Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
38
3.1
2014
10
06
Expression and dynamics of the solutions of some rational recursive sequences
295
303
EN
E. M.
Elsayed
Department of Mathematics, Faculty of Science, King Abdulaziz University,
P.O. Box 80203, Jeddah 21589, 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
A. T.
Ali
Department of Mathematics, Faculty of Science, King Abdulaziz University,
P.O. Box 80203, Jeddah 21589, Saudi Arabia
10.22099/ijsts.2014.2426
In this paper we obtain the expression of the solutions of the following recursive sequences
<span style="font-family: Cambria; font-size: xx-small;" lang="JA"><span style="font-family: Cambria; font-size: xx-small;" lang="JA"> </span></span><span style="font-family: Cambria; font-size: xx-small;" lang="JA"><span style="font-family: Cambria; font-size: xx-small;" lang="JA"></span></span>
<span style="font-family: Cambria; font-size: xx-small;" lang="JA"><span style="font-family: Cambria; font-size: xx-small;" lang="JA"></span></span><span style="font-family: Cambria; font-size: xx-small;" lang="JA"><span style="font-family: Cambria; font-size: xx-small;" lang="JA"></span></span><span style="font-family: Cambria; font-size: xx-small;" lang="JA"><span style="font-family: Cambria; font-size: xx-small;" lang="JA"></span></span><span style="font-family: Cambria; font-size: xx-small;" lang="JA"><span style="font-family: Cambria; font-size: xx-small;" lang="JA"></span></span><span style="font-family: Cambria; font-size: xx-small;" lang="JA"><span style="font-family: Cambria; font-size: xx-small;" lang="JA"></span></span>
<span style="font-family: Cambria; font-size: xx-small;" lang="JA"><span style="font-family: Cambria; font-size: xx-small;" lang="JA"></span></span><span style="font-family: Cambria; font-size: xx-small;" lang="JA"><span style="font-family: Cambria; font-size: xx-small;" lang="JA"></span></span><span style="font-family: Cambria; font-size: xx-small;" lang="JA"><span style="font-family: Cambria; font-size: xx-small;" lang="JA"></span></span><span style="font-family: Cambria; font-size: xx-small;" lang="JA"><span style="font-family: Cambria; font-size: xx-small;" lang="JA">1 </span></span><span style="font-family: Cambria; font-size: xx-small;" lang="JA"><span style="font-family: Cambria; font-size: xx-small;" lang="JA"></span></span><span style="font-family: Cambria; font-size: xx-small;" lang="JA"><span style="font-family: Cambria; font-size: xx-small;" lang="JA"></span></span><span style="font-family: Cambria; font-size: xx-small;" lang="JA"><span style="font-family: Cambria; font-size: xx-small;" lang="JA"></span></span><span style="font-family: Cambria; font-size: xx-small;" lang="JA"><span style="font-family: Cambria; font-size: xx-small;" lang="JA"></span></span><span style="font-family: Cambria; font-size: xx-small;" lang="JA"><span style="font-family: Cambria; font-size: xx-small;" lang="JA"></span></span><span style="font-family: Cambria; font-size: xx-small;" lang="JA"><span style="font-family: Cambria; font-size: xx-small;" lang="JA"></span></span>
, 0,1, . . .,
where the initial conditions are arbitrary real numbers. Also, we study the behavior of the solution of these
equations.
Difference equations,recursive sequences,Stability,periodic solution
http://ijsts.shirazu.ac.ir/article_2426.html
http://ijsts.shirazu.ac.ir/article_2426_0faa5736a2ef3853e174b845ee5a9074.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
38
3.1
2014
10
06
The uniqueness theorem for differential pencils with the jump condition in the finite interval
305
309
EN
A.
Neamaty
Department of Mathematics, University of Mazandaran, Babolsar, Iran
Y.
Khalili
Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran
10.22099/ijsts.2014.2427
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
<span style="font-family: Cambria; font-size: xx-small;" lang="JA"><span style="font-family: Cambria; font-size: xx-small;" lang="JA">0,1 </span></span><span style="font-family: Times New Roman; font-size: xx-small;"><span style="font-family: Times New Roman; font-size: xx-small;">when the solutions are not smooth. We establish properties of</span></span>
the spectral characteristics, derive the Weyl function and prove the uniqueness theorem for this inverse problem.
Inverse problem,differential pencil,jump condition,Weyl function
http://ijsts.shirazu.ac.ir/article_2427.html
http://ijsts.shirazu.ac.ir/article_2427_ec3b4a7d8302ba42c54f7a21b711efb2.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
38
3.1
2014
10
06
Primary decomposition in a soft ring and a soft module
311
320
EN
T.
Shah
Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
S.
Medhit
Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
10.22099/ijsts.2014.2428
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.
Primary decomposition,soft Noetherian ring (module),soft primary module,minimal soft prime ideal,soft irreducible ideal
http://ijsts.shirazu.ac.ir/article_2428.html
http://ijsts.shirazu.ac.ir/article_2428_75a7478161a003aab2326d1c209d9fcf.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
38
3.1
2014
10
06
Hidden state estimation in the state space model with first-order autoregressive process noise
321
327
EN
R.
