Journal of Mathematics Research
http://www.ccsenet.org/journal/index.php/jmr
<p><strong><em>Journal of Mathematics Research </em></strong>(ISSN: 1916-9795; E-ISSN 1916-9809) is an open-access, international, double-blind peer-reviewed journal published by the Canadian Center of Science and Education. This journal, published <strong>bimonthly</strong> (<span>February, April, June, August, October and December</span>) in <strong>both print and online versions</strong>, keeps readers up-to-date with the latest developments in all aspects of mathematics.</p><div class="Section1"><strong>The scopes of the journal </strong>include, but are not limited to, the following topics: statistics, approximation theory, numerical analysis, operations research, dynamical systems, mathematical physics, theory of computation, information theory, cryptography, graph theory, algebra, analysis, probability theory, geometry and topology, number theory, logic and foundations of mathematics. <em> </em></div><div class="Section1"><p>This journal accepts article submissions<strong> <a href="/journal/index.php/jmr/information/authors">online</a> or by <a href="mailto:jmr@ccsenet.org">e-mail</a> </strong>(jmr@ccsenet.org).</p></div><div class="Section1"><br /><br /><strong><strong><em><img src="/journal/public/site/images/jmr/jmr.jpg" alt="jmr" width="201" height="264" align="right" hspace="20" /></em></strong><strong>ABSTRACTING AND INDEXING:</strong></strong></div><div class="Section1"><strong><br /></strong></div><div class="Section1"><ul><li>BASE (Bielefeld Academic Search Engine)<strong><br /></strong></li><li><strong>EBSCOhost</strong></li><li>Google Scholar</li><li>JournalTOCs</li><li>LOCKSS</li><li><strong>MathEDUC</strong></li><li><strong><a href="http://www.ams.org/dmr/JournalList.html">Mathematical Reviews</a>® (<a href="http://www.ams.org/mathscinet">MathSciNet</a>®)</strong></li><li>MathGuide</li><li>NewJour</li><li>OCLC Worldcat</li><li>Open J-Gate</li><li><strong>ProQuest</strong></li><li>SHERPA/RoMEO</li><li>Standard Periodical Directory</li><li>Ulrich's</li><li>Universe Digital Library</li><li><strong><a href="https://zbmath.org/journals/?q=se:00006772">Zentralblatt MATH</a></strong></li></ul></div><div class="Section1"><strong><br /></strong></div><div class="Section1"> </div>en-USSubmission of an article implies that the work described has not been published previously (except in the form of an abstract or as part of a published lecture or academic thesis), that it is not under consideration for publication elsewhere, that its publication is approved by all authors and tacitly or explicitly by the responsible authorities where the work was carried out, and that, if accepted, will not be published elsewhere in the same form, in English or in any other language, without the written consent of the Publisher. The Editors reserve the right to edit or otherwise alter all contributions, but authors will receive proofs for approval before publication. <br />Copyrights for articles published in CCSE journals are retained by the authors, with first publication rights granted to the journal. The journal/publisher is not responsible for subsequent uses of the work. It is the author's responsibility to bring an infringement action if so desired by the author.<br />jmr@ccsenet.org (Sophia Wang)jmr@ccsenet.org (Technical Support)Thu, 10 Mar 2016 00:00:00 -0800OJS 2.4.6.0http://blogs.law.harvard.edu/tech/rss60A Priori and A Posteriori Error Estimates for a Crank Nicolson Type Scheme of an Elliptic Problem with Dynamical Boundary Conditions
http://www.ccsenet.org/journal/index.php/jmr/article/view/55841
In this article we claim that we are going to give a priori and a posteriori error estimates for a Crank Nicolson type scheme. The problem is discretized by the finite elements in space. The main result of this paper consists in establishing two types of error indicators, the first one linked to the time discretization and the second one to the space discretization.Rola Ali Ahmad, Toufic El Arwadi, Houssam Chrayteh, Jean-Marc Sac-Epee
Copyright (c) 2016 Journal of Mathematics Research
http://www.ccsenet.org/journal/index.php/jmr/article/view/55841Thu, 10 Mar 2016 01:42:00 -0800Solving Third-Order Singularly Perturbed Problems: Exponentially and Polynomially Fitted Trial Functions
