Applied and Computational Mathematics

Volume 3, Issue 5, October 2014

  • Hydromagnetic Stagnation Point Flow over a Porous Stretching Surface in the Presence of Radiation and Viscous Dissipation

    Emmanuel Maurice Arthur, Ibrahim Yakubu Seini

    Issue: Volume 3, Issue 5, October 2014
    Pages: 191-196
    Received: Aug. 17, 2014
    Accepted: Sep. 02, 2014
    Published: Sep. 20, 2014
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    Abstract: This paper investigates the hydromagnetic stagnation point flow of an incompressible viscous electrically conducting fluid towards a stretching sheet in the presence of radiation and viscous dissipation. The Newton-Raphson shooting method along with the fourth-order Runge-Kutta integration algorithm has been employed to tackle the third order, nonl... Show More
  • Realization of Inhomogeneous Boundary Conditions as Virtual Sources in Parabolic and Hyperbolic Dynamics

    Boe-Shong Hong

    Issue: Volume 3, Issue 5, October 2014
    Pages: 197-204
    Received: Aug. 13, 2014
    Accepted: Sep. 11, 2014
    Published: Sep. 20, 2014
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    Abstract: Scientists and engineers encounter many kinds of parabolic or hyperbolic distributed dynamics, which are often with inhomogeneous boundary conditions in practice. Boundary inhomogeneity makes the dynamics essentially nonlinear, which prevents the Hilbert space from being applied for modal decomposition and intelligent computation. Thus, this paper ... Show More
  • Analysis of the Effects of Diversification for Dar Es Salaam Stock Exchange Optimal Portfolio

    Phares Kaboneka, Wilson Mahera Charles, Silas Mirau

    Issue: Volume 3, Issue 5, October 2014
    Pages: 205-216
    Received: Aug. 19, 2014
    Accepted: Aug. 30, 2014
    Published: Sep. 20, 2014
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    Abstract: Dar es Salaam stock exchange (DSE) market is among the stock markets dealing with financial securities transactions and it operates under the brokerage system. Different individuals have little knowledge on how these stock markets operate and many of them fear to invest in stock business because they don’t have the base line of their decision espec... Show More
  • Small Gain Theorem for Distributed Feedback Control of Sturm-Liouville Dynamics

    Boe-Shong Hong

    Issue: Volume 3, Issue 5, October 2014
    Pages: 217-224
    Received: Aug. 20, 2014
    Accepted: Sep. 10, 2014
    Published: Sep. 20, 2014
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    Abstract: This paper constructs the small-gain theorem upon a general class of Sturm-Liouville systems. It appears that the feedback connection of two Sturm-Liouville sub-systems is guaranteed of well-posedness, Hurwitz, dissipativity and passivity in L2-spaces provided the loop gain is less than 1. To construct the theorem, spatiotemporal transfer-function ... Show More
  • Mathematical Model and Regression Analysis of Acoustic Emission Signals Generated by Partial Discharges

    Daria Wotzka

    Issue: Volume 3, Issue 5, October 2014
    Pages: 225-230
    Received: Sep. 10, 2014
    Accepted: Sep. 19, 2014
    Published: Sep. 30, 2014
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    Abstract: An improved mathematical model describing acoustic emission (AE) signals generated by different types of partial discharges (PD) that occur in electric power transformer insulation system is presented in the paper. AE signals are analyzed within the AE method as applied for power transformer failure detection due to occurrence of PD. There are seve... Show More
  • A Third Runge Kutta Method Based on a Linear Combination of Arithmetic Mean, Harmonic Mean and Geometric Mean

    Rini Yanti, M Imran, Syamsudhuha

    Issue: Volume 3, Issue 5, October 2014
    Pages: 231-234
    Received: Jul. 11, 2014
    Accepted: Sep. 12, 2014
    Published: Sep. 30, 2014
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    Abstract: We present a new third order Runge Kutta method based on linear combination of arithmetic mean, geometric mean and harmonic mean to solve a first order initial value problem. We also derive the local truncation error and show the stability region for the method. Moreover, we compare the new method with Runge Kutta method based on arithmetic mean, g... Show More
  • The Time-Dependent Similarity Solutions of Boundary Layer Equations of Power-Law Fluids with Non-Isothermal Surface

