2015
7
4
4
108
Evaluating QuasiMonte Carlo (QMC) algorithms in blocks decomposition of detrended
2
2
The length of equal minimal and maximal blocks has eected on logarithmscale logarithm against sequential function on variance and bias of detrended uctuation analysis, by using Quasi Monte Carlo(QMC) simulation and Cholesky decompositions, minimal block couple and maximal are founded which are minimum the summation of mean error square in Horest power.
1

293
299


K.
Fathi Vajargah
Department of Statistics, Islamic Azad University, North Branch Tehran, Iran.
Department of Statistics, Islamic Azad University,
Iran
k fathi@iautnb.ac.ir
Detrended uctuation analysis
Longrange dependence
Cholesky decomposition
Quasi Monte Carlo simulation
An artificial intelligence model based on LSSVM for thirdparty logistics provider selection
2
2
The use of thirdparty logistics (3PL) providers is regarded as new strategy in logistics management. The relationships by considering 3PL are sometimes more complicated than any classical logistics supplier relationships. These relationships have taken into account as a wellknown way to highlight organizations' flexibilities to regard rapidly uncertain market conditions, follow core competencies, and provide longterm growth strategies. Choosing service providers has been considered as a notable research area in the last two decades. The review of the literature represents that neural networks have proposed better performance than traditional methods in this area. Therefore, in this paper, a new enhanced artificial intelligence (AI) approach is taken into consideration to assist the decision making for the logistics management which can be successfully presented in cosmetics industry for longterm prediction of the real performance data. The presented AI approach is based on modern hybrid neural networks to improve the decision making for the 3PL selection. The model can predict the overall performance of the 3PL according to least squares support vector machine and cross validation technique. In addition, the proposed AI approach is given for the 3PL selection in a real case study for the cosmetics industry. The computational results indicate that the proposed AI approach provides high performance and accuracy through the reallife situations prediction along with comparing two other two wellknown AI methods.
1

301
311


B.
Vahdani
Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran.
Faculty of Industrial and Mechanical Engineering,
Iran
b.vahdani@gmail.com


Sh.
Sadigh Behzadi
Department of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran.
Department of Mathematics, Islamic Azad University
Iran


S. M.
Mousavi
Industrial Engineering Department, Faculty of Engineering, Shahed University, Tehran, Iran.
Industrial Engineering Department, Faculty
Iran
Artificial Intelligence (AI)
Least squares support vector machine (LSSVM)
Cross Validation
Thirdparty logistics (3PL) provider selection problem
Implementation of SincGalerkin on Parabolic Inverse problem with unknown boundary condition
2
2
The determination of an unknown boundary condition, in a nonlinaer inverse diffusion problem is considered. For solving these illposed inverse problems, Galerkin method based on Sinc basis functions for space and time will be used. To solve the system of linear equation, a noise is imposed and Tikhonove regularization is applied. By using a sensor located at a point in the domain of $x$, say $x=a'$, and determining $u(a',t)$ a stable solution will be achived. An illustrative example is provided to show the ability and the efficiency of this numerical approach.
1

313
319


J.
Biazar
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P. O. Box 413351914, Guilan, Rasht, Iran.
Department of Applied Mathematics, Faculty
Iran
biazar@guilan.ac.ir


T.
Houlari
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan,
P. O. Box 413351914, Guilan, Rasht, Iran.
Department of Applied Mathematics, Faculty
Iran
Illposed inverse problems
SincGalerkin method
Tikhonov regularization
Unkown boundary condition
Detecting the location of the boundary layers in singular perturbation problems with general linear nonlocal boundary conditions
2
2
Singular perturbation problems have been studied by many mathematicians. Since the approximate solutions of these problems are as the sum of internal solution (boundary layer area) and external ones, the formation or nonformation of boundary layers should be specified. This paper, investigates this issue for a singular perturbation problem including a first order differential equation with general nonlocal boundary condition. It needs to say that it is simple for local boundary conditions and there is no difficulty. However, the formation of boundary layers for nonlocal case is not as stright forward as local case. To tackle this problem generalized solution of differential equation and some necessary conditions are used.
1

321
326


N.
Aliev
Department of Mathematics, Baku State University, Baku, Azarbaijan.
Department of Mathematics, Baku State University,
Iran


S.
Ashrafi
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
Department of Mathematics, Azarbaijan Shahid
Iran


A. R.
Sarakhsi
Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
Department of Mathematics, Azarbaijan Shahid
Iran
s.alireza.sarakhsi@azaruniv.edu
Generalized solution
Necessary conditions
Nonlocal boundary conditions
Singular perturbation problems
Fundamental solution
Uniform limit
Fuzzy numbervalued fuzzy relation
2
2
It is well known fact that binary relations are generalized mathematical functions. Contrary to functions from domain to range, binary relations may assign to each element of domain two or more elements of range. Some basic operations on functions such as the inverse and composition are applicable to binary relations as well. Depending on the domain or range or both are fuzzy value fuzzy set, interval fuzzy value fuzzy set or fuzzy number value fuzzy set, define of the fuzzy relation is different. Given a fuzzy relation, its domain and range are fuzzy number value fuzzy sets. In this paper, initially we define fuzzy number value fuzzy sets and then propose fuzzy numbervalued fuzzy relation (FNVFR). We also introduce property of reflexive, symmetric, transitive and equivalence relation of FNVFR. As follow, we prove some theorems for FNVFR with property of reflexive, symmetric and transitive. Also, we show examples for FNVFR.
1

327
333


M.
Adabitabar Firozja
Department of mathematics, Qaemshar Branch, Islamic
Azad University, Qaemshahr, Iran.
Department of mathematics, Qaemshar Branch,
Iran
mohamadsadega@yahoo.com


