International Journal of Theoretical and Applied Mathematics

Volume 3, Issue 1, February 2017

  • Singularity Induced Interior Stokes Flows

    N. Akhtar, G. A. H. Chowdhury

    Issue: Volume 3, Issue 1, February 2017
    Pages: 1-10
    Received: Sep. 18, 2016
    Accepted: Nov. 10, 2016
    Published: Dec. 09, 2016
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    Abstract: Three complex variable circle theorems for studying the two-dimensional Stokes flows interior to a circular cylinder are presented. These theorems are formulated in terms of the complex velocities of the fundamental singularities in an unbounded incompressible viscous fluid. Illustrative examples are given to demonstrate their usefulness.
  • A Method of the Best Approximation by Fractal Function

    Yong-Suk Kang, Myong-Gil Rim

    Issue: Volume 3, Issue 1, February 2017
    Pages: 11-18
    Received: Sep. 07, 2016
    Accepted: Nov. 05, 2016
    Published: Dec. 09, 2016
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    Abstract: We present a method constructing a function which is the best approximation for given data and satisfiesthe given self-similar condition. For this, we construct a space F of local self-similar fractal functions and show its properties. Next we present a computational scheme constructing the best fractal approximation in this space and estimate an e... Show More
  • Analysis on the Properties of a Permutation Group

    Xiao-Yan Gu, Jian-Qiang Sun

    Issue: Volume 3, Issue 1, February 2017
    Pages: 19-24
    Received: Oct. 17, 2016
    Accepted: Nov. 21, 2016
    Published: Dec. 27, 2016
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    Abstract: The structures of the subgroups play an important role in the study of the nature of symmetric groups. We calculate the 11300 subgroups of the permutation group S7 by group-theoretical approach. The analytic expressions for the numbers of subgroups are obtained. The subgroups of the permutation group S7 are all represented in an alternative way for... Show More
  • Mathematical Modeling of Investors’ Savings Plan (ISP) with Stochastic Interest Rate via Numéraire Change

    Philip Ajibola Bankole, Adeniyi Adewopo

    Issue: Volume 3, Issue 1, February 2017
    Pages: 25-29
    Received: Oct. 31, 2016
    Accepted: Dec. 10, 2016
    Published: Jan. 07, 2017
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    Abstract: This paper focuses on Numéraire change technique for pricing financial assets with stochastic interest rate. It makes sense to introduce the notion of stochastic interest rate when dealing with long term option pricing problems rather than constant interest rate addressed in the past by most papers. We consider the application of Numéraire Change t... Show More
  • Application of a Two-Step Third-Derivative Block Method for Starting Numerov Method

    Oluwaseun Adeyeye, Zurni Omar

    Issue: Volume 3, Issue 1, February 2017
    Pages: 30-35
    Received: Sep. 26, 2016
    Accepted: Dec. 10, 2016
    Published: Jan. 12, 2017
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    Abstract: Numerov method is one of the most widely used algorithms in physics and engineering for solving second order ordinary differential equations. The numerical solution of this method has been improved by different authors by using different starting formulas but in recent years, there has been a dearth in that trend which informed the introduction of ... Show More
  • Three Important Phenomena of Chaos Synchronization Between Two Different Hyperchaotic Systems via Adaptive Control Method

    Maysoon M. Aziz, Saad Fawzi Al-Azzawi

    Issue: Volume 3, Issue 1, February 2017
    Pages: 36-42
    Received: Oct. 13, 2016
    Accepted: Nov. 03, 2016
    Published: Jan. 12, 2017
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    Abstract: This paper presents three important phenomena of chaos synchronization between two different hyperchaotic systems using nonlinear adaptive control strategy. In detailed, complete synchronization, anti- synchronization and hybrid synchronization with nine unknown parameters. Modified hyperchaotic Pan system is consider as drive and hyperchaotic Liu ... Show More
  • A Limiting Transition in a Singularly Perturbed Equation with the Loss of Stability

    Dilmurat Abdillajanovich Tursunov

    Issue: Volume 3, Issue 1, February 2017
    Pages: 43-48
    Received: Nov. 24, 2016
    Accepted: Jan. 03, 2017
    Published: Jan. 16, 2017
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    Abstract: A limiting transition is performed in some systems of singularly perturbed differential equations in the case of change of stability. This phenomenon is found in laser physics, chemical kinetics, plastic deformation, biophysics, in the modified Zieglers system, and in the simulation of upland forest fires, safe combustion with maximum temperature, ... Show More
  • Eigenvalue Intervals for Fractional Boundary Value Problems with Nonlinear Boundary Conditions

    Meng Zhang, Qiuping Li

    Issue: Volume 3, Issue 1, February 2017
    Pages: 49-53
    Received: Oct. 29, 2016
    Accepted: Jan. 06, 2017
    Published: Jan. 18, 2017
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    Abstract: In presented paper, we study eigenvalue intervals for fractional boundary value problems with nonlinear boundary conditions. In this case, for the existence of at least one positive solution of the boundary value problem the new sufficient conditions are established. By means of example, the main results is illustrated. Finally, given comparsion ob... Show More