American Journal of Applied Mathematics

Volume 3, Issue 6, December 2015

  • New Improved Approximation by Linear Combination in Lp Spaces

    Srivastava Anshul

    Issue: Volume 3, Issue 6, December 2015
    Pages: 243-249
    Received: Aug. 23, 2015
    Accepted: Sep. 07, 2015
    Published: Oct. 16, 2015
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    Abstract: In this paper we extend our studies for Modified Lupas operators introduced by Sahai and Prasad. We introduce and develop some direct results for Stancu type generalization of above operators using linear approximation method. Fubini’s theorem is used extensively to prove our main theorem. The anticipated improvement is made through technique of li... Show More
  • RBFs for Integral Equations with a Weakly Singular Kernel

    Jafar Biazar, Mohammad Ali Asadi

    Issue: Volume 3, Issue 6, December 2015
    Pages: 250-255
    Received: Sep. 29, 2015
    Accepted: Oct. 09, 2015
    Published: Oct. 21, 2015
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    Abstract: In this paper a numerical method, based on collocation method and radial basis functions (RBF) is proposed for solving integral equations with a weakly singular kernel. Integrals appeared in the procedure of the solution are approximated by adaptive Lobatto quadrature rule. Illustrative examples are included to demonstrate the validity and applicab... Show More
  • Duplication of a Cube

    Lorna A. Willis

    Issue: Volume 3, Issue 6, December 2015
    Pages: 256-258
    Received: Nov. 30, 2014
    Accepted: Apr. 03, 2015
    Published: Oct. 27, 2015
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    Abstract: A cube is a hexahedron of six identical squares. Duplication of a cube; or the Delian Problem, means starting with a cube of edge e, having a volume if v3 then proceeding to replace it by another cube of edge k, having volume, 2e3. To construct the replacement cube requires the construction of k = e 3√2. Not until the 19thCentury was it proved that... Show More
  • A New Fuzzy-Valued Additive Measure

    Cai-Li Zhou

    Issue: Volume 3, Issue 6, December 2015
    Pages: 259-264
    Received: Sep. 16, 2015
    Accepted: Oct. 09, 2015
    Published: Oct. 27, 2015
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    Abstract: In this paper, we firstly invoke gradual Hausdorff metric to define a new additive fuzzy-valued measure on the ordinary measurable space. Then, from the view of a fuzzy number as a crisp interval of gradual numbers, we show that the new fuzzy-valued measure can be characterized by two gradual number-valued measures. Finally, we investigate some of ... Show More
  • Krylov-Bogoliubov-Mitropolskii Method for Fourth Order More Critically Damped Nonlinear Systems

    Md. Mahafujur Rahaman

    Issue: Volume 3, Issue 6, December 2015
    Pages: 265-270
    Received: Sep. 15, 2015
    Accepted: Nov. 02, 2015
    Published: Nov. 17, 2015
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    Abstract: With a view to obtaining the transient response of the system where triply eigenvalues are equal and another is distinct, we have considered a fourth order more critically damped nonlinear systems, and enquired into analytical approximate solution in this paper. We have also suggested that the results obtained by the proposed method correspond to t... Show More
  • Modelling HIV/AIDS Transmission Dynamics Considering Counselling, Vaccination and Antiretroviral Therapy (ART) in a Population of Varying Size

    Udoo Iorlumun Joseph Martins, Kimbir Richard Anande, Remilekun Mathew Odekunle

    Issue: Volume 3, Issue 6, December 2015
    Pages: 271-282
    Received: Oct. 06, 2015
    Accepted: Oct. 23, 2015
    Published: Nov. 24, 2015
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    Abstract: A mathematical model of the transmission dynamics of HIV/AIDS, incorporating counselling, vaccination and antiretroviral therapy (ART) in a varying population, is presented. The existence and stability of the disease-free equilibrium states of the variants of the model are investigated, from which threshold values for vaccination and ART administra... Show More
  • Existence and Uniqueness of Weak Solution for Weighted p-bilaplacian (p-Biharmonic)

    Bassam Al-Hamzah, Naji Yebari

    Issue: Volume 3, Issue 6, December 2015
    Pages: 283-287
    Received: Sep. 27, 2015
    Accepted: Nov. 16, 2015
    Published: Dec. 09, 2015
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    Abstract: This paper deals with the equation  in bounded domain Ω. Relying on Browder theorem, under conditions of the monotonous function f. We obtained the existence and uniqueness of weak solutions for the weighted p-bilaplacian boundary value of the form:
  • Analysis of MHD Mixed Convection Flow Within a Square Enclosure Containing a Triangular Obstacle