S.
Firouzian
Department of Mathematics, Payame Noor University (PNU), Tehran, Iran.
Department of Mathematics, Payame Noor University
Iran
Fuzzy numbers
Relation
Fuzzy relation
Reflexive
Symmetric and transitive
Autoconvolution equations and generalized MittagLeffler functions
2
2
This article is devoted to study of the autoconvolution equations and generalized MittagLeffler functions. These types of equations are given in terms of the Laplace transform convolution of a function with itself. We state new classes of the autoconvolution equations of the first kind and show that the generalized MittagLeffler functions are solutions of these types of equations. In view of the inverse Laplace transform, we use the SchoutenVanderpol theorem to establish an autoconvolution equation for the generalized MittagLeffler functions in terms of the Laplace and Mellin transforms. Also, in special cases we reduce the solutions of the introduced autoconvolution equations with respect to the Volterra $mu$functions. Moreover, more new autoconvolution equations are shown using the Laplace transforms of generalized MittagLeffler functions. Finally, as an application of the autoconvolution equations in thermodynamic systems, we apply the Laplace transform for solving the Boltzmann equation and show its solution in terms of generalized MittagLeffler functions.
1

335
341


S.
Eshaghi
Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrekord University, P.O. Box 115, Shahrekord, Iran.
Department of Applied Mathematics, Faculty
Iran


A.
Ansari
Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrekord University, P.O. Box 115, Shahrekord, Iran.
Department of Applied Mathematics, Faculty
Iran
alireza_1038@yahoo.com
Mittagleffler function
Volterra function
Autoconvolution equations
Boltzmann equation
Dirichlet series and approximate analytical solutions of MHD flow over a linearly stretching sheet
2
2
The paper presents the seminumerical solution for the magnetohydrodynamic (MHD) viscous flow due to a stretching sheet caused by boundary layer of an incompressible viscous flow. The governing partial differential equations of momentum equations are reduced into a nonlinear ordinary differential equation (NODE) by using a classical similarity transformation along with appropriate boundary conditions. Both nonlinearity and infinite interval demand novel the mathematical tools for their analysis. The solution of the resulting third order nonlinear boundary value problem with an infinite interval is obtained using fast converging Dirichlet series method and approximate analytical method viz. method of stretching of variables. These methods have the advantages over pure numerical methods for obtaining the derived quantities accurately for various values of the parameters involved at a stretch and they are valid in much larger parameter domain as compared with HAM, HPM, ADM and the classical numerical schemes. Also, these methods require less computer memory space as compared with pure numerical methods.
1

343
350


Vishwanath
B. Awati
Department of Mathematics, Rani Channamma University, Belagavi 591 156, India.
Department of Mathematics, Rani Channamma
Iran
await\_vb@yahoo.com


Mahesh
Kumar N
Department of Mathematics, Rani Channamma University, Belagavi 591 156, India.
Department of Mathematics, Rani Channamma
Iran


Krishna
B. Chavaraddi
Department of Mathematics, Govt. First Grade College, Naragund â€“ 582 207, India.
Department of Mathematics, Govt. First Grade
Iran
Magnetohydrodynamics (MHD)
Boundary layer flow
Shrinking sheet
Dirichlet series
Powell's method
Method of stretching variables
Application of the exact operational matrices for solving the EmdenFowler equations, arising in Astrophysics
2
2
The objective of this paper is applying the wellknown exact operational matrices (EOMs) idea for solving the EmdenFowler equations, illustrating the superiority of EOMs over ordinary operational matrices (OOMs). Up to now, a few studies have been conducted on EOMs ; but the solved differential equations did not have highdegree nonlinearity and the reported results could not strongly show the excellence of this new method. So, we chose EmdenFowler type differential equations and solved them utilizing this method. To confirm the accuracy of the new method and to show the preeminence of EOMs over OOMs, the norm 1 of the residual and error function for both methods are evaluated for multiple $m$ values, where $m$ is the degree of the Bernstein polynomials. We report the results by some plots to illustrate the error convergence of both methods to zero and also to show the primacy of the new method versus OOMs. The obtained results demonstrate the increased accuracy of the new method.
1

351
374


S. A.
Hossayni
Department of Computer Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Evin,Tehran 19839, Iran.
Department of Computer Sciences, Faculty
Iran


J. A.
Rad
Department of Computer Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Evin,Tehran 19839, Iran.
Department of Computer Sciences, Faculty
Iran


K.
Parand
Department of Computer Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Evin,Tehran 19839, Iran.
Department of Computer Sciences, Faculty
Iran
k_parand@sbu.ac.ir


S.
Abbasbandy
Department of Mathematics, Imam Khomeini International University, Qazvin, Iran.
Department of Mathematics, Imam Khomeini
Iran
abbasbandy@yahoo.com
Exact operational matrices
Bernstein polynomials
EmdenFowler equation
LaneEmden equation
Numerical solution of twodimensional fuzzy Fredholm integral equations using collocation fuzzy wavelet like operator
2
2
In this paper, first we propose a new method to approximate the solution of twodimensional linear fuzzy Fredholm integral equations of the second kind based on the fuzzy wavelet like operator. Then, we discuss and investigate the convergence and error analysis of the proposed method. Finally, to show the accuracy of the proposed method, we present two numerical examples.
1

375
385


N.
Hassasi
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
Department of Mathematics, Karaj
Iran


R.
Ezzati
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
Department of Mathematics, Karaj
Iran
ezati@kiau.ac.ir
Fuzzy linear system
Twodimensional fuzzy Fredholm integral equation
Fuzzy wavelet like operator.