2014
38
3.1
3
0
Expression and dynamics of the solutions of some rational recursive sequences
2
2
In this paper we obtain the expression of the solutions of the following recursive sequences
1
, 0,1, . . .,
where the initial conditions are arbitrary real numbers. Also, we study the behavior of the solution of these
equations.
1

295
303


E. M.
Elsayed
Department of Mathematics, Faculty of Science, King Abdulaziz University,
P.O. Box 80203, Jeddah 21589, Saudi Arabia
Department of Mathematics, Faculty of Science,
Saudi Arabia
emelsayed2003@yahoo.com, emmelsayed@yahoo.com


S. R.
Mahmoud
Department of Mathematics, Faculty of Science, King Abdulaziz University,
P.O. Box 80203, Jeddah 21589, Saudi Arabia
Department of Mathematics, Faculty of Science,
Saudi Arabia


A. T.
Ali
Department of Mathematics, Faculty of Science, King Abdulaziz University,
P.O. Box 80203, Jeddah 21589, Saudi Arabia
Department of Mathematics, Faculty of Science,
Saudi Arabia
Difference equations
recursive sequences
Stability
periodic solution
The uniqueness theorem for differential pencils with the jump condition in the finite interval
2
2
The purpose of this paper is to investigate the inverse problem for a second order differential equation the socalled
differential pencil on the finite interval
0,1 when the solutions are not smooth. We establish properties of
the spectral characteristics, derive the Weyl function and prove the uniqueness theorem for this inverse problem.
1

305
309


A.
Neamaty
Department of Mathematics, University of Mazandaran, Babolsar, Iran
Department of Mathematics, University of
Iran


Y.
Khalili
Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran
Department of Mathematics, Sari Branch, Islamic
Iran
Inverse problem
differential pencil
jump condition
Weyl function
Primary decomposition in a soft ring and a soft module
2
2
The main objective of this study is to swing Krull intersection theorem in primary decomposition of rings and
modules to the primary decomposition of soft rings and soft modules. To fulfill this aim several notions like soft
prime ideals, soft maximal ideals, soft primary ideals, and soft radical ideals are introduced for a soft ring over a
given unitary commutative ring. Consequently, the primary decomposition of soft rings and soft modules is
established. In addition, the ascending and descending chain conditions on soft ideals and soft sub modules of soft
rings and soft modules are introduced, respectively, enabling us to develop the notions of soft Noetherian rings
and soft Noetherian modules.
1

311
320


T.
Shah
Department of Mathematics, QuaidiAzam University, Islamabad, Pakistan
Department of Mathematics, QuaidiAzam University
Pakistan


S.
Medhit
Department of Mathematics, QuaidiAzam University, Islamabad, Pakistan
Department of Mathematics, QuaidiAzam University
Pakistan
Primary decomposition
soft Noetherian ring (module)
soft primary module
minimal soft prime ideal
soft irreducible ideal
Hidden state estimation in the state space model with firstorder autoregressive process noise
2
2
In this article, the discrete time state space model with firstorder autoregressive dependent process noise is
considered and the recursive method for filtering, prediction and smoothing of the hidden state from the noisy
observation is designed. The explicit solution is obtained for the hidden state estimation problem. Finally, in a
simulation study, the performance of the designed method for discrete time state space model with dependent
process noise is verified.
1

321
327


R.
Farnoosh
Department of Applied Mathematics, Faculty of Mathematics, Iran University
of Science and Technology, Narmak, Tehran 16844, Iran
Department of Applied Mathematics, Faculty
Iran
rfarnoosh@iust.ac.ir


A.
Hajrajabi
Department of Applied Mathematics, Faculty of Mathematics, Iran University
of Science and Technology, Narmak, Tehran 16844, Iran
Department of Applied Mathematics, Faculty
Iran
State space model
dependent process noise
estimation of the hidden state
estimation of the error covariance
Adaptive mesh generation for approximation of traffic flow equations
2
2
This paper introduces a mesh generating algorithm for solving the traffic flow equation as a conservation law
equation. The idea behind the new method is to use the characteristic curves and moving nonoscillatory finite
volume method. In addition, when characteristic curves intersect, the proposed scheme uses shock speed equation
in order to improve computational efficiency. We also compare the obtained results with the corresponding
solutions computed by the moving mesh method.
1

