Publisher: CIRWORLD (Total: 13 journals) [Sort by number of followers]

Journal of Advances in Mathematics
Number of Followers: 7 Open Access journal ISSN (Print) 23471921 Published by CIRWORLD [13 journals] 
 Further Acceleration of the Simpson method for solving nonlinear equations
Authors: Rajinder Thukral
Pages: 7631  7639
Abstract: There are two aims of this paper, firstly, we present an improvement of the classical Simpson thirdorder method for finding zeros a nonlinear equation and secondly, we introduce a new formula for approximating secondorder derivative. The new Simpsontype method is shown to converge of the order four. Per iteration the new method requires same amount of evaluations of the function and therefore the new method has an efficiency index better than the classical Simpson method. We examine the effectiveness of the new fourthorder Simpsontype method by approximating the simple root of a given nonlinear equation. Numerical comparisons is made with classical Simpson method to show the performance of the presented method.
PubDate: 20180525
DOI: 10.24297/jam.v14i2.7415
Issue No: Vol. 14, No. 2 (2018)
 The Trisection of an Arbitrary Angle
Authors: Arthur Clair Rediske
Pages: 7640  7669
Abstract: This paper presents an elegant classical geometric solution to the ancient Greek's problem of angle trisection. Its primary objective is to provide a provable construction for resolving the trisection of an arbitrary angle, based on the restrictions governing the problem. The angle trisection problem is believed to be unsolvable for compassstraightedge construction. As stated by Pierre Laurent Wantzel (1837), the solution of the angle trisection problem corresponds to an implicit solution of the cubic equation x cubed minus 3x minus 1 equals 0, which is algebraically irreducible, and so is the geometric solution of the angle trisection problem. The goal of the presented solution is to show the possibility to solve the trisection of an arbitrary angle using the traditional Greek's tools of geometry (a classical compass and straightedge) by changing the problem from the algebraic impossibility classification to a solvable plane geometrical problem. Fundamentally, this novel work is based on the fact that algebraic irrationality is not a geometrical impossibility. The exposed methods of proof have been reduced to the Euclidean postulates of classical geometry.
PubDate: 20180530
DOI: 10.24297/jam.v14i2.7402
Issue No: Vol. 14, No. 2 (2018)
 The Neutrosophic soft modules
Authors: Kemale Veliyeva
Pages: 7670  7681
Abstract: Molodtsov initiated the concept of soft sets in [17]. Maji et al. defined some operations on soft sets in [13]. AktaÅŸ et al. generalized soft sets by defining the concept of soft groups in [2]. After then, QiuMei Sun et al. gave soft modules in [20]. In this paper, the concept of neutrosophic soft module is introduced and some of its basic properties are studied.
PubDate: 20180530
DOI: 10.24297/jam.v14i2.7401
Issue No: Vol. 14, No. 2 (2018)
 The Role of conservation laws in the development of nonequilibrium and
emergence of turbulence. Peculiarities of calculating nonequilibrium flows
Authors: Ludmila Ivanovna Petrova
Pages: 7682  7690
Abstract: It turns out that the equations of mathematical physics, which consist equations of the conservation laws for energy, linear momentum, angular momentum, and mass, possess additional, hidden, properties that enables one to describe not only a variation of physical quantities (such as energy, pressure, density) but also processes such as origination of waves, vortices, turbulent pulsations and other ones. It is caused by the conservation laws properties. In present paper the development of nonequilibrium in gasdynamic systems, which are described by the Euler and NavierStokes equations, will be investigated. Under studying the consistence of conservation laws equations, from the Euler and NavierStokes equations it can be obtained the evolutionary relation for entropy (as a state functional). The evolutionary relation possesses a certain peculiarity, namely, it turns out to be nonidentical. This fact points out to inconsistence of the conservation law equations and noncommutativity of conservation laws. Such a nonidentical relation discloses peculiarities of the solutions to the NavierStokes equations due to which the Euler and NavierStokes equations can describe the processes the development of nonequilibrium and emergence of vortices and turbulence. It has been shown that such processes can be described only with the help of two nonequivalent coordinate systems or by simultaneous using numerical and analytical methods.
PubDate: 20180530
DOI: 10.24297/jam.v14i2.7383
Issue No: Vol. 14, No. 2 (2018)
 A SolutÄ±on AlgorÄ±thm for Interval TransportatÄ±on Problems vÄ±a
TÄ±meCost Tradeoff
Authors: Inci Albayrak, Mustafa SÄ°vri, Gizem Temelcan
Pages: 7691  7701
Abstract: In this paper, an algorithm for solving interval timecost tradeoff transportation problemsis presented. In this problem, all the demands are defined as intervalto determine more realistic duration and cost. Mathematical methods can be used to convert the timecost tradeoff problems to linear programming, integer programming, dynamic programming, goal programming or multiobjective linear programming problems for determining the optimum duration and cost. Using this approach, the algorithm is developed converting interval timecost tradeoff transportation problem to the linear programming problem by taking into consideration of decision maker (DM).
PubDate: 20180612
DOI: 10.24297/jam.v14i2.7417
Issue No: Vol. 14, No. 2 (2018)
 Generalized Rayleighquotient formulas for the real parts, imaginary
parts, and moduli of the eigenvalues of diagonalizable matrices
Authors: Ludwig Kohaupt
Pages: 7702  7728
Abstract: In the present paper, generalized Rayleighquotient formulas for the real parts, imaginary parts, and moduli of the eigenvalues of diagonalizable matrices are derived. These formulas are new and correspond to similar formulas for the eigenvalues of selfadjoint matrices obtained recently. Numerical examples underpin the theoretical findings
PubDate: 20180613
DOI: 10.24297/jam.v14i2.7373
Issue No: Vol. 14, No. 2 (2018)
 MultiSource Backlogged Probabilistic Inventory Model for Crisp and Fuzzy
Environment
Authors: Osama Mahmoud Hollah
Pages: 7729  7743
Abstract: This paper proposed a multiitem multisource probabilistic periodic review inventory model under a varying holding cost constraint with zero lead time when: (1) the stock level decreases at a uniform rate over the cycle. (2) some costs are varying. (3) the demand is a random variable that follows some continuous distributions as (twoparameter exponential, Kumerswamy, Gamma, Beta, Rayleigh, Erlang distributions).
