Combined effect of suspended particles and rotation on thermosolutal convection in a viscoelastic fluid saturating a Darcy-Brinkman porous medium
G. C.
Rana
Department of Mathematics, NSCBM Govt. P. G. College, Hamirpur-177 005, Himachal Pradesh
author
R. C.
Thakur
Department of Mathematics, Govt. P. G. College, Dhaliara, Kangra-177 103, Himachal Pradesh, India
author
text
article
2013
eng
In this paper, the combined effect of suspended (fine dust) particles and rotation on the onset of thermosolutal convection in an elastico-viscous fluid in a porous medium is studied. For the porous medium, the Brinkman model is employed and Rivlin-Ericksen model is used to characterize viscoelastic fluid. By applying normal mode analysis method, the dispersion relation has been derived and solved analytically. It is observed that the rotation, stable solute gradient, suspended particles, gravity field and viscoelasticity introduce oscillatory modes. For stationary convection, it is observed that the rotation, stable solute gradient have a stabilizing effect and suspended particles have a destabilizing effect on the system whereas Darcy number and medium permeability have stabilizing/destabilizing effects under certain conditions. The effects of rotation, stable solute gradient, suspended particles, Darcy number and medium permeability have also been shown graphically.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
37
v.
3.1
no.
2013
319
325
http://ijsts.shirazu.ac.ir/article_1630_6ad4ef4ca441fd758f0ca9b39f9312d5.pdf
dx.doi.org/10.22099/ijsts.2013.1630
Approximation of stochastic advection-diffusion equation
using compact finite difference technique
M.
Bishehniasar
Department of Mathematics, University of Sistan and Baluchestan Zahedan, Iran
author
A. R.
Soheili
The Center of Excellence on Modeling and Control Systems,
Department of applied Mathematics, School of Mathematical science,
Ferdowsi University of Mashhad, Mashhad
author
text
article
2013
eng
In this paper, we propose a new method for solving the stochastic advection-diffusion equation of Ito type. In this work, we use a compact finite difference approximation for discretizing spatial derivatives of the mentioned equation and semi-implicit Milstein scheme for the resulting linear stochastic system of differential equation. The main purpose of this paper is the stability investigation of the applied method. Finally, some numerical examples are provided to show the accuracy and efficiency of the proposed technique.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
37
v.
3.1
no.
2013
327
333
http://ijsts.shirazu.ac.ir/article_1631_22e92753f3dad7596b3b82cbc3100358.pdf
dx.doi.org/10.22099/ijsts.2013.1631
Bayesian and non-bayesian estimation of stress–strength
model for Pareto type I distribution
A. I.
Shawky
Department of Statistics, Faculty of Sciences, King Abdulaziz University,
P.O. Box 80203, Jeddah 21589
author
F. H.
Al-Gashgari
Department of Statistics, Faculty of Sciences for Girls, King Abdulaziz University,
P.O. Box 53873, Jeddah 21593, Saudi Arabia
author
text
article
2013
eng
This article examines statistical inference for where and are independent but not identically distributed Pareto of the first kind (Pareto (I)) random variables with same scale parameter but different shape parameters. The Maximum likelihood, uniformly minimum variance unbiased and Bayes estimators with Gamma prior are used for this purpose. Simulation studies which compare the estimators are presented. Moreover, sensitivity of Bayes estimator to the prior parameters is considered.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
37
v.
3.1
no.
2013
335
342
http://ijsts.shirazu.ac.ir/article_1632_bc2d251569304a0afdc39c565a46af4b.pdf
dx.doi.org/10.22099/ijsts.2013.1632
On BC-generalized Landsberg Finsler metrics
M.
Zamanzadeh
Bijar Branch, Islamic Azad University Bijar
author
B.
Najafi
Department of Mathematics, Faculty of Science, Shahed University of Tehran, Tehran, Iran
author
text
article
2013
eng
Equality of -curvatures of the Berwald and Cartan connections leads to a new class of Finsler metrics, so-called BC-generalized Landsberg metrics. Here, we prove that every BC-generalized Landsberg metric of scalar flag curvature with dimension greater than two is of constant flag curvature.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
37
v.
3.1
no.
2013
343
347
http://ijsts.shirazu.ac.ir/article_1633_c8dcd51ee11af2c9a5cef5d64ae37a05.pdf
dx.doi.org/10.22099/ijsts.2013.1633
A preemptive restarting approach to beating the
inherent instability of Lanczos-type algorithms
M.
Farooq
Department of Mathematics, University of Peshawar, 25120, Khyber Pakhtunkhwa
author
A.
Salhi
Department of Mathematical Sciences, University of Essex, Wivenhoe Park, Colchester, CO4 3SQ, UK
author
text
article
2013
eng
Lanczos-type algorithms are well known for their inherent instability. They typically breakdown occurs when relevant orthogonal polynomials do not exist. Current approaches to curing breakdown rely on jumping over the non-existent polynomials to resume computation. This may have to be used many times during the solution process. We suggest an alternative to jumping, which consists of restarting the algorithms that fail. Three different strategies can be taken: (ST1) Restarting following breakdown of the algorithm in use; (ST2) pre-emptive restarting after a fixed number of iterations; (ST3) restarting when near breakdown is detected through monitoring. We describe a restarting framework with a generic algorithm that invokes one or the other of the three strategies suggested. Four of the most prominent recently developed Lanczos-type algorithms namely, and will be presented and then deployed in the restarting framework. However, we will only report on results obtained with strategy ST2 as it is the only viable one at the moment.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
37
v.
3.1
no.