329
336


A. R.
Soheili
The Center of Excellence on Modelling and Control Systems, Ferdowsi University of Mashhad, Mashhad, Iran
The Center of Excellence on Modelling and
Iran


N.
Davoodi
Department of Applied Mathematics, Faculty of Mathematical Sciences,
Ferdowsi University of Mashhad, Mashhad, Iran
Department of Applied Mathematics, Faculty
Iran
Traffic flow
characteristic curves
shock speed
moving finite volume method
On generalized AIPrings
2
2
In this paper, we introduce the concept of the
generalized AIPrings as a generalization of the generalized quasi
Baer rings
and generalized p.p.rings. We show that the class of the generalized AIPrings is closed under direct
products and Morita invariance. We also characterize the 2by2 formal upper triangular matrix rings of this new
class of rings. Finally, we provide several examples to show the applicability and limitation of this class of rings.
1

337
342


M.
Anzani
Department of Mathematics and Computer Science, Shahed University, Tehran, Iran
Department of Mathematics and Computer Science,
Iran


H.
Haj Seyyed Javadi
Department of Mathematics and Computer Science, Shahed University, Tehran, Iran
Department of Mathematics and Computer Science,
Iran
Baer rings
quasiBaer rings
p.p.rings
annihilators
idempotent
sunital ideal
The axisymmetric bifurcation analysis of an elastic cylindrical shell subjected to external pressure and axial loading
2
2
In this paper, the deformation of a thickwalled circular cylindrical shell of incompressible isotropic elastic
material is considered. The shell, which is made of ThreeTerm strain energy function is subjected to the
combined external and axial loading pressure. In order to obtain the relevant eigenvalues, which is the main
objective of the work, the incremental equilibrium equations are solved with two numerical, i.e. AdamsMoulton
and Compound matrix methods. Finally the bifurcation behavior is investigated by plotting the radius changes
with respect to the changes of the length of the cylinder.
1

343
348


M.
Sanjaranipour
Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
Faculty of Mathematics, University of Sistan
Iran


A.
Irandegani
Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
Faculty of Mathematics, University of Sistan
Iran
Compound matrix method
AdamsMoulton method
eigenvalues
axisymmetric bifurcation
Statistical properties of the square map
2
2
The square map is one of the functions used in cryptography. For instance, the square map is used in Rabin encryption scheme, block cipher RC6 and stream cipher Rabbit, in different forms. In this paper, we study statistical properties of the output of the square map as a vectorial Boolean function. We obtain the joint probability distribution of arbitrary number of the upper and the lower bits of the output of square map along with the asymptotic probability distribution of the upper bits of its output. Based upon a measure for evaluating the imbalance of maps, we study the imbalance of limit distribution of the restriction of square map to its upper bits. Last, we introduce the square root map and examine this map as a vectorial Boolean function; we compute probability distribution of the component Boolean functions of this new map and also obtain the imbalance of the square root map.
1

349
353


S. M.
Dehnavi
Faculty of Mathematical and Computer Sciences, Kharazmi University,Tehran, Islamic Republic of Iran
Faculty of Mathematical and Computer Sciences,
Iran
std_dehnavism@khu.ac.ir


A.
Mahmoodi Rishakani
Faculty of Sciences, Shahid Rajaee Teacher Training University, Tehran, Islamic Republic of Iran
Faculty of Sciences, Shahid Rajaee Teacher
Iran


M. R.
Mirzaee Shamsabad
Faculty of Mathematics and Computer Science, Shahid Bahonar University, Kerman, Islamic Republic of Iran
Faculty of Mathematics and Computer Science,
Iran


E.
Pasha
Faculty of Mathematical and Computer Sciences, Kharazmi University,Tehran, Islamic Republic of Iran
Faculty of Mathematical and Computer Sciences,
Iran
Square Map
square root map
vectorial boolean function
component boolean function
asymptotic probability distribution
Classification of bounded travelling wave solutions of the generalized Zakharov equation
2
2
By using bifurcation theory of planar ordinary differential equations all different bounded travelling wave solutions of the Generalized Zakharov equation are classified in different parametric regions . In each of these parametric regions the exact explicit parametric representation of all solitary , kink (anti kink) and periodic wave solutions as well as their numerical simulation and their corresponding phase portraits are obtained .
1

