Applied and Computational Mathematics

Volume 6, Issue 4, August 2017

  • Derivation of Adams Method for the Numerical Solution of Ordinary Differential Equations Via Computer Algebra

    Mustafa A., M. M. Hamza

    Issue: Volume 6, Issue 4, August 2017
    Pages: 167-170
    Received: 26 September 2016
    Accepted: 3 March 2017
    Published: 4 July 2017
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    Abstract: In this paper, a well-known computer algebra system (CAS) was considered for the derivation of Numerical method for the solution of initial value problems. This was achieved by the use of maple software. Numerical methods were derived through Lagrange interpolation method. Both the implicit and explicit method was derived with the help of the Compu... Show More
  • Gesture Control Robotic Arm Using Flex Sensor

    Waseem Afzal, Shamas Iqbal, Zanib Tahira, Mehtab Ejaz Qureshi

    Issue: Volume 6, Issue 4, August 2017
    Pages: 171-176
    Received: 7 March 2017
    Accepted: 24 May 2017
    Published: 12 July 2017
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    Abstract: The design and implementation of a gesture control robotic arm using flex sensor is proposed. The robotic arm is designed in such a way that it consists of four movable fingers, each with three linkages, an opposing thumb, a rotating wrist and an elbow. The robotic arm is made to imitate the human hand movements using a hand glove. The hand glove c... Show More
  • Close Form Solutions of the Fractional Generalized Reaction Duffing Model and the Density Dependent Fractional Diffusion Reaction Equation

    M. Hafiz Uddin, M. Ali Akbar, Md. Ashrafuzzaman Khan, Md. Abdul Haque

    Issue: Volume 6, Issue 4, August 2017
    Pages: 177-184
    Received: 21 March 2017
    Accepted: 5 April 2017
    Published: 14 July 2017
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    Abstract: The two variable (G'⁄G, 1⁄G)-expansion method is significant for finding the exact traveling wave solution to nonlinear evolution equations (NLEEs) in mathematical physics, applied mathematics and engineering. In this article, we exert the two variable (G'⁄G, 1⁄G)-expansion method for investigating the fractional generalized reaction Duffing model ... Show More
  • Research on the Application of Numerical Method in Control Theory

    Yuanyuan Zhang

    Issue: Volume 6, Issue 4, August 2017
    Pages: 185-188
    Received: 19 July 2017
    Published: 19 July 2017
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    Abstract: Time optimal control problems of ordinary differential equations have been of great interest for decades due to their practical applications. There are mainly two ways to compute optimal times. The first one is the Switching Time Optimization method, where the switching time is taken as extra unknowns and the optimization problems is solved by nonl... Show More
  • New Orbital Free Simulation Method Based on the Density Functional Theory

    Victor Zavodinsky, Olga Gorkusha

    Issue: Volume 6, Issue 4, August 2017
    Pages: 189-195
    Received: 17 July 2017
    Accepted: 25 July 2017
    Published: 4 August 2017
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    Abstract: A practical way to simulate multi-atomic systems without using of wave functions (orbitals) is proposed. Kinetic functionals for each type of atoms are constructed and then are used for complex systems. On examples of clusters containing Al, Si, C, and O it is shown that this method can describe structures and energies of multi-atomic systems not w... Show More
  • A Nontrivial Product in the Stable Homotopy of Spheres

    Wang Chong

    Issue: Volume 6, Issue 4, August 2017
    Pages: 196-201
    Received: 7 August 2017
    Published: 7 August 2017
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    Abstract: Let  be an arbitrary odd prime number greater than eleven andbe the mod  Steenrod algebra. In this paper, it has proved that the product  is nontrivial and converges to  nontrivially of order  in , where , by making use of the Adams spectral sequence.
  • A Robust Preconditioned Iterative Method for the Navier-Stokes Equations with High Reynolds Numbers

    Josaphat Uvah, Jia Liu, Lina Wu

    Issue: Volume 6, Issue 4, August 2017
    Pages: 202-207
    Received: 13 August 2017
    Published: 14 August 2017
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    Abstract: In this paper, we proposed a new solver for the Navier-Stokes equations coming from the channel flow with high Reynolds number. We use the preconditioned Krylov subspace iterative methods such as Generalized Minimum Residual Methods (GMRES). We consider the variation of the Hermitian and Skew-Hermitian splitting to construct the preconditioner. Con... Show More
  • Credibility Evaluation Algorithm Based on Deep Learning

    Liu Mengling, Li Zhendong

    Issue: Volume 6, Issue 4, August 2017
    Pages: 208-214
    Received: 13 August 2017
    Published: 17 August 2017
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    Abstract: The credibility of a recommendation system is a hot focus nowadays in the field of personalized recommendation research. However, it is difficult to carry out effective credibility evaluation for the users in the presence of a false recommendation system, say nothing of eliminating suspicious users and further more improve the security and reliabil... Show More