2014
38
4
4
0
Numerical solution of Reynold’s equation governing noncircular gas bearing system using radial basis function
2
2
In this paper, the static characteristics of twolobe, threelobe and fourlobe noncircular gas journal bearing systems are
studied in detail. The Reynold’s equation governing the noncircular gas bearing systems are analyzed by using Radial Basis
Functions (RBF). The solutions are obtained numerically by solving systems of algebraic equations. The equilibrium position
of the rotor is obtained without using the trial and error method; which is the merit of our method.
1

389
397


H.
Rasooli Shooroki
Faculty of Mathematics, Yazd University, Yazd, Iran
Faculty of Mathematics, Yazd University,
Iran


R.
Rashidi Meybodi
Department of Mechanical Engineering, Payame Noor University, Tehran, Iran
Department of Mechanical Engineering, Payame
Iran


S. M.
Karbassi
Faculty of Advanced Education, Islamic Azad University, Yazd Branch, Yazd, Iran
Faculty of Advanced Education, Islamic Azad
Iran


G. B.
Loghmani
Faculty of Mathematics, Yazd University, Yazd, Iran
Faculty of Mathematics, Yazd University,
Iran
Reynold’s equation
noncircular gas bearings
Radial Basis Function
A NSFD scheme for Lotka–Volterra food web model
2
2
A nonstandard finite difference (NSFD) scheme has been constructed and analyzed for a mathematical model that describes Lotka–Volterra food web model. This new discrete system has the same stability properties as the continuous model and,on the whole, it preservesthe same local asymptotic stability properties. Linearized stability theory and Schur–Cohn criteria are used for local asymptoticstability of this discrete time model. Numerical results are given to support the results.
1

399
414


S.
Zibaei
Department of Mathematics, School of Mathematical Sciences, ValieAsr
University of Rafsanjan, Rafsanjan, Iran
Department of Mathematics, School of Mathematical
Iran


M.
Namjoo
Department of Mathematics, School of Mathematical Sciences, ValieAsr
University of Rafsanjan , Rafsanjan, Iran
Department of Mathematics, School of Mathematical
Iran
Lotka–Volterra
nonstandard finite difference scheme
Stability
E1, E2 and M1 transitions between n=3 levels in magnesiumlike tungsten
2
2
Electric dipole (E1) transitions of 3s3p and 3p3d, and electric quadrupole (E2) and magnetic dipole (M1) transitions between fine structure levels of 3s3p and 3p2 in Mglike tungsten (W62+) have been studied by multiconfiguration HartreeFock (MCHF) method. Multielectron ions of highZ elements are of interest in atomic structure theory. In this work BreitPauli relativistic contributions and correlation effects have been considered. The magnesiumlike tungsten lines obtained from this work are compared with other theoretical and experimental results.
1

415
421


G.
Günday Konan
Department of Physics, Sakarya University, 54187, Sakarya, Turkey
Department of Physics, Sakarya University,
Turkey


S.
Kabakçı
Department of Physics, Sakarya University, 54187, Sakarya, Turkey
Department of Physics, Sakarya University,
Turkey


L.
Özdemir
Department of Physics, Sakarya University, 54187, Sakarya, Turkey
Department of Physics, Sakarya University,
Turkey
MCHF method
allowed and forbidden transitions
transition rates
wavelengths
Analytical solutions for the fractional nonlinear telegraph equation using a modified homotopy perturbation and separation of variables methods
2
2
In this paper, first a new homotopy perturbation method for solving a fractional order nonlinear telegraph equation is introduced. By applying the proposed method, the nonlinear equation is translated to linear equations for per iteration of homotopy perturbation method. Then, the obtained problems are solved with separation method. In the examples, it is illustrated that the exact solution is obtained in one iteration by conveniently separating source term of equation.
1

423
433


H.
Kheiri
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
Department of Applied Mathematics, Faculty
Iran


S.
IrandoustPakchin
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
Department of Applied Mathematics, Faculty
Iran


M.
Javidi
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
Department of Applied Mathematics, Faculty
Iran
fractional
Telegraph equation
Caputo derivative
homotopy perturbation
separation of variables
MittagLeffler
A new model for vulnerability assessment of drought in Iran using Percent of Normal Precipitation Index (PNPI)
2
2
The Percent of Normal Precipitation Index (PNPI) is a widely used drought index to provide good estimations about the intensity, magnitude and spatial extent of droughts. The objective of this study was analyzing spatial pattern of drought by PNPI index. In this paper, according to the data of 40 stations in Iran, during 19672009, the pattern of drought hazard is evaluated. Influenced zone of each station was specified by Thiessen method. An attempt was made to create a new model of drought hazard using GIS. Three criteria for drought were studied and considered to define areas under vulnerability. Drought hazard criteria used in the present model include: maximum severity of drought in the period, trend of drought, and the maximum number of sequential arid years. Both the vulnerability indicator map and also final hazard map are classified into 5 hazard classes of drought: None, slight, moderate, severe and very severe. The final drought vulnerability map was prepared by overlaying three criteria maps in the GIS and the final hazard classes were defined on the basis of hazard scores arrived at by the mean of the main indicators, deploying the new model. The final vulnerability map shows that severe hazard areas (58% of the country) which are observed more in the northwestern, southeastern and central parts of the country are much more widespread than areas under other hazard classes.
1

