American Journal of Applied Mathematics

Volume 4, Issue 6, December 2016

  • Effects of Variable Viscosity on Unsteady Natural Convection Hydromagnetic Flow Past an Isothermal Sphere

    Mwangi Wanjiku Lucy, Mathew Ngugi Kinyanjui, Roy Phineas Kiogora

    Issue: Volume 4, Issue 6, December 2016
    Pages: 258-270
    Received: 13 September 2016
    Accepted: 2 October 2016
    Published: 1 November 2016
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    Abstract: In this study, the effects of variable viscosity on unsteady natural convection hydromagnetic flow past an isothermal sphere are determined. The uniformly heated sphere is immersed in a viscous and incompressible fluid where viscosity of the fluid is taken as a linear function of temperature. The Partial Differential Equations governing the flow ar... Show More
  • Solving Porous Medium Equation Using Aboodh Transform Homotopy Perturbation Method

    Khalid Suliman Aboodh

    Issue: Volume 4, Issue 6, December 2016
    Pages: 271-276
    Received: 18 September 2016
    Accepted: 10 October 2016
    Published: 1 November 2016
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    Abstract: In this paper, a new technique has been used forsolving the porous medium equation. This method is named by Aboodh transform which is a combination of the new integral transform “Aboodh transform” and the homotopy perturbation method. The nonlinear termin the porous medium equationscan be easily handled by homotopy perturbation method and some case... Show More
  • A New Entropy-based Intuitionistic Fuzzy Multi-attribute Decision Making Method

    Lanping Li

    Issue: Volume 4, Issue 6, December 2016
    Pages: 277-282
    Received: 6 October 2016
    Accepted: 14 October 2016
    Published: 7 November 2016
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    Abstract: The main task of this paper is to develop a new decision making method based on a novel entropy measure of intuitionistic fuzzy sets. First a novel intuitionistic fuzzy entropy is constructed, then based on this information measure, new weighting methods are proposed for the intuitionistic fuzzy decision making problems with the attribute weights a... Show More
  • Asymptotic Optimal Empirical Bayes Estimation of the Parameter of ЭРланга Distribution

    Guobing Fan

    Issue: Volume 4, Issue 6, December 2016
    Pages: 283-288
    Received: 6 October 2016
    Accepted: 14 October 2016
    Published: 7 November 2016
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    Abstract: This paper aims to study the empirical Bayes estimation of the parameter of ЭРланга distribution under a weighted squared error loss function. Bayes estimator is firstly to derive based on pivot method. Then empirical Bayes estimator of unknown parameter is constructed in a priori unknown circumstances. The asymptotically optimal property of this e... Show More
  • Mathematical Modelling of Epidemiology of Malaria: A Case Study of Luapula Province of Zambia

    Justina Mulenga, Leonard Mubila

    Issue: Volume 4, Issue 6, December 2016
    Pages: 289-295
    Received: 10 March 2016
    Accepted: 18 March 2016
    Published: 25 November 2016
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    Abstract: In this study, we use the SIR model proposed by Kermack and McKendrick to model the epidemiology of malaria in Luapula Province. Data collected from the District Health Management Teams in Luapula Province were used to analyse the rate of infection of malaria in the Province. The Reproduction number R0, was calculated and it was found if R0 >0, ... Show More
  • Dufour and Soret Effects on MHD Forced Convective Heat and Mass Transfer Flow of Non-Newtonian Power Law Fluid with Thermal Radiation and Viscous Dissipation

    Chinmayee Podder, Md. Abdus Samad

    Issue: Volume 4, Issue 6, December 2016
    Pages: 296-309
    Received: 26 September 2016
    Accepted: 1 November 2016
    Published: 29 November 2016
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    Abstract: This paper investigates the Dufour and Soret effects of forced convection heat and mass transfer of an electrically conducting, non-Newtonian power-law fluid past a stretching sheet under the simultaneous action of suction, radiation, uniform transverse magnetic field, heat generation and viscous dissipation. The stretching sheet is assumed to cont... Show More
  • Robust Optimization for Performance-Based Budget Allocation at Payam Noor University

    Mohammad Mehdi Nasrabadi, Elham Sharifi Rasouli, Marziyeh Sharifi

    Issue: Volume 4, Issue 6, December 2016
    Pages: 310-315
    Received: 10 October 2016
    Accepted: 12 November 2016
    Published: 5 December 2016
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    Abstract: Budget allocation is a central problem in universities and research centers. Recently, Payam Noor University (PNU) has used a performance-based approach to allocate budget between proposed projects. Mathematically speaking, this can be modeled as an optimization problem, but in practice the parameters of the problem are subject to uncertainty and a... Show More
  • A Parametric Kernel Function Yielding the Best Known Iteration Bound of Interior-Point Methods for Semidefinite Optimization

    Xiyao Luo, Gang Ma, Xiaodong Hu, Yuqing Fu

    Issue: Volume 4, Issue 6, December 2016
    Pages: 316-323
    Received: 2 November 2016
    Accepted: 6 December 2016
    Published: 26 December 2016
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    Abstract: In this paper, a class of large-update primal-dual interior-point methods for semidefinite optimization based on a parametric kernel function are presented. The proposed kernel function is not only used for determining the search directions but also for measuring the distance between the given iterate and the center for the algorithms. By means of ... Show More
  • Mathematical Modelling on Blood Flow Under Atherosclerotic Condition

    Arun Kumar Maiti

    Issue: Volume 4, Issue 6, December 2016
    Pages: 324-329
    Received: 5 December 2016
    Accepted: 15 December 2016
    Published: 9 January 2017
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    Abstract: The present study discusses the effect of stenosis on flow rate, resistance to flow and wall shear stress for different parameters. A two –layered mathematical model has been incorporated here by considering the peripheral layer as Newtonian fluid and the core layer as Bingham-plastic type non-Newtonian fluid. The numerical results are presented in... Show More
  • Modelling of an Extended Brutedl Algorithm for Rule Extraction

    Bolanle F. Oladejo, Rukayat Ayomide Erinfolami

    Issue: Volume 4, Issue 6, December 2016
    Pages: 330-339
    Received: 8 October 2016
    Accepted: 22 November 2016
    Published: 16 January 2017
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    Abstract: Complex predictive models obtain very high predictive performance; however, it is difficult to explain their complex mathematical design. Rule extraction techniques help to understand their designs by generating structures like decision list. BruteDL algorithm generates decision list from a dataset, and also addresses the overlapping rule problem o... Show More