Applied and Computational Mathematics

Archive

Volume 2, Issue 2, April 2013

  • A Classic New Method to Solve Quartic Equations

    Amir Fathi, Nastaran Sharifan

    Issue: Volume 2, Issue 2, April 2013
    Pages: 24-27
    Published: 2 April 2013
    DOI: 10.11648/j.acm.20130202.11
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    Abstract: Polynomials of high degrees often appear in many problems such as optimization problems. Equations of the fourth degree or so called quartics are one type of these polynomials. In this paper we give a new Classic method for solving a fourth degree polynomial equation (Quartic). We will show how the quartic formula can be presented easily at the pre... Show More
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  • Using Maple to Study the Double Integral Problems

    Chii-Huei Yu

    Issue: Volume 2, Issue 2, April 2013
    Pages: 28-31
    Published: 2 April 2013
    DOI: 10.11648/j.acm.20130202.12
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    Abstract: This paper uses the mathematical software Maple as the auxiliary tool to study the evaluation of two types of double integrals. We can find the closed forms of these two types of double integrals by using Euler's formula and finite geometric series. On the other hand, we propose four examples to do calculation practically. The research methods adop... Show More
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  • Solving Boussinesq Equation by Bilinear Bӓcklund Transformation

    M. Y. Adamu, E. Suleiman

    Issue: Volume 2, Issue 2, April 2013
    Pages: 32-35
    Published: 2 April 2013
    DOI: 10.11648/j.acm.20130202.13
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    Abstract: In this paper Hirota bilinear method is applied to constructing Backlund transformation of the Boussinesq equation. The bilimear Backlund form are used to obtain the soliton solution of the Boussinesq equation. Also as an application for the bilinear Bӓcklund transformation, new classes of wave solutions to the Boussinesq Equation are computed.
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  • Theorem on a Matrix of Right-Angled Triangles

    Martin W. Bredenkamp

    Issue: Volume 2, Issue 2, April 2013
    Pages: 36-41
    Published: 2 April 2013
    DOI: 10.11648/j.acm.20130202.14
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    Abstract: The following theorem is proved: All primitive right-angled triangles (primitive Pythagorean triples) may be defined by a pair of positive integer indices (i,j), where i is an uneven number and j is an even number and have no com-mon factor. The sides of every positive integer right angled triangle are then defined by the indices as follows: For... Show More
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  • Series of Primitive Right-Angled Triangles

    Martin W. Bredenkamp

    Issue: Volume 2, Issue 2, April 2013
    Pages: 42-53
    Published: 2 April 2013
    DOI: 10.11648/j.acm.20130202.15
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    Abstract: From the infinite matrix of right-angled triangles, series of triangles are found that approach a right-angled triangle that has one irrational side such as the 45 triangle. This allows for the creation of a series of fractions that have as their limit an irrational number. Formulae for finding the next triangle in the triangle series, and thus ... Show More
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  • The Effect of Radiation on Natural Convection Flow of Fluid with Variable Viscosity from a Porous Vertical Plate in Presence of Heat Generation

    Amena Ferdousi, M. Mostafizur Rahman, Mohammad Salek Parvez, M. A. Alim

    Issue: Volume 2, Issue 2, April 2013
    Pages: 54-63
    Received: 16 May 2013
    Published: 30 May 2013
    DOI: 10.11648/j.acm.20130202.16
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    Abstract: This paper presents a new extension for the effect of radiation on natural convection flow with variable viscosity from a porous vertical plate in presence of heat generation. The governing boundary layer equations are first transformed into a non dimensional form and the resulting non linear system of partial differential equations are then solved... Show More
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