The objective function under a constraint is imposed here in crisp and fuzzy environment. The objective is to find the optimal maximum inventory level for a given review time that minimize the expected annual total cost. Furthermore, a comparison between given distributions is made to find the optimal distribution that achieves the model under considerations. Finally, a numerical example is applied.
PubDate: 20180613
DOI: 10.24297/jam.v14i2.7365
Issue No: Vol. 14, No. 2 (2018)
 Model Higgs Bundles in Exceptional Components of the Sp(4,R)Character
Variety
Authors: Georgios Kydonakis
Pages: 7744  7786
Abstract: We establish a gluing construction for Higgs bundles over a connected sum of Riemann surfaces in terms of solutions to the Sp(4,R)Hitchin equations using the linearization of a relevant elliptic operator. The construction can be used to provide model Higgs bundles in all the 2g3 exceptional components of the maximal Sp(4,R)Higgs bundle moduli space, which correspond to components solely consisted of Zariski dense representations. This also
allows a comparison between the invariants for maximal Higgs bundles and the topological invariants for Anosov representations constructed by O. Guichard and A. Wienhard.
PubDate: 20180629
DOI: 10.24297/jam.v14i2.7444
Issue No: Vol. 14, No. 2 (2018)
 Generalized Fuzzy Soft Connected Sets in Generalized Fuzzy Soft
Topological Spaces
Authors: Mohammed saleh Malfi, Fathi Hishem Khedr, Mohamad Azab Abd Allah
Pages: 7787  7805
Abstract: In this paper we introduce some types of generalized fuzzy soft separated sets and study some of their properties. Next, the notion of connectedness in fuzzy soft topological spaces due to Karata et al, Mahanta et al, and Kandil et al., extended to generalized fuzzy soft topological spaces. The relationship between these types of connectedness in generalized fuzzy soft topological spaces is investigated with the help of number of counter examples.
PubDate: 20180630
DOI: 10.24297/jam.v14i2.7461
Issue No: Vol. 14, No. 2 (2018)
 The Asymptotic Behavior of Solutions of Second order Difference Equations
With Damping Term
Authors: Jai Kumar S
Pages: 7806  7811
Abstract: The author presents some sufficient conditions for second order difference equation with damping term of the form D(anD (xn + cxnk)) + pnDxn + qnf(xn+1l) = 0. An example is given to illustrate the main results. 2010 AMS Subject Classification: 39A11 Keywords and Phrases: Second order, difference equation, damping term.
PubDate: 20180703
DOI: 10.24297/jam.v14i2.7467
Issue No: Vol. 14, No. 2 (2018)
 Estimates of Solutions to Nonlinear Evolution Equations
Authors: Alexander G. Ramm
Pages: 7812  7817
Abstract: Consider the equation u’(t) = A (t, u (t)), u(0)= U0 ; u' := du/dt (1). Under some assumptions on the nonlinear operator A(t,u) it is proved that problem (1) has a unique global solution and this solution satisfies the following estimate u (t) < µ (t) 1 for every t belongs to R+ = [0,infinity). Here µ(t) > 0, µ belongs to C1 (R+), is a suitable function and the norm u is the norm in a Banach space X with the property u (t) ’ <= u’ (t) .
PubDate: 20180703
DOI: 10.24297/jam.v14i2.7445
Issue No: Vol. 14, No. 2 (2018)
 Regional Boundary Gradient Detectability in Distributed Parameter Systems
Authors: Raheam AlSaphory
Pages: 7818  7833
Abstract: The aim of this paper is study and explore the notion of the regional boundary gradient detectability in connection with the choice of strategic gradient sensors on subregion of the considered system domain boundary. More precisely, the principal reason behind introducing this notion is that the possibility to design a dynamic system (may be called regional boundary gradient observer) which enable to estimate the unknown system state gradient. Then for linear infinite dimensional systems in a Hilbert space, we give various new results related with different measurements. In addition, we provided a description of the regional boundary exponential gradient strategic sensors for completion the regional boundary exponential gradient observability and regional boundary exponential gradient detectability. Finally, we present and illustrate the some applications of sensors structures which relate by regional boundary exponential gradient detectability in diffusion distributed parameter systems.
PubDate: 20180704
DOI: 10.24297/jam.v14i2.7478
Issue No: Vol. 14, No. 2 (2018)
 Regional Boundary Strategic Sensors Characterizations
Authors: Raheam AlSaphory
Pages: 7834  7850
Abstract: This paper, deals with the linear infinite dimensional distributed parameter systems in a Hilbert space where the dynamics of system is governed by strongly continuous semigroups. More precisely, for parabolic distributed systems the characterizations of regional boundary strategic sensors have been discussed and analyzed in different cases of regional boundary observability in infinite time interval. Furthermore, the results so obtained are applied in twodimensional systems and sensors studied under which conditions guarantee regional boundary observability in a subregion of the system domain boundary. Also, the authors show that, the existent of a sensor for the diffusion system is not strategic in the usual sense, but it may be regional boundary strategic of this system.
PubDate: 20180709
DOI: 10.24297/jam.v14i2.6368
Issue No: Vol. 14, No. 2 (2018)