Mathematical Modelling and Applications

Volume 1, Issue 1, October 2016

  • Minimum Time Problem for Co-operative Parabolic System with Control-State Constraints

    Mohammed Shehata

    Issue: Volume 1, Issue 1, October 2016
    Pages: 1-7
    Received: Sep. 06, 2015
    Accepted: Sep. 17, 2015
    Published: Oct. 12, 2016
    DOI: 10.11648/j.mma.20160101.11
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    Abstract: In this paper, the minimum time problem for differential systems of parabolic type with distributed control and control - state constraints are considered. The minimum time problem is replaced by an equivalent one with fixed time and the necessary optimality conditions of time-optimal control are obtained by using the generalized Dubovitskii-Milyut... Show More
  • On the Hausdorff Distance Between the Heaviside Function and Some Transmuted Activation Functions

    Nikolay Kyurkchiev, Anton Iliev

    Issue: Volume 1, Issue 1, October 2016
    Pages: 8-12
    Received: Aug. 18, 2016
    Accepted: Oct. 12, 2016
    Published: Oct. 14, 2016
    DOI: 10.11648/j.mma.20160101.12
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    Abstract: In this paper we study the one-sided Hausdorff distance between the Heaviside function and some transmuted activation functions. Precise upper and lower bounds for the Hausdorff distance have been obtained. Numerical examples are presented throughout the paper using the computer algebra system MATHEMATICA. The results can be successfully used in th... Show More
  • Analysis of a Generalized Formulation of MHD Isothermal Flow over Exponentially Stretching Sheet Under Variable Magnetic Effect

    Bahaa Saleh, Yousef Abdel-Rahim

    Issue: Volume 1, Issue 1, October 2016
    Pages: 13-19
    Received: Sep. 03, 2016
    Accepted: Oct. 08, 2016
    Published: Oct. 17, 2016
    DOI: 10.11648/j.mma.20160101.13
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    Abstract: The paper has presented and discussed a single generalized algebraic formulation for magneto-hydrodynamic (MHD) flow over an isothermal exponentially stretching sheet under an exponential magnetic field over a range of a magnetic parameter (M), 0≤M≤1.0 and has analyzed relative weights of different terms in the governing equation. Solution me... Show More
  • An Improved Model for Predicting Fluid Temperature in Deep Wells

    Boyun Guo, Jinze Song

    Issue: Volume 1, Issue 1, October 2016
    Pages: 20-25
    Received: Jul. 17, 2016
    Accepted: Oct. 14, 2016
    Published: Oct. 21, 2016
    DOI: 10.11648/j.mma.20160101.14
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    Abstract: The objective of this study was to develop an improved method to predict fluid temperature profiles in high-temperature wells for designing production string in deep-water development. The method was developed on the basis of heat transfer involves heat convection and conduction inside the production string and in the annular space. The governing e... Show More