume 6, Issue 6, December 2017
    Pages: 259-264
    Received: 09 September 2017
    Accepted: 09 November 2017
    Published: 18 December 2017
    Downloads:
    Views:
    Abstract: Let G be a simple connected graph, the vertex- set and edge- set of G are denoted by V(G) and E(G), respectively. The molecular graph G, the vertices represent atoms and the edges represent bonds. In graph theory, we have many invariant polynomials and many invariant indices of a connected graph G. Topological indices based on the distance between ... Show More
  • MHD Boundary Layer Flow of Nanofluid over a Continuously Moving Stretching Surface

    Haroon Rasheed, Abdul Rehman, Naveed Sheikh, Saleem Iqbal

    Issue: Volume 6, Issue 6, December 2017
    Pages: 265-270
    Received: 25 October 2017
    Accepted: 13 November 2017
    Published: 25 December 2017
    Downloads:
    Views:
    Abstract: The present investigation provides an insight in the steady, incompressible and electrically conducting boundary layer flow of viscoelastic nanofluid flowing due to a moving, linearly stretched surface. The governing system of nonlinear partial differential equations is simplified by considering Boussinesq and boundary layer approximations. An anal... Show More