Archive:: Applied and Computational Mathematics:: Science Publishing Group

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: 8 August 2017

Accepted: 26 September 2017

Published: 7 November 2017

DOI: 10.11648/j.acm.20170606.11

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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

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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: 8 October 2017

Published: 8 November 2017

DOI: 10.11648/j.acm.20170606.12

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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

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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

DOI: 10.11648/j.acm.20170606.13

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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

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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: 9 September 2017

Accepted: 9 November 2017

Published: 18 December 2017

DOI: 10.11648/j.acm.20170606.14

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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

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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

DOI: 10.11648/j.acm.20170606.15

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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

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