    Kakali Chowdhury, Md. Abdul Alim

    Issue: Volume 3, Issue 6, December 2015
    Pages: 288-296
    Received: Oct. 15, 2015
    Accepted: Oct. 29, 2015
    Published: Dec. 08, 2015
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    Abstract: Finite element method is used to solve two-dimensional governing mass, momentum and energy equations for steady state, mixed convection problem inside a lid driven square enclosure containing a triangular hot obstacle located at the centre of the enclosure. The enclosure top wall is adiabatic while the bottom wall and triangular obstacle are mainta... Show More
  • Numerical Solution of a Two Dimensional Poisson Equation with Dirichlet Boundary Conditions

    Benyam Mebrate, Purnachandra Rao Koya

    Issue: Volume 3, Issue 6, December 2015
    Pages: 297-304
    Received: Nov. 11, 2015
    Accepted: Nov. 22, 2015
    Published: Dec. 14, 2015
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    Abstract: In this paper we have introduced Numerical techniques to solve a two dimensional Poisson equation together with Dirichlet boundary conditions. Specifically two methods are used for the purpose of numerical solution, viz. Finite difference method and Finite element method. The implementation of the solutions is done using Microsoft Office Excel work... Show More
  • Numerical Solution of a One Dimensional Heat Equation with Dirichlet Boundary Conditions

    Benyam Mebrate

    Issue: Volume 3, Issue 6, December 2015
    Pages: 305-311
    Received: Nov. 26, 2015
    Accepted: Dec. 04, 2015
    Published: Dec. 25, 2015
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    Abstract: In this paper I present Numerical solutions of a one dimensional heat Equation together with initial condition and Dirichlet boundary conditions. Two methods are used to compute the numerical solutions, viz. Finite difference methods and Finite element methods. The finite element methods are implemented by Crank - Nicolson method. The numerical sol... Show More
  • Enhancements of the Easter Algorithms (1940)

    Charles Edward Ng’hwaya Masule

    Issue: Volume 3, Issue 6, December 2015
    Pages: 312-320
    Received: Aug. 17, 2015
    Accepted: Sep. 08, 2015
    Published: Dec. 25, 2015
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    Abstract: Easter is a Christian yearly festival which falls on a Sunday of a full moon on the 22nd March at the least. One question that had remained unanswered for years however is: why Easter does not fall on due Sundays of a full moon at times? In this publication, a reasonable way had been developed on how to interface the much known Oudin’s Easter algor... Show More
  • Heisenberg Form of Uncertainty Relations

    Mohammed Yousif, Mohammed Ali Basheir, Emadaldeen Abdalrahim

    Issue: Volume 3, Issue 6, December 2015
    Pages: 321-326
    Received: Dec. 13, 2015
    Accepted: Dec. 21, 2015
    Published: Dec. 25, 2015
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    Abstract: This paper, deals with the uncertainty relation for photons. In [Phys.Rev.Let.108, 140401 (2012)], and [1] the uncertainty relation was obtained as a sharp inequality by using the energy distribution on space. The relation we obtain here is an alternative to the one given in [Phys.Rev.Let.108, 140401 (2012)] by the use of the position of the center... Show More
  • Analysis of Prey – Predator System with Prey Population Experiencing Critical Depensation Growth Function

    Mohammed Yiha Dawed, Purnachandra Rao Koya, Temesgen Tibebu

    Issue: Volume 3, Issue 6, December 2015
    Pages: 327-334
    Received: Nov. 30, 2015
    Accepted: Dec. 10, 2015
    Published: Dec. 30, 2015
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    Abstract: In this paper we have presented a pair of coupled differential equations to represent a prey – predator system. It is assumed that the growth of the prey population follows critical depensation function and that of the predator population is negative in absence of the prey population. The critical depensation function is special since the growth ra... Show More
  • Modeling and Numerical Simulation of River Pollution Using Diffusion-Reaction Equation

    Tsegaye Simon, Purnachandra Rao Koya

    Issue: Volume 3, Issue 6, December 2015
    Pages: 335-340
    Received: Nov. 23, 2015
    Accepted: Dec. 06, 2015
    Published: Jan. 08, 2016
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    Abstract: In the present study we have applied diffusion – reaction equation to describe the dynamics of river pollution and drawn numerical solution through simulation study. The diffusion-reaction equation is turn to be a partial differential equation since the independent variables are more than one that include spatial and temporal coordinates. The diffu... Show More
  • A Detailed Comparison Between Two Methods of Ranking Interval Efficiencies for Fuzzy DEA Models

    Somayeh Tabatabaee, Habib Hosseini

    Issue: Volume 3, Issue 6, December 2015
    Pages: 341-344
    Received: Nov. 22, 2015
    Accepted: Dec. 31, 2015
    Published: Feb. 23, 2016
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    Abstract: Data envelopment analysis is a non-parametric technique for measuring and evaluating the relative efficiencies of a set of entities with common inputs and outputs. In fact, in a real evaluation problem input and output data of entities evaluated often fluctuate. This fluctuating data can be represented as linguistic variables characterized by fuzzy... Show More