http://www.ccsenet.org/journal/index.php/jmr/issue/feedJournal of Mathematics Research2016-03-29T19:45:30-07:00Sophia Wangjmr@ccsenet.orgOpen Journal Systems<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>http://www.ccsenet.org/journal/index.php/jmr/article/view/55841A Priori and A Posteriori Error Estimates for a Crank Nicolson Type Scheme of an Elliptic Problem with Dynamical Boundary Conditions2016-03-23T23:57:33-07:00Rola Ali Ahmadrola.ahmad@windowslive.comToufic El Arwadit.elarwadi@bau.edu.lbHoussam Chraytehh.chrayteh@yahoo.frJean-Marc Sac-Epeejean-marc.sac-epee@univ-lorraine.frIn 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.2016-03-10T01:42:00-08:00Copyright (c) 2016 Journal of Mathematics Researchhttp://www.ccsenet.org/journal/index.php/jmr/article/view/58075Solving Third-Order Singularly Perturbed Problems: Exponentially and Polynomially Fitted Trial Functions2016-03-23T23:57:33-07:00Chein-Shan Liuliucs@ntu.edu.twFor 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.2016-03-10T00:00:00-08:00Copyright (c) 2016 Journal of Mathematics Researchhttp://www.ccsenet.org/journal/index.php/jmr/article/view/58076Optimal Geometric Disks Covering using Tessellable Regular Polygons2016-03-23T23:57:33-07:00Elvis K. Donkohelvis.donkor@uenr.edu.ghAlex A. Opokuelvis.donkor@uenr.edu.gh<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>2016-03-10T00:00:00-08:00Copyright (c) 2016 Journal of Mathematics Researchhttp://www.ccsenet.org/journal/index.php/jmr/article/view/58078Standard Ideals in BCL+ Algebras2016-03-23T23:57:33-07:00Yonghong Liuhylinin@163.comWe 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.2016-03-10T00:00:00-08:00Copyright (c) 2016 Journal of Mathematics Researchhttp://www.ccsenet.org/journal/index.php/jmr/article/view/56841An Extension of the Euler Phi-function to Sets of Integers Relatively Prime to 302016-03-23T23:57:33-07:00Mbakiso Fix Mothebemothebemf@mopipi.ub.bwBen T. Modisemothebemf@mopipi.ub.bwLet $n \geq 1$ 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.2016-03-10T01:58:47-08:00Copyright (c) 2016 Journal of Mathematics Researchhttp://www.ccsenet.org/journal/index.php/jmr/article/view/58197Optimal Two Hubs Location and Network Construction for a Regional Company of WAEMU Zone2016-03-23T23:57:33-07:00Ndogotar Nelioneliondogotar@gmail.comSalimata G. Diagneneliondogotar@gmail.comYoussou Gningueneliondogotar@gmail.comIn 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.2016-03-16T00:00:00-07:00Copyright (c) 2016 Journal of Mathematics Researchhttp://www.ccsenet.org/journal/index.php/jmr/article/view/57115Osserman Lightlike Hypersurfaces on a Foliated Class of Lorentzian Manifolds2016-03-23T23:57:33-07:00C. Atindogbeyq8@uwindsor.caK. L. Duggalyq8@uwindsor.caThis 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.2016-03-16T20:19:32-07:00Copyright (c) 2016 Journal of Mathematics Researchhttp://www.ccsenet.org/journal/index.php/jmr/article/view/57783Stability Characterization of Three Porous Layers Model in the Presence of Transverse Magnetic Field2016-03-25T06:14:19-07:00Ahmad R. AlHamdanar.alhamdan@paaet.edu.kwSameh A. Alkharashisameh7977@yahoo.comThe 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.2016-03-23T23:48:06-07:00Copyright (c) 2016 Journal of Mathematics Researchhttp://www.ccsenet.org/journal/index.php/jmr/article/view/58564Reviewer Acknowledgements for Journal of Mathematics Research, Vol. 8, No. 22016-03-29T19:45:30-07:00Sophia Wangjmr@ccsenet.org<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>2016-03-30T00:00:00-07:00Copyright (c) 2016 Journal of Mathematics Research