    Muhammet Yurusoy

    Issue: Volume 3, Issue 5, October 2014
    Pages: 235-239
    Received: Sep. 16, 2014
    Accepted: Sep. 23, 2014
    Published: Sep. 30, 2014
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    Abstract: Unsteady, two dimensional boundary layer flows over a heated surface of power-law fluids are investigated. Surface temperature is assumed to have o power-law variation with the time and the distance. Similarity transformation is applied to the partial differential equation system with three independent variables is reduced into an ordinary differen... Show More
  • Darboux Transformation of Lax Pair for an Integrable Coupling of the Integrable Differential-Difference Equation

    Xi-Xiang Xu

    Issue: Volume 3, Issue 5, October 2014
    Pages: 240-246
    Received: Sep. 14, 2014
    Accepted: Sep. 29, 2014
    Published: Oct. 10, 2014
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    Abstract: An integrable coupling of the known integrable differential-difference equation and its Lax pair are presented. Based on the gauge transformation between the corresponding four-by- four matrix spectral problems, a Darboux transformation of Lax pair for the integrable coupling is established. As an application of the obtained Darboux transformation,... Show More
  • Transient MHD Boundary-Layer Slip-Flow of Heat and Mass Transfer Over a Stretching Surface Embedded in Porous Medium with Waste Discharge Concentration and Convective Boundary Conditions

    Adetunji Adeniyan, Joshua Aanuoluwapo Adigun

    Issue: Volume 3, Issue 5, October 2014
    Pages: 247-255
    Received: Sep. 11, 2014
    Accepted: Sep. 22, 2014
    Published: Oct. 20, 2014
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    Abstract: The transient two-dimensional MHD boundary-layer stagnation point flow with heat and mass transfer in a saturated porous medium is presented here by taking into account the transient dispersion of a pollutant spewed by an external source in the presence of a uniform transverse magnetic field and stress (pressure) work. The laminar flow of viscous i... Show More
  • Electricity Market and Its Risk Management in Nigeria

    Achudume Celestine, Chukwuma Raphael Nwozo

    Issue: Volume 3, Issue 5, October 2014
    Pages: 256-261
    Received: Sep. 19, 2014
    Accepted: Sep. 29, 2014
    Published: Oct. 30, 2014
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    Abstract: This paper is on the development of adequate mathematical model of electricity price via Fourier series. Fourier series is the representation of a function f(x) as an infinite series in sine and cosine terms. Our choice of Fourier series model for electricity price is as result of its volatility, fluctuation trends of hydro flow and poor market de... Show More
  • Exact, Polynomial, Determination Solution Method of the Subset Sum Problem

    Mahammad Maharram Aliyev

    Issue: Volume 3, Issue 5, October 2014
    Pages: 262-267
    Received: Oct. 13, 2014
    Accepted: Oct. 28, 2014
    Published: Nov. 10, 2014
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    Abstract: In this paper we give original geometrical interpretation to the domain of definition of integer and combinatorial problems. The solution of the problems concerning NP class has been carried out on the hyperarches. The existence criterion of the solution on the hyperarches has been defined. The method for establishing the sequence of approximation ... Show More
  • The Equivalence of the Maximum Likelihood and a Modified Least Squares for a Case of Generalized Linear Model

    Ahsene Lanani

    Issue: Volume 3, Issue 5, October 2014
    Pages: 268-272
    Received: Oct. 11, 2014
    Accepted: Nov. 03, 2014
    Published: Nov. 10, 2014
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    Abstract: During the analysis of statistical data, one of the most important steps is the estimation of the considered parameters model. The most common estimation methods are the maximum likelihood and the least squares. When the data are considered normal, there is equivalence between the two methods, so there is no privilege for one or the other method. H... Show More
  • Finite Iterative Algorithm for Solving a Class of Complex Matrix Equation with Two Unknowns of General Form

    Mohamed A. Ramadan, Mokhtar A. Abdel Naby, Talaat S. El-Danaf, Ahmed M. E. Bayoumi

    Issue: Volume 3, Issue 5, October 2014
    Pages: 273-284
    Received: Oct. 24, 2014
    Accepted: Nov. 06, 2014
    Published: Nov. 20, 2014
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    Abstract: This paper is concerned with an efficient iterative algorithm to solve general the Sylvester-conjugate matrix equation of the form ∑_(i= 1)^s▒〖A_i V B_i 〗+ ∑_(j=1)^t▒〖C_j W D_j 〗=∑_(l=1)^m▒〖E_1 V ̅ 〗 F_1+C The proposed algorithm is an extension to our proposed general Sylvester-conjugate equation of the form ∑_(i= 1)^s▒〖A_i V 〗+ ∑_(j=1)^t▒〖... Show More