355
364


H. R. Z.
Zangeneh
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran, 8415683111
Department of Mathematical Sciences, Isfahan
Iran


R.
Kazemi
Department of Mathematical Sciences, University of Kashan, Ravand Road, Kashan, Iran, 8731753153
Department of Mathematical Sciences, University
Iran


M.
Mosaddeghi
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran, 8415683111
Department of Mathematical Sciences, Isfahan
Iran
Generalized Zakharov equation
travelling wave solutions
Bifurcation Theory
The modelling and analysis of nonlinear systems using a new expert system approach
2
2
In the present study, a new modelling technique was developed for the modelling and analysis of hyperchaotic
systems using an expert system based on wavelet decompositions and the Adaptive NeuroFuzzy Inference
System (ANFIS). The success and superior properties of this new expert system were shown by applying the
hyperchaotic Chen system which is a hyperchaotic system. The obtained expert system consists of two layers,
including wavelet decomposition and ANFIS. Wavelet decomposition was used for extracting features in the first
layer, and ANFIS was used for system modelling in second layer. Furthermore, HSPICE simulation of the
hyperchaotic Chen system was carried out for comparison with the proposed expert system. The structure of the
ANFIS was improved and trained in the MATLAB toolbox. Numerical simulations were used in this study. Five
various data sets have been used to test the simulation speed of the proposed expert system and HSPICE. The
obtained results show that the proposed expert system simulation has much higher speed and accuracy in
comparison with HSPICE simulation. The proposed expert system can be simply used in software tools for the
design and simulation of the hyperchaotic Chen system and other hyperchaotic systems.
1

365
372


R.
Tuntas
Department of Electronic and Communication Technologies,
University of Yuzuncu Yil, Ercis, Van, 65080, Turkey
Department of Electronic and Communication
Turkey
Expert system
wavelet decomposition
ANFIS
hyperchaotic Chen system
On 1Manifolds and 2Manifolds
2
2
In this work, different types of chaotic 1manifolds which lie on the chaotic spheres or on a torus are introduced.
Some types of retractions of the chaotic spheres affect on the 1chaotic systems, and other types of retractions
occur to the geometric manifold but make the 1chaotic manifold invariant. The existed retractions are discussed
through new proved theorems. Also we construct different types of folding of 1chaotic manifolds which are
homeomorphic to S1and their indicatrixes.
1

373
377


M.
ElGhoul
Permanent Address Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
Permanent Address Department of Mathematics,
Egypt


A.
ElAbed
Department of Mathematics, Faculty of Science, Taibah University, AlMadinah, KSA
Department of Mathematics, Faculty of Science,
Saudi Arabia
Chaotic
manifolds
folding
retraction
geodesics
Effects of viscous dissipation on unsteady mhd free convective flow with thermophoresis past a radiate inclined permeable plate
2
2
An analysis is carried out to investigate the effects of variable chemical reaction, thermophoresis, temperaturedependent viscosity and thermal radiation on an unsteady MHD free convective heat and mass transfer flow of a viscous, incompressible, electrically conducting fluid past an impulsively started infinite inclined porous plate by taking into account the viscous dissipation effects. The governing nonlinear partial differential equations are transformed into a system of ordinary differential equations, which are solved numerically by using implicit finite difference scheme with shooting method. Numerical results for the nondimensional velocity, temperature and concentration profiles as well as the local skinfriction coefficient, the local Nusselt number and the local Stanton number are presented for different physical parameters. The results show that variable viscosity significantly increases viscous drag and rate of heat transfer. The results also show that higher order chemical reaction induces the concentration of the particles for a destructive reaction and reduces for a generative reaction.
1

379
388


G.
Deepa
Department of Mathematics, C.B.I.T. University, Hyderabad, India
Department of Mathematics, C.B.I.T. University,
India


G.
Murali
Department of Mathematics, G.I.T.A.M. University, Hyderabad, India
Department of Mathematics, G.I.T.A.M. University,
India
Variable viscosity
chemical reaction
thermophoresis
MHD
Thermal radiation
finite difference scheme
viscous dissipation