2013
349
358
http://ijsts.shirazu.ac.ir/article_1634_6f943b0d0733d9fee2c5c1cae69b892c.pdf
dx.doi.org/10.22099/ijsts.2013.1634
Symplectic Hodge theory, harmonicity, and Thom duality
M.
Bahramgiri
Graduate School of Management and Economics Sharif University of Technology
author
text
article
2013
eng
We study the notion of harmonicity in the sense of symplectic geometry, and investigate the geometric properties of harmonic Thom forms and distributional Thom currents, dual to different types of submanifolds. We show that the harmonic Thom form associated to a symplectic submanifold is nowhere vanishing. We also construct symplectic smoothing operators which preserve the harmonicity of distributional currents and using these operators, construct harmonic Thom forms for co-isotropic submanifolds, which unlike the harmonic forms associated with symplectic submanifolds, are supported in an arbitrary tubular neighborhood of the manifold.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
37
v.
3.1
no.
2013
359
363
http://ijsts.shirazu.ac.ir/article_1635_1a20b2d7b1e35b156f03b7bb2f5ad63e.pdf
dx.doi.org/10.22099/ijsts.2013.1635
Some kinds of -fuzzy ideals of ternary semigroups
N.
Rehman
Department of Basic Sciences, Riphah International University, Islamabad, Pakistan
author
M.
Shabir
2Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
author
text
article
2013
eng
Generalizing the concepts of -fuzzy (left, right, lateral) ideals, -fuzzy quasi-ideals and -fuzzy bi (generalized bi-) ideals in ternary semigroups, the notions of -fuzzy (left, right, lateral) ideals, -fuzzy quasi-ideals and -fuzzy bi (generalized bi-) in ternary semigroups are introduced and several related properties are investigated. Some new results are obtained.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
37
v.
3.1
no.
2013
365
378
http://ijsts.shirazu.ac.ir/article_1636_9f7826714c3ad66e4cae9235cc70f2ce.pdf
dx.doi.org/10.22099/ijsts.2013.1636
An optimal control approach for arbitrary order
singularly perturbed boundary value problems
M.
Zarepour
Department of Mathematics, Yazd University, P.O. Box: 89195-741 Yazd, Iran
author
G. B.
Loghmani
Department of Mathematics, Yazd University
author
text
article
2013
eng
The aim of this paper is to introduce a new approach for obtaining the numerical solution of singulary perturbed boundary value problems based on an optimal control technique. In the proposed method, first the mentioned equations are converted to an optimal control problem. Then, control and state variables are approximated by Chebychev series. Therefore, the optimal control problem is reduced to a parametric optimal control problem (POC) subject to algebric constraints. Finally, the obtained POC is solved numerically using an iterative optimization technique. In this method, a new idea is proposed which enables us to apply the new technique for almost all kinds of singularly perturbed boundary value problems. Some numerical examples are solved to highlight the advantages of the proposed technique.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
37
v.
3.1
no.
2013
379
388
http://ijsts.shirazu.ac.ir/article_1637_a9995d56a60e51847fb33cd32294b719.pdf
dx.doi.org/10.22099/ijsts.2013.1637
Boundary layer problem for system of first order of ordinary differential equations with linear non-local boundary conditions
M.
Jahanshahi
Department of Mathematics, Azarbaijan Shahid Madani University, 5375171379, Tabriz
author
A. R.
Sarakhsi
Department of Mathematics, Azarbaijan Shahid Madani University, 5375171379, Tabriz, Iran
author
S.
Asharafi
Department of Mathematics, Azarbaijan Shahid Madani University, 5375171379, Tabriz, Iran
author
N.
Aliev
Department of Mathematics, Baku State University, Baku, Azerbaijan
author
text
article
2013
eng
In this paper we study the boundary layer problems in which boundary conditions are non-local. Here we try to find the necessary conditions by the help of fundamental solution to the given adjoint equation. By getting help from these conditions, at first the boundary condition is changed from non-local to local. The main aim of this paper is to identify the location of the boundary layer. In other words, at which point the boundary layer is formed.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
37
v.
3.1
no.
2013
389
396
http://ijsts.shirazu.ac.ir/article_1638_138c842f9ce699a3b1ca11ff19b5855a.pdf
dx.doi.org/10.22099/ijsts.2013.1638
On generalized I-statistical convergenceof order
E.
Savas
Department of Mathematics, Istanbul Commerce University, Uskudar-Istanbul
author
text
article
2013
eng
The goal of this paper is to generalize the recently introduced summability method and introduce double statistical convergence of order by using ideal. We also investigate certain properties of this convergence.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
37
v.
3.1
no.
2013
397
402
http://ijsts.shirazu.ac.ir/article_1639_5c4780979b216e7f063511e6a922a483.pdf
dx.doi.org/10.22099/ijsts.2013.1639
On characterization of spacelike dual biharmonic curves
in dual Lorentzian Heisenberg group
T.
Korpinar
Department of Mathematics, Mus Alparslan University, 49250, Mus, Turkey
author
E.
Turhan
Department of Mathematics, Firat University, 23119, Elazig, Turkey
author
V.
Asil
3Department of Mathematics, Firat University, 23119, Elazig
author
text
article
2013
eng
In this paper, we study spacelike dual biharmonic curves. We characterize spacelike dual biharmonic curves in terms of their curvature and torsion in the Lorentzian dual Heisenberg group . We give necessary and sufficient conditions for spacelike dual biharmonic curves in the Lorentzian dual Heisenberg group . Therefore, we prove that all spacelike dual biharmonic curves are spacelike dual helix. Moreover, we