2015
7
1
1
70
The effects of MHD flow of third grade fluid by means of meshless local radial point interpolation (MLRPI)
2
2
The meshless local radial point interpolation (MLRPI) method is applied to examine the magnetohydrodynamic (MHD) ow of third grade uid in a porous medium. The uid saturates the porous space between the two boundaries. Several limiting cases of fundamental ows can be obtained as the special cases of present analysis. The variations of pertinent parameters are addressed.
1

1
11


S.
Abbasbandy
Department of Mathematics, Imam Khomeini International University, Ghazvin, 3414916818, Iran.
Department of Mathematics, Imam Khomeini
Iran
abbasbandy@yahoo.com


E.
Shivanain
Department of Mathematics, Imam Khomeini International University, Ghazvin, 3414916818, Iran.
Department of Mathematics, Imam Khomeini
Iran
Porous medium
Magnetohydrodynamic
NonNewtonian fluid
Local weak formulation
Meshless local radial point interpolation
Electromagnetismlike algorithm for fuzzy flow shop batch processing machines scheduling to minimize total weighted earliness and tardiness
2
2
In this paper, we study a flow shop batch processing machines scheduling problem. The fuzzy due dates are considered to make the problem more close to the reality. The objective function is taken as the weighted sum of fuzzy earliness and fuzzy tardiness. In order to tackle the given problem, we propose a hybrid electromagnetismlike (EM) algorithm, in which the EM is hybridized with a diversification mechanism and effective local search to enhance the efficiency of the algorithm. The proposed algorithms are evaluated by comparison against two existing wellknown EMs in the literature. Additionally, we propose some heuristics based on the earliest due date (EDD) to solve the given problem. The proposed hybrid EM algorithm is tested on sets of various randomly generated instances. For this purpose, we investigate the impacts of the rise in problem sizes on the performance of the developed algorithm. Through the analysis of the experimental results, the highly effective performance of the proposed algorithm is shown against the two existing wellknown EMs from the literature and proposed EDDs.
1

11
24


S.
MollaAlizadehZavardehi
Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran.
Department of Industrial Engineering, Science
Iran
saber.alizadeh@gmail.com


R.
TavakkoliMoghaddam
School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran.
School of Industrial Engineering, College
Iran


F.
Hosseinzadeh Lotfi
Department of Mathematics, Science Research Branch, Islamic Azad University, Tehran, Iran.
Department of Mathematics, Science Research
Iran
Flow shop batch processing machines
Fuzzy due date
Hybrid electromagnetismlike algorithm
Fuzzy earliness/tardiness
A new method to determine a welldispersed subsets of nondominated vectors for MOMILP problem
2
2
Multiobjective optimization is the simultaneous consideration of two or more objective functions that are completely or partially inconflict with each other. The optimality of such optimizations is largely defined through the Pareto optimality. Multiple objective integer linear programs (MOILP) are special cases of multiple criteria decision making problems. Numerous algorithms have been designed to solve MOILP and multiple objective mixed integer linear programs. However, MOILP have not received the algorithmic attention that continuous problems have. This paper uses the data envelopment analysis (DEA) technique to find a welldispersed nondominated vectors of multiple objective mixed integer linear programming (MOMILP) problem with bounded or unbounded feasible region, while the previous methods consider only problems with bounded feasible region. To this end, it uses the L$_1$norm and the modified slackbased measure (MSBM) model. The proposed method does not need the filtering procedures and it ranks the elements of welldispersed nondominated vectors of MOMILP problem. The proposed algorithm is illustrated by using two numerical examples.
1

25
33


G.
Tohidi
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran.
Department of Mathematics, Islamic Azad University
Iran
ghatohidi@yahoo.com


SH.
Razavian
Department of Mathematics, Islamic Azad University, South Tehran Branch, Tehran, Iran.
Department of Mathematics, Islamic Azad University
Iran
Welldispersed nondominated vectors
DEA
L$_1$norm
MOMILP
Nondominated vectors
On the convergence speed of artificial neural networks in the solving of linear systems
2
2
Artificial neural networks have the advantages such as learning, adaptation, faulttolerance, parallelism and generalization. This paper is a scrutiny on the application of diverse learning methods in speed of convergence in neural networks. For this aim, first we introduce a perceptron method based on artificial neural networks which has been applied for solving a nonsingular system of linear equations. Next two famous learning techniques namely, the steepest descent and quasiNewton methods are employed to adjust connection weights of the neural net. The main aim of this study is to compare ability and efficacy of the techniques in speed of convergence of the present neural net. Finally, we illustrate our results on some numerical examples with computer simulations.
1