Farnoosh
Department of Applied Mathematics, Faculty of Mathematics, Iran University
of Science and Technology, Narmak, Tehran 16844, Iran
rfarnoosh@iust.ac.ir
A.
Hajrajabi
Department of Applied Mathematics, Faculty of Mathematics, Iran University
of Science and Technology, Narmak, Tehran 16844, Iran
10.22099/ijsts.2014.2429
In this article, the discrete time state space model with first-order 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.
State space model,dependent process noise,estimation of the hidden state,estimation of the error
covariance
http://ijsts.shirazu.ac.ir/article_2429.html
http://ijsts.shirazu.ac.ir/article_2429_91e7175ced00a84a7ee6a2c09d9851c0.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
38
3.1
2014
10
06
Adaptive mesh generation for approximation of traffic flow equations
329
336
EN
A. R.
Soheili
The Center of Excellence on Modelling and Control Systems, Ferdowsi University of Mashhad, Mashhad, Iran
N.
Davoodi
Department of Applied Mathematics, Faculty of Mathematical Sciences,
Ferdowsi University of Mashhad, Mashhad, Iran
10.22099/ijsts.2014.2430
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 non-oscillatory 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.
Traffic flow,characteristic curves,shock speed,moving finite volume method
http://ijsts.shirazu.ac.ir/article_2430.html
http://ijsts.shirazu.ac.ir/article_2430_c57bef8c6fda652d2fa925064ddc3639.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
38
3.1
2014
10
06
On generalized AIP-rings
337
342
EN
M.
Anzani
Department of Mathematics and Computer Science, Shahed University, Tehran, Iran
H.
Haj Seyyed Javadi
Department of Mathematics and Computer Science, Shahed University, Tehran, Iran
10.22099/ijsts.2014.2431
In this paper, we introduce the concept of the
<em><span style="font-family: TimesNewRoman,Italic; font-size: xx-small;"><span style="font-family: TimesNewRoman,Italic; font-size: xx-small;">generalized AIP-rings </span></span></em><span style="font-family: TimesNewRoman; font-size: xx-small;"><span style="font-family: TimesNewRoman; font-size: xx-small;">as a generalization of the </span></span><em><span style="font-family: TimesNewRoman,Italic; font-size: xx-small;"><span style="font-family: TimesNewRoman,Italic; font-size: xx-small;">generalized quasi-</span></span></em>
Baer rings
<span style="font-family: TimesNewRoman; font-size: xx-small;"><span style="font-family: TimesNewRoman; font-size: xx-small;">and </span></span><em><span style="font-family: TimesNewRoman,Italic; font-size: xx-small;"><span style="font-family: TimesNewRoman,Italic; font-size: xx-small;">generalized p.p.-rings</span></span></em><span style="font-family: TimesNewRoman; font-size: xx-small;"><span style="font-family: TimesNewRoman; font-size: xx-small;">. We show that the class of the generalized AIP-rings is closed under direct</span></span>
products and Morita invariance. We also characterize the 2-by-2 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.
Baer rings,quasi-Baer rings,p.p.-rings,annihilators,idempotent,s-unital ideal
http://ijsts.shirazu.ac.ir/article_2431.html
http://ijsts.shirazu.ac.ir/article_2431_b70a4ae8b1f1ef300c2a18358868247a.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
38
3.1
2014
10
06
The axisymmetric bifurcation analysis of an elastic cylindrical shell subjected to external pressure and axial loading
343
348
EN
M.
Sanjaranipour
Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
A.
Irandegani
Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
10.22099/ijsts.2014.2432
In this paper, the deformation of a thick-walled circular cylindrical shell of incompressible isotropic elastic
material is considered. The shell, which is made of Three-Term 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. Adams-Moulton
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.
Compound matrix method,Adams-Moulton method,eigenvalues,axisymmetric bifurcation
http://ijsts.shirazu.ac.ir/article_2432.html
http://ijsts.shirazu.ac.ir/article_2432_a0e85c47b16bd83821a243d1f7592b3f.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
38
3.1
2014
10
06
Statistical properties of the square map
349
353
EN
S. M.
Dehnavi
Faculty of Mathematical and Computer Sciences, Kharazmi University,Tehran, Islamic Republic of Iran
std_dehnavism@khu.ac.ir
A.
Mahmoodi Rishakani
Faculty of Sciences, Shahid Rajaee Teacher Training University, Tehran, Islamic Republic of Iran
M. R.
Mirzaee Shamsabad
Faculty of Mathematics and Computer Science, Shahid Bahonar University, Kerman, Islamic Republic of Iran
E.
