Applied and Computational Mathematics

Volume 3, Issue 6, December 2014

  • Effect of Gravitational Acceleration on Unsteady Biomagnetic Fluid Flow

    Nor Amirah Idris, Norsarahaida Amin, Hamisan Rahmat

    Issue: Volume 3, Issue 6, December 2014
    Pages: 285-294
    Received: Nov. 04, 2014
    Accepted: Nov. 19, 2014
    Published: Nov. 24, 2014
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    Abstract: This paper investigates the effect of gravitational acceleration on unsteady biomagnetic fluid flow in a channel under the influence of a spatially varying magnetic field. The study on biomagnetic fluid under the action of an applied magnetic field is important in the development of Biomagnetic Fluid Dynamics (BFD). Most existing studies analyze fl... Show More
  • Multisorted Tree Algebra

    Erick Patrick Zobo, Marcel Fouda Ndjodo

    Issue: Volume 3, Issue 6, December 2014
    Pages: 295-302
    Received: Nov. 24, 2014
    Accepted: Dec. 05, 2014
    Published: Dec. 16, 2014
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    Abstract: This paper introduces basic concepts describing a hierarchical algebraic structure called multisorted tree algebra. This structure is constructed by placing multisorted algebra at the bottom of a hierarchy and placing at other intermediate nodes the aggregation of algebras placed at their immediate subordinate nodes. These constructions are differe... Show More
  • (α, β)- Infimum and Supremum of Q- Fuzzy Subgroups over Implication Operator of M* ([0,1])

    R. Nagarajan, K. Balamurugan

    Issue: Volume 3, Issue 6, December 2014
    Pages: 303-306
    Received: Aug. 25, 2014
    Accepted: Dec. 18, 2014
    Published: Dec. 23, 2014
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    Abstract: In this paper, the concept of (α,β)- inf-sup Q-fuzzy set is generalized and there after we defined (α,β)- inf-sup Q-fuzzy group and a few of its properties are discussed. On the other hand we give the definition of the upper normal Q- fuzzy subgroups, and study the main theorem for this. We also give new results on this subject. Characterization of... Show More
  • Evaluation of Holomorphic Ackermanns

    Dmitrii Kouznetsov

    Issue: Volume 3, Issue 6, December 2014
    Pages: 307-314
    Received: Nov. 21, 2014
    Accepted: Dec. 17, 2014
    Published: Dec. 27, 2014
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    Abstract: Holomorphic extension of the Ackermann function is suggested. Algorithms of evaluation of tetration and pentation are discussed and illustrated with explicit plots and complex maps.
  • An Approximate Analytical Solution of Higher-Order Linear Differential Equations with Variable Coefficients Using Improved Rational Chebyshev Collocation Method

    Mohamed A. Ramadan, Kamal R. Raslan, Mahmoud A. Nassar

    Issue: Volume 3, Issue 6, December 2014
    Pages: 315-322
    Received: Dec. 05, 2014
    Accepted: Dec. 18, 2014
    Published: Dec. 27, 2014
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    Abstract: The purpose of this paper is to investigate the use of rational Chebyshev (RC) collocation method for solving high-order linear ordinary differential equations with variable coefficients. Using the rational Chebyshev collocation points, this method transforms the high-order linear ordinary differential equations and the given conditions to matrix e... Show More
  • An Analytical Treatment to Fractional Gas Dynamics Equation

    Mohamed S. Al-luhaibi, Nahed A. Saker

    Issue: Volume 3, Issue 6, December 2014
    Pages: 323-329
    Received: Oct. 24, 2014
    Accepted: Dec. 09, 2014
    Published: Dec. 29, 2014
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    Abstract: In this paper, the new iterative method (NIM) is applied to solve nonlinear fractional gas dynamics equation. Further, a coupling of the Sumudu transform and Adomian decomposion (STADM) is used to get an approximate solution of the same problem. The results obtained by the two methods are found to be in agreement. Therefore, the NIM may be consid... Show More
  • The Line Method Combined with Spectral Chebyshev for Space-Time Fractional Diffusion Equation

    I. K. Youssef, A. M. Shukur

    Issue: Volume 3, Issue 6, December 2014
    Pages: 330-336
    Received: Nov. 13, 2014
    Accepted: Nov. 27, 2014
    Published: Dec. 31, 2014
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    Abstract: The Method of Lines Combined with Chebyshev Spectral Method respect to weighted residual (Collocation Points) for Space-Time fractional diffusion equation is considered, the direct way will be used for approximating Time fractional and the expiation of shifted first kind of Chebyshev polynomial will be used to approximate unknown functions, the str... Show More
  • The Taylor Vortex and the Driven Cavity Problems in the Stream Function-Vorticity Formulation

    Blanca Bermúdez Juárez, René Posadas Hernández, Wuiyevaldo Fermín Guerrero Sánchez

    Issue: Volume 3, Issue 6, December 2014
    Pages: 337-342
    Received: Dec. 15, 2014
    Accepted: Dec. 24, 2014
    Published: Jan. 04, 2015
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    Abstract: In this work, two problems will be presented: The Taylor Vortex problem and the Driven Cavity problem. Both problems are solved using the Stream function-Vorticity formulation of the Navier-Stokes equations in 2D. Results are obtained using two methods: A fixed point iterative method and another one working with matrixes A and B resulting from the ... Show More
  • A Cubic Bézier Model with Shape Parameters

    Juncheng Li

    Issue: Volume 3, Issue 6, December 2014
    Pages: 343-348
    Received: Dec. 16, 2014
    Accepted: Dec. 28, 2014
    Published: Jan. 08, 2015
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    Abstract: A novel extension of the cubic Bézier curve with two shape parameters is presented in this work. The proposed curve is still a cubic polynomial model, which has simpler structure than other similar models. The proposed curve has the same properties with the usual cubic Bézier curve and its shape can be adjusted by altering values of the two shape p... Show More