35
43


A.
Jafarian
Department of Mathematics, Urmia Branch, Islamic Azad University, Urmia, Iran.
Department of Mathematics, Urmia
Iran
jafarian5594@yahoo.com
System of linear equations
QuasiNewton method
Steepest descent method
Cost Function
Learning algorithm
On computing the general NarumiKatayama index of some graphs
2
2
The NarumiKatayama index was the first topological index defined by the product of some graph theoretical quantities. Let $G$ be a simple graph with vertex set $V = {v_1,ldots, v_n }$ and $d(v)$ be the degree of vertex $v$ in the graph $G$. The NarumiKatayama index is defined as $NK(G) = prod_{vin V}d(v)$. In this paper, the NarumiKatayama index is generalized using a $n$vector $x$ and it is denoted by $GNK(G, x)$ for a graph $G$. Then, we obtain some bounds for $GNK$ index of a graph $G$ by terms of clique number and independent number of $G$. Also we compute the $GNK$ index of splice and link of two graphs. Finally, we use from our results to compute the $GNK$ index of a class of dendrimers.
1

45
50


S. Z.
Aghamohammadi
Department of Mathematics, Eslamshahr Branch, Islamic Azad University, Tehran, Iran.
Department of Mathematics, Eslamshahr
Iran
aghamohamadi@iiau.ac.ir
NarumiKatayama index
Molecular graph
Clique number
Independent number
Dendrimers.
Duality of $g$Bessel sequences and some results about RIP $g$frames
2
2
In this paper, first we develop the duality concept for $g$Bessel sequences and Bessel fusion sequences in Hilbert spaces. We obtain some results about dual, pseudodual and approximate dual of frames and fusion frames. We also expand every $g$Bessel sequence to a frame by summing some elements. We define the restricted isometry property for $g$frames and generalize some results from (B. G. Bodmann et al, Fusion frames and the restricted isometry property, Num. Func. Anal. Optim. 33 (2012) 770790) to $g$frame situation. Finally we study the stability of $g$frames under erasure of operators.
1

51
61


M. S.
Asgari
Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, Tehran, Iran.
Department of Mathematics, Faculty
Iran
moh.asgari@iauctb.ac.ir


G.
Kavian
Department of Mathematics, Faculty of Science, Islamic Azad University, Roudehen Branch, Roudehen, Iran.
Department of Mathematics, Faculty
Iran
$G$frames
Fusion frames
Dual frames
Pseudodual frames
Approximate dual frames
Bessel sequences
Numerical solution of nonlinear fractional VolterraFredholm integrodifferential equations with mixed boundary conditions
2
2
The aim of this paper is solving nonlinear VolterraFredholm fractional integrodifferential equations with mixed boundary conditions. The basic idea is to convert fractional integrodifferential equation to a type of second kind Fredholm integral equation. Then the obtained Fredholm integral equation will be solved with Nystr"{o}m and NewtonKantorovitch method. Numerical tests for demonstrating the accuracy of the method is included.
1

63
69


D.
Nazari Susahab
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
Department of Mathematics, Azarbaijan
Iran


M.
Jahanshahi
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
Department of Mathematics, Azarbaijan
Iran
jahanshahi@azaruniv.edu
Fractional integrodifferential equations
Boundary mixed Conditions
Nystr"{o}m method
NewtonKantorovitch method.
Project selection with limited resources in data envelopment analysis
2
2
In this paper allocating a fixed resource for producing finite projects in order to obtaining a desired level of efficiency will be discussed. Note that it is assumed that a vector of limited sources is at hand. This vector of resources can be contained human resource, budget, equipment, and facilities. In any firm there exist different suggestions from subunits for running a new projects in line with the organization's objectives. Implementation of all the suggested projects need high level of resources. In accordance to this fact that resources are limited thus it is not possible to run all of the projects. Thus, selecting high quality projects or those with high efficiency is more desirable for implementation. In this paper a method for selecting projects will be proposed which has high performance.
1

71
76


M.
Jahantighi
Department of Mathematics, Islamic Azad University, Zahedan Branch, Zahedan, Iran.
Department of Mathematics, Islamic
Iran
mjahantighi@yahoo.com


Z.
Moghaddas
Department of Electrical, Computer and Biomedical Engineering, Islamic Azad University, Qazvin Branch, Qazvin, Iran.
Department of Electrical, Computer
Iran


M.
Vaezghasemi
Department of Mathematics, Islamic Azad University, Rasht Branch, Rasht, Iran.
Department of Mathematics, Islamic
Iran
Data Envelopment Analysis
Efficiency
Error analysis
Stagnationpoint flow of a viscous fluid towards a stretching surface with variable thickness and thermal radiation
2
2
In the present analysis, we study the boundary layer flow of an incompressible viscous fluid near the twodimensional stagnationpoint flow over a stretching surface. The effects of variable thickness and radiation are also taken into account and assumed that the sheet is nonflat. Using suitable transformations, the governing partial differential equations are first converted to ordinary one and then solved numerically by fourth and fifth order RungeKuttaFehlberg method with shooting technique. The influence of the various interesting parameters on the flow and heat transfer is analyzed and discussed through graphs in detail. Comparison of the present results with known numerical results is shown and a good agreement is observed. It is found that boundary layer is formed when $lambda > 1 $. On the other hand, an inverted boundary layer is formed when $lambda < 1 $.
1

