Applied and Computational Mathematics

Archive

Volume 2, Issue 3, June 2013

  • Non-uniform HOC Scheme for the 3D Convection–Diffusion Equation

    Rabab Ahmed Shanab, Laila Fouad Seddek, Salwa Amin Mohamed

    Issue: Volume 2, Issue 3, June 2013
    Pages: 64-77
    Received: 13 May 2013
    Published: 30 June 2013
    DOI: 10.11648/j.acm.20130203.11
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    Abstract: In this paper, we extend the work of Kalita et al. [11] to solve the steady 3D convection-diffusion equation with variable coefficients on non-uniform grid. The approach is based on the use of Taylor series expansion, up to the fourth order terms, to approximate the derivatives appearing in the 3D convection diffusion equation. Then the original co... Show More
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  • Exact and Explicit Approximate Solutions to the Multi-Order Fractional Burgers-Poisson and Fractional Burgers-Poisson Equations

    Joshua Ikechukwu Nwamba

    Issue: Volume 2, Issue 3, June 2013
    Pages: 78-85
    Received: 18 May 2013
    Published: 30 June 2013
    DOI: 10.11648/j.acm.20130203.12
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    Abstract: The multi-order fractional Burgers-Poisson (MFBP) equation was introduced, exact as well as approximate solutions to the introduced MFBP, fractional Burgers-Poisson (fBP) and Burgers-Poisson (BP) equations were obtained through the use of the homotopy perturbation method (HPM) and the Adomian decomposition method (ADM) in this paper. The effective... Show More
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  • A Note on Self Complementary Brittle and Self Complementary Quasi Chordal Graphs

    Parvez Ali, Merajuddin, Syed Ajaz Kareem Kirmani

    Issue: Volume 2, Issue 3, June 2013
    Pages: 86-91
    Received: 2 June 2013
    Published: 20 July 2013
    DOI: 10.11648/j.acm.20130203.13
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    Abstract: In this paper we deal with some classes of self-complementary (sc) perfectly orderable graphs namely sc brittle, sc quasi chordal graphs and propose algorithms for these classes. We obtain some results on these classes and an algorithm is proposed based on these results that recognize these classes. We also compile a catalogue for these classes up ... Show More
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  • Assessment of Earth Surface Pollution due to Residual Rocket Fuel

    Zhumagulov Bakhytzhan, Abdibekov Ualikhan, Karzhaubayev Kairzhan, Khikmetov Askar, Zhubat Kuanysch

    Issue: Volume 2, Issue 3, June 2013
    Pages: 92-95
    Received: 18 June 2013
    Published: 20 July 2013
    DOI: 10.11648/j.acm.20130203.14
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    Abstract: This paper presents aerohydrodynamic modeling of air and surface pollution caused by toxic rocket fuel components. A numerical algorithm for solving this problem was developed and implemented in a software code in FORTRAN. Modeling of the dissimilation of rocket fuel dynamics for the case of the second-stage rocket "Proton-M" emergency fall was car... Show More
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  • Final-Boundary Value Problem in the Non-Classical Treatment for a Sixth Order Pseudoparabolic Equation

    Ilgar Gurbat oglu Mamedov

    Issue: Volume 2, Issue 3, June 2013
    Pages: 96-99
    Received: 24 June 2013
    Published: 20 July 2013
    DOI: 10.11648/j.acm.20130203.15
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    Abstract: In this paper substantiated for a differential equation of pseudoparabolic type with discontinuous coefficients a final-boundary problem with non-classical boundary conditions is considered, which requires no matching conditions. The considered equation as a pseudoparabolic equation generalizes not only classic equations of mathematical physics (he... Show More
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