435
440


M.
Masoudi
Department of Natural Resources and Environment, College of Agriculture, Shiraz University, Iran
Department of Natural Resources and Environment,
Iran


S.
Hakimi
Department of Natural Resources and Environment, College of Agriculture, Shiraz University, Iran
Department of Natural Resources and Environment,
Iran
hakimi.fsh@gmail.com
Drought
PNPI
GIS
hazard map
Iran
Numerical modeling of the temporal response of backgated metalsemiconductor metal photodetector in an equilibrium condition
2
2
We have simulated the carrier concentration and temporal response characteristics of a BackGated Metal SemiconductorMetal (BGMSM) photodetector in one dimension as a function of optical pulse position on the active region in an equilibrium condition (without bias voltage to the photodetector). We have adopted a nonlinear ambipolar transport model to simulate the behavior of photogenerated carriers in the active region of the BGMSM photodetector. From the simulation results, it is observed that for optical pulse positions in the cathode region, the magnitude of the response current is exactly the same but opposite that of the anode region. The response of the photodetector is zero when a pulse is positioned at the center of the active region. This important feature of the device could make it attractive for microscale positioning of highly sensitive instruments. Our simulation results agreed well with the experimental results.
1

441
444


A.
Habibpour
Depatment of physics, Islamic Azad University, Kazerun Branch, Kazerun, Iran
Depatment of physics, Islamic Azad University,
Iran


N.
Das
Department of Electrical and Computer Engineering, Curtin University, Australia
Department of Electrical and Computer Engineering,
Australia


H. R.
Mashayekhi
Faculty of Science, University of Kerman, Kerman, Iran
Faculty of Science, University of Kerman,
Australia
BGMSM Photodetector
equilibrium condition
ambipolar transport
Simulation
Structure of quasi ordered ∗vector spaces
2
2
Let (𝑋,𝑋+) be a quasi ordered ∗vector space with order unit, that is, a ∗vector space 𝑋 with order unite together with a cone 𝑋+⊆𝑋. Our main goal is to find a condition weaker than properness of 𝑋, which suffices for fundamental results of ordered vector space theory to work. We show that having a nonempty state space or equivalently having a nonnegative order unit is a suitable replacement for properness of 𝑋+. At first, we examine real vector spaces and then the complex case. Then we apply the results to self adjoint unital subspaces of unital ∗algebras to find direct and shorter proofs of some of the existing results in the literature.
1

445
453


G. H.
Esslamzadeh
Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, Iran
Department of Mathematics, College of Sciences,
Iran


M.
Moazami Goodarzi
Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, Iran
Department of Mathematics, College of Sciences,
Iran


F.
Taleghani
Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, Iran
Department of Mathematics, College of Sciences,
Iran
Quasi ordered ∗vector space
bounded algebra
quasi operator system
Archimedeanization
Existence solutions for nonlocal fractional differential equation with nonlinear boundary conditions
2
2
In this paper, by employing the GuoKrasnoselskii fixed point theorem in a cone, we study the existence of positive solutions to the following nonlocal fractional boundary value problems
{ 𝐷0+ 𝛼 𝑢(𝑡) = 𝑓(𝑡, 𝑢(𝑡)), 𝑡 ∈ (0,1), 𝑢𝑡 + 𝑢′(0) = 12 [𝐻1(𝜑𝑢) + ∫ 𝐻2 𝐸(𝑠 𝑢𝑠)𝑑𝑠 , 𝑢1) + 𝑢′(1) = 0, c
where c𝐷0+ 𝛼is the standard Caputo derivative of order 𝛼 1 < 𝛼< 2, 𝐸⊆ (0,1) is some measurable set. We provide conditions on 𝑓 𝐻1, 𝐻2 and 𝜑such that the problem exhibits at least one positive solution.
1

455
461


N.
Nyamoradi
Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran
Department of Mathematics, Faculty of Sciences,
Iran
nyamoradi@razi.ac.ir


H.
Alaei Dizaji
Department of Mathematics, Payame Noor University, Iran
Department of Mathematics, Payame Noor University,
Iran
Cone
fixed point theorem
standard Caputo
derivative
Friedel–Crafts acylation of aromatic compounds
2
2
An efficient method for the Friedel–Crafts acylation of a wide range of aromatic compounds in good to excellent yields under solventfree conditions, using iron zirconium phosphate (ZPFe) was investigated. The catalyst is easy to prepare and shows interesting catalytic properties. The catalyst was characterized by some instrumental techniques such as XRD, ICPOES, SEM and TEM. A wide variety of benzene derivatives reacted easily with benzoyl chloride and some of its derivatives to afford the corresponding aromatic ketones in clean and good yields with the para isomer predominating typically using 3mol% of catalyst. The use of inexpensive materials, simple and clean workup, short reaction times in most cases and good yields are the main advantages of this method. This work introduces a new application of this catalyst, not described in the literature until now. Also, the catalyst can be recovered and reused for three times without a significant loss in its activity and selectivity.
1