Pasha
Faculty of Mathematical and Computer Sciences, Kharazmi University,Tehran, Islamic Republic of Iran
10.22099/ijsts.2014.2433
The square map is one of the functions used in cryptography. For instance, the square map is used in Rabin <br />encryption scheme, block cipher RC6 and stream cipher Rabbit, in different forms. In this paper, we study <br />statistical properties of the output of the square map as a vectorial Boolean function. We obtain the joint <br />probability distribution of arbitrary number of the upper and the lower bits of the output of square map along with <br />the asymptotic probability distribution of the upper bits of its output. Based upon a measure for evaluating the <br />imbalance of maps, we study the imbalance of limit distribution of the restriction of square map to its upper bits. <br />Last, we introduce the square root map and examine this map as a vectorial Boolean function; we compute <br />probability distribution of the component Boolean functions of this new map and also obtain the imbalance of the <br />square root map.
Square Map,square root map,vectorial boolean function,component boolean function,asymptotic
probability distribution
http://ijsts.shirazu.ac.ir/article_2433.html
http://ijsts.shirazu.ac.ir/article_2433_71d8f65c0c8cac7bf07a3d1a3ceab1f9.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
38
3.1
2014
10
06
Classification of bounded travelling wave solutions of the generalized Zakharov equation
355
364
EN
H. R. Z.
Zangeneh
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran, 84156-83111
R.
Kazemi
Department of Mathematical Sciences, University of Kashan, Ravand Road, Kashan, Iran, 87317-53153
M.
Mosaddeghi
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran, 84156-83111
10.22099/ijsts.2014.2434
By using bifurcation theory of planar ordinary differential equations all different bounded travelling wave <br />solutions of the Generalized Zakharov equation are classified in different parametric regions . In each of these <br />parametric regions the exact explicit parametric representation of all solitary , kink (anti kink) and periodic wave <br />solutions as well as their numerical simulation and their corresponding phase portraits are obtained .
Generalized Zakharov equation,travelling wave solutions,Bifurcation Theory
http://ijsts.shirazu.ac.ir/article_2434.html
http://ijsts.shirazu.ac.ir/article_2434_a2c8eaa2a27dc2aca5328bf9b2b23098.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
38
3.1
2014
10
06
The modelling and analysis of nonlinear systems using a new expert system approach
365
372
EN
R.
Tuntas
Department of Electronic and Communication Technologies,
University of Yuzuncu Yil, Ercis, Van, 65080, Turkey
10.22099/ijsts.2014.2435
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 Neuro-Fuzzy 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.
Expert system,wavelet decomposition,ANFIS,hyperchaotic Chen system
http://ijsts.shirazu.ac.ir/article_2435.html
http://ijsts.shirazu.ac.ir/article_2435_eacbb054dd9e5d5e22db03cb0d490124.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
38
3.1
2014
10
06
On 1-Manifolds and 2-Manifolds
373
377
EN
M.
El-Ghoul
Permanent Address Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
A.
El-Abed
Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah, KSA
10.22099/ijsts.2014.2436
In this work, different types of chaotic 1-manifolds which lie on the chaotic spheres or on a torus are introduced.
Some types of retractions of the chaotic spheres affect on the 1-chaotic systems, and other types of retractions
occur to the geometric manifold but make the 1-chaotic manifold invariant. The existed retractions are discussed
through new proved theorems. Also we construct different types of folding of 1-chaotic manifolds which are
homeomorphic to S1and their indicatrixes.
Chaotic,manifolds,folding,retraction,geodesics
http://ijsts.shirazu.ac.ir/article_2436.html
http://ijsts.shirazu.ac.ir/article_2436_bfa2d3bb69ed98bff0b5a8af4c1a24e9.pdf
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
38
3.1
2014
10
06
Effects of viscous dissipation on unsteady mhd free convective flow with thermophoresis past a radiate inclined permeable plate
379
388
EN
G.
Deepa
Department of Mathematics, C.B.I.T. University, Hyderabad, India
G.
Murali
Department of Mathematics, G.I.T.A.M. University, Hyderabad, India
10.22099/ijsts.2014.2437
An analysis is carried out to investigate the effects of variable chemical reaction, thermophoresis, temperaturedependent <br />viscosity and thermal radiation on an unsteady MHD free convective heat and mass transfer flow of a <br />viscous, incompressible, electrically conducting fluid past an impulsively started infinite inclined porous plate by <br />taking into account the viscous dissipation effects. The governing nonlinear partial differential equations are <br />transformed into a system of ordinary differential equations, which are solved numerically by using implicit finite <br />difference scheme with shooting method. Numerical results for the non-dimensional velocity, temperature and <br />concentration profiles as well as the local skin-friction coefficient, the local Nusselt number and the local Stanton <br />number are presented for different physical parameters. The results show that variable viscosity significantly <br />increases viscous drag and rate of heat transfer. The results also show that higher order chemical reaction induces <br />the concentration of the particles for a destructive reaction and reduces for a generative reaction.
Variable viscosity,chemical reaction,thermophoresis,MHD,Thermal radiation,finite difference
scheme,viscous dissipation
http://ijsts.shirazu.ac.ir/article_2437.html
http://ijsts.shirazu.ac.ir/article_2437_8ffb71adf49387ebf4cd7d43d23788a1.pdf