77
85


B. C.
Prasanna Kumara
Department of Mathematics, Government First Grade College, Koppa, Karnataka, India.
Department of Mathematics, Government
Iran


G. K.
Ramesh
Department of Studies in Mathematics, Kuvempu University, Shimoga, Karnataka, India.
Department of Studies in Mathematics,
Iran


A. J.
Chamkha
Mechanical Engineering Department, Prince Mohammad Bin Fahd University (PMU) P.O. Box 1664, AlKhobar 31952, Kingdom of Saudi Arabia.
Mechanical Engineering Department, Princ
Iran
achamkha@pmu.edu.sa


B. J.
Gireesha
Department of Studies in Mathematics, Kuvempu University, Shimoga, Karnataka, India.
Department of Studies in Mathematics,
Iran
Stagnationpoint flow
Variable thickness
Stretching sheet
Thermal radiation
Numerical solution
Application of CAS wavelet to construct quadrature rules for numerical integration
2
2
In this paper, based on CAS wavelets we present quadrature rules for numerical solution of double and triple integrals with variable limits of integration. To construct new method, first, we approximate the unknown function by CAS wavelets. Then by using suitable collocation points, we obtain the CAS wavelet coefficients that these coefficients are applied in approximating the unknown function. The major advantage of new approach is that this method can approximate the value of some improper integrals. To illustrate the efficiency and the accuracy of the method, some numerical examples are given.
1

87
92


S.
Rezabeyk
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
Department of Mathematics, Karaj
Iran


KH.
Maleknejad
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
Department of Mathematics, Karaj
Iran
malehnejad@iust.ac.ir
CAS Wavelets
Quadrature rules
Hybrid functions
Double and triple integrals.
Production and investigation about nano structures of heterogeneous ZnS/glass thin layer
2
2
ZnS/glass Thinlayer in high vacuum condition and $40$ degree Deposition angle has been produced by resistance evaporated method with $28$ nm thickness. cabin deposition temperature ZnS layer was about $50C$ and substrates were kept at room temperature. The Atomic Force Microscopy (AFM) and XRD analyses are perfectly accomplished for this layer.
1

93
98


H.
Kangarlou
Department of Mathematics, Urmia Branch, Islamic Azad University, Urmia, Iran.
Department of Mathematics, Urmia&lr
Iran
h.kangarlou@iaurmia.ac.ir
AFM
XRD
nanostructure
Incompressible smoothed particle hydrodynamics simulations on free surface flows
2
2
The water wave generation by wave paddle and a freely falling rigid body are examined by using an Incompressible Smoothed Particle Hydrodynamics (ISPH). In the current ISPH method, the pressure was evaluated by solving pressure Poisson equation using a semiimplicit algorithm based on the projection scheme and the source term of pressure Poisson equation contains both of divergence free velocity field and density invariance condition. Here, the fluidstructure interaction is introduced in free surface flows and the structure is taken as a rigid body motion. In this study, we generated the water waves using the Scott Russell wave generator, in which the heavy box sinking vertically into water. Also, the solitary wave is generated by using the wave paddle and the generated solitary wave profiles are compared with the available results with a good agreement. Free falling of torpedo over the water in tank was simulated by using 3DISPH method.
1

99
106


A.
Mahmoud Aly
Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt.
Department of Mathematics, Faculty
Iran
abdelreheam.abdallah@sci.svu.edu.eg
Circular cylinder
ISPH
Free surface flow
Scott Russell
Torpedo
Wave paddle
On The Ranking Fuzzy Numbers Using Signal/Noise Ratios
2
2
The importance as well as the diculty of the problem of ranking fuzzy numbers is pointed out. Here we consider approaches to the ranking of fuzzy numbers based upon the idea of associating with a fuzzy number a scalar value, its signal/noise ratios, where the signal and the noise are dened as the middlepoint and the spread of each acut of a fuzzy number, respectively. We use the value of a as the weight of the signal/noise ratio of each acut of a fuzzy number to calculate the ranking index of each fuzzy number. The proposed method can rank any kinds of fuzzy numbers with dierent kinds of membership functions.
1

107
113


R.
Saneifard
Department of Mathematics, Urmia Branch, Islamic Azad University, Urmia, Iran.
Department of Mathematics, Urmia Branch,
Iran
srsaneeifard@yahoo.com