463
471


A. R.
Hajipour
Pharmaceutical Research Laboratory, Department of Chemistry, Isfahan
University of Technology, Isfahan 84156, Iran
Pharmaceutical Research Laboratory, Department
Iran


S. H.
Nazemzadeh
Pharmaceutical Research Laboratory, Department of Chemistry, Isfahan
University of Technology, Isfahan 84156, Iran
Pharmaceutical Research Laboratory, Department
Iran


H.
Karimi
Pharmaceutical Research Laboratory, Department of Chemistry, Isfahan
University of Technology, Isfahan 84156, Iran
Pharmaceutical Research Laboratory, Department
Iran
Iron zirconium phosphate
nanoparticles
acylation
Solventfree
solid catalyst
Numerical technique for integrodifferential equations arising in oscillating magnetic fields
2
2
In this paper, we propose the Chebyshev wavelet approximation for the numerical solution of a class of integrodifferential equation which describes the charged particle motion for certain configurations of oscillating magnetic fields. We show that the Chebyshev approximation transform an integral equation to an explicit system of linear algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the new technique.
1

473
479


M.
Ghasemi
Department of Applied Mathematics, Faculty of Mathematical Sciences,
Shahrekord University, P.O. Box 115, Shahrekord, Iran
Department of Applied Mathematics, Faculty
Iran
Integrodifferential equation
Chebyshev wavelet
charged particle motion
oscillating magnetic field
Effective workflow for optimization of intelligent well completions
2
2
Intelligent wells provide the ability for monitoring and control of downhole environment of the wells. Downhole monitoring is achieved through sensors while control is realized with downhole valves. Recovery from intelligent wells can be improved by proper selection of candidate wells/fields and optimizing the number, location and performance of the installed Interval Control Valves. Design criteria, however, suffer from incomplete understanding of the precise determination of these parameters, their interaction and combined effects. Having known the candidate well, we presented a new workflow to optimize the number, location and performance of Interval Control Valves as the main element of intelligent wells. This is a very computationally demanding and time consuming task; therefore a proxy model is developed and applied to speed up the process. Primary evaluations show that optimization of each parameter independently is not the best practice because of their interrelation and combined effects on objective function. An integrated optimization approach is therefore developed in which all the Interval Control Valves’ parameters are optimized together during the process. Considerable improvement in cumulative oil production and control of produced water is achieved by applying this method on real field data.
1

481
487


T.
Behrouz
Institute of Petroleum Engineering (IPE), School of Chemical Engineering,
Faculties of Engineering, University of Tehran, Tehran, Iran
Institute of Petroleum Engineering (IPE),
Iran


M. R.
Rasaei
Institute of Petroleum Engineering (IPE), School of Chemical Engineering,
Faculties of Engineering, University of Tehran, Tehran, Iran
Institute of Petroleum Engineering (IPE),
Iran


R.
Masoudi
Institute of Petroleum Engineering (IPE), School of Chemical Engineering,
Faculties of Engineering, University of Tehran, Tehran, Iran
Institute of Petroleum Engineering (IPE),
Iran
Intelligent well
Optimization
proxy model
workflow
interval control valve (ICV)
Synthesis and characterization of new acyclic octadentate ligand and its complexes
2
2
The reaction of an equivalent of 2 mercaptoethyl ammonium chloride with an equivalent of 2,6diformyl 4 methyl phenol produced monoamine which was reacted with half equivalent of 1,2diamine ethane to produce ethylenebis6(2mercaptoethylimine)methyl 4 methyl phenol [H4L]. The ligand was reacted with metal ions[Cr(III), Mn(II), Fe(II), Co(II), Ni(II), Cu(II), Zn(II), Cd(II), and Hg(II)] at reflux ethanol, under nitrogen at atmosphere. The ligand and derivative 2,6diformyl4methylphenol and metal ion complexes were characterized by elemental microanalysis, IR, UV, (1H, 13C, 1H1H, 1H13C)NMR and mass spectroscopies and suggested structures and octahedral for the complexes [Cr, Mn, Co, and Ni] while complexes of [Fe, Zn, Cd, and Hg] suggested tetrahedral geometry and a distorted square planar geometry around copper complex.
1

489
497


F. H. A.
AlJeboori
Ministry of Science and Technology, Baghdad, Iraq
Ministry of Science and Technology, Baghdad,
Iraq


K. k.
Hammud
Ministry of Science and Technology, Baghdad, Iraq
Ministry of Science and Technology, Baghdad,
Iraq


M. J.
AlJeboori
College of EducationIbnAlHaitham, Baghdad University, Baghdad, Iraq
College of EducationIbnAlHaitham, Baghdad
Iraq
Schiff base
metal ion
2mercaptoethyl ammonium chloride
Synthesis
acyclic octadentate