Applied and Computational Mathematics

Archive

Volume 6, Issue 1, February 2017

  • The N-Point Definite Integral Approximation Formula (N-POINT DIAF)

    Francis Oketch Ochieng’, Nicholas Muthama Mutua, Nicholas Mwilu Mutothya

    Issue: Volume 6, Issue 1, February 2017
    Pages: 1-33
    Received: 20 November 2016
    Accepted: 26 December 2016
    Published: 21 February 2017
    DOI: 10.11648/j.acm.20170601.11
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    Abstract: Various authors have discovered formulae for numerical integration approximation. However these formulae always result to some amount of error which may differ in size depending on the formula. It’s therefore important that a formula with highest precision has been discovered and should be implemented for use in numerical integration approximations... Show More
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  • Double-Diffusion MHD Free Convective Flow along a Sphere in the Presence of a Homogeneous Chemical Reaction and Soret and Dufour Effects

    A. J. Chamkha, A. M. Aly, Z. A. S. Raizah

    Issue: Volume 6, Issue 1, February 2017
    Pages: 34-44
    Received: 5 January 2017
    Accepted: 19 January 2017
    Published: 23 February 2017
    DOI: 10.11648/j.acm.20170601.12
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    Abstract: A numerical solution is presented for the effects of chemical reaction, thermal radiation, Soret number, Dufour number and magnetic field on double-diffusion free convection flow along a sphere. The governing boundary-layer equations of the problem are formulated and transformed into non-similar form. The obtained equations are solved numerically b... Show More
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  • Strict Left (Right)-Conjunctive Left (Right) Semi-Uninorms and Implications Satisfying the Order Property

    Zhudeng Wang, Yuan Wang, Keming Tang

    Issue: Volume 6, Issue 1, February 2017
    Pages: 45-53
    Received: 8 January 2017
    Accepted: 19 January 2017
    Published: 23 February 2017
    DOI: 10.11648/j.acm.20170601.13
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    Abstract: We firstly give out the formulas for calculating the upper and lower approximation strict left (right)-conjunctive left (right) semi-uninorms of a binary operation. Then, we lay bare the formulas for calculating the upper and lower approximation implications, which satisfy the order property, of a binary operation. Finally, we reveal the relationsh... Show More
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  • Nonrelativistic Studies of Diatomic Molecules of Schrödinger Particles with Yukawa Plus Ring-Shaped Potential Model

    Akaninyene D. Antia, Okon P. Akpan

    Issue: Volume 6, Issue 1, February 2017
    Pages: 54-59
    Received: 23 November 2016
    Accepted: 21 January 2017
    Published: 24 February 2017
    DOI: 10.11648/j.acm.20170601.14
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    Abstract: In this paper, we have solved the Schrödinger wave equation with Yukawa plus ring-shaped potential model using powerful Nikiforov-Uvarov method and obtained the energy eigenvalues and corresponding wave functions in terms of Jacobi and Laguerre polynomials for the angular and radial part respectively. We have also presented the effect of angle depe... Show More
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  • Possible Similarity Cases for Internal Heat Generation, Thermal Radiation and Free Convection of Unsteady Boundary Layer Flow Over a Vertical Plate

    N. M. Ridwan Zahed, Md. Yeakub Ali, Md. Jashim Uddin, Mohammed Nasir Uddin

    Issue: Volume 6, Issue 1, February 2017
    Pages: 60-67
    Received: 21 January 2017
    Accepted: 6 February 2017
    Published: 4 March 2017
    DOI: 10.11648/j.acm.20170601.15
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    Abstract: In this paper we analyze the effects of free convection for internal heat generation and thermal radiation of an unsteady boundary layer flow over a vertical plate. We have applied free parameter method to obtain possible similarity cases. One of these cases have been investigated analytically and numerically. In this case, the governing non-linear... Show More
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