http://www.ccsenet.org/journal/index.php/jmr/article/view/58075
For the third-order linearly singularly perturbed problems under four different types boundary conditions, we develop a weak-form integral equation method (WFIEM) to find the singular solution. In the WFIEM the exponentially and polynomially fitted trial functions are designed to satisfy the boundary conditions automatically, while the test functions satisfy the adjoint boundary conditions exactly. The WFIEM provides accurate and stable solutions to the highly singular third-order problems.Chein-Shan Liu
Copyright (c) 2016 Journal of Mathematics Research
http://www.ccsenet.org/journal/index.php/jmr/article/view/58075Thu, 10 Mar 2016 00:00:00 -0800Optimal Geometric Disks Covering using Tessellable Regular Polygons
http://www.ccsenet.org/journal/index.php/jmr/article/view/58076
<p>Geometric Disks Covering (GDC) is one of the most typical and well studied problems in computational geometry. Geometric disks are well known 2-D objects which have surface area with circular boundaries but differ from polygons whose surfaces area are bounded by straight line segments. Unlike polygons covering with disks is a rigorous task because of the circular boundaries that do not tessellate. In this paper, we investigate an area approximate polygon to disks that facilitate tiling as a guide to disks covering with least overlap difference. Our study uses geometry of tessellable regular polygons to show that hexagonal tiling is the most efficient way to tessellate the plane in terms of the total perimeter per area coverage.</p>Elvis K. Donkoh, Alex A. Opoku
Copyright (c) 2016 Journal of Mathematics Research
http://www.ccsenet.org/journal/index.php/jmr/article/view/58076Thu, 10 Mar 2016 00:00:00 -0800Standard Ideals in BCL+ Algebras
http://www.ccsenet.org/journal/index.php/jmr/article/view/58078
We show some useful properties of these ideals that give various methods how to get ideals from them, and so our main aim is to study their properties. Here, we introduce these ideals i.e., the natural ideal, normal ideal, former ideal (and its doublet, latter ideal), proper ideal, normal extension ideal, normal uptake ideal. In particular, we introduce Boolean ideal and normal Boolean ideal to grasp the diversity of ideal for BCL+ algebras. As a means, we can define quotient BCL+ algebras only in terms of ideal, and we discuss its structure.Yonghong Liu
Copyright (c) 2016 Journal of Mathematics Research
http://www.ccsenet.org/journal/index.php/jmr/article/view/58078Thu, 10 Mar 2016 00:00:00 -0800An Extension of the Euler Phi-function to Sets of Integers Relatively Prime to 30
http://www.ccsenet.org/journal/index.php/jmr/article/view/56841
Let $n \geq 1$ be an integer and let $S= \{1,7,11,13,17,19,23,29\},$ the set of integers which are both less than and relatively prime to $30.$ Define $\phi_3(n)$ to be the number of integers $x, \; 0 \leq x \leq n-1,$ for which $\gcd(30n, 30x+i) = 1$ for all $i \in S.$ In this note we show that $\phi_3$ is multiplicative, that is, if $\gcd(m, n)=1,$ then $\phi_3(mn)=\phi_3(m)\phi_3(n).$ We make a conjecture about primes generated by S.Mbakiso Fix Mothebe, Ben T. Modise
Copyright (c) 2016 Journal of Mathematics Research
http://www.ccsenet.org/journal/index.php/jmr/article/view/56841Thu, 10 Mar 2016 01:58:47 -0800Optimal Two Hubs Location and Network Construction for a Regional Company of WAEMU Zone
http://www.ccsenet.org/journal/index.php/jmr/article/view/58197
In this paper, the linear integer programming(LIP) was used to model two hubs location problem and network construction for a regional company of WAEMU zone . Taking account of passengers flow and the movements of planes recorded in the airports in the constraints, the model takes into account the rate of filling of the planes, one of the crucial factors for a company to maximize its profit. Minimizing the sum of the distances in the objective, the company makes savings on the fuel and minimizes its costs on aircrew which is remunerated by flight hours.Ndogotar Nelio, Salimata G. Diagne, Youssou Gningue
Copyright (c) 2016 Journal of Mathematics Research
http://www.ccsenet.org/journal/index.php/jmr/article/view/58197Wed, 16 Mar 2016 00:00:00 -0700Osserman Lightlike Hypersurfaces on a Foliated Class of Lorentzian Manifolds
http://www.ccsenet.org/journal/index.php/jmr/article/view/57115
This paper deals with a family of Osserman lightlike hypersurfaces $(M_u)$ of a class of Lorentzian manifolds $\bar{M}$ such that its each null normal vector is defined on some open subset of $\bar{M}$ around $M_u$. We prove that a totally umbilical family of lightlike hypersurfaces of a connected Lorentzian pointwise Osserman manifold of constant curvature is locally Einstein and pointwise ${\cal F}-$Osserman, where our foliation approach provides the required algebraic symmetries of the induced curvature tensor. Also we prove two new characterization theorems for the family of Osserman lightlike hypersurfaces, supported by a physical example of Osserman lightlike hypersurfaces of the Schwarzschild spacetime.C. Atindogbe, K. L. Duggal
Copyright (c) 2016 Journal of Mathematics Research
http://www.ccsenet.org/journal/index.php/jmr/article/view/57115Wed, 16 Mar 2016 20:19:32 -0700Stability Characterization of Three Porous Layers Model in the Presence of Transverse Magnetic Field
http://www.ccsenet.org/journal/index.php/jmr/article/view/57783
The current study concerns, the effect of a horizontal magnetic field on the stability of three horizontal finite layers of immiscible fluids in porous media. The problem examines few representatives of porous media, in which the porous media are assumed to be uniform, homogeneous and isotropic. The dispersion relations are derived using suitable boundary and surface conditions in the form of two simultaneous Mathieu equations of damping terms having complex coefficients. The stability conditions of the perturbed system of linear evolution equations are investigated both analytically and numerically and stability diagrams are obtained. The stability diagrams are discussed in detail in terms of various parameters governing the flow on the stability behavior of the system such as the streaming velocity, permeability of the porous medium and the magnetic properties. In the special case of uniform velocity, the fluid motion has been displayed in terms of streamlines concept, in which the streamlines contours are plotted. In the uniform velocity motion, a fourth order polynomial equation with complex coefficients is obtained. According to the complexity of the mathematical treatments, when the periodicity of the velocity is taken into account, the method of multiple scales is applied to obtain stability solution for the considered system.<br />It is found that a stability effect is found for increasing, the magnetic permeability ratio, the magnetic field, and the permeability parameter while the opposite influence is observed for increasing the upper layer velocity.Ahmad R. AlHamdan, Sameh A. Alkharashi
Copyright (c) 2016 Journal of Mathematics Research
http://www.ccsenet.org/journal/index.php/jmr/article/view/57783Wed, 23 Mar 2016 23:48:06 -0700Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 8, No. 2
http://www.ccsenet.org/journal/index.php/jmr/article/view/58564
<p><em>Journal of Mathematics Research</em> wishes to acknowledge the following individuals for their assistance with peer review of manuscripts for this issue. Their help and contributions in maintaining the quality of the journal is greatly appreciated.</p><p>Many authors, regardless of whether <em>Journal of Mathematics Research</em> publishes their work, appreciate the helpful feedback provided by the reviewers.</p><p><strong>Reviewers for Volume 8, Number 2</strong></p><p><strong> </strong></p><p>Abdelaziz Mennouni</p><p>Antonio Boccuto</p><p>Arman Aghili</p><p>Eric José Avila</p><p>Fei Han</p><p>Gabriela CIUPERCA</p><p>Jalal Hatem</p><p>Khalil Ezzinbi</p><p>Marek Brabec</p><p>Michael Wohlgenannt</p><p>Peng Zhang</p><p>Pengcheng Xiao</p><p>Roberto S. Costas-Santos</p><p>Rosalio G. Artes</p><p>Sanjib Kumar Datta</p><p>Selcuk Koyuncu</p><p>Sergiy Koshkin</p><p>Vishnu Narayan Mishra</p><p>Youssef El-Khatib</p><p>Zhongming Wang</p><p>Zoubir DAHMANI</p>Sophia Wang
Copyright (c) 2016 Journal of Mathematics Research
http://www.ccsenet.org/journal/index.php/jmr/article/view/58564Wed, 30 Mar 2016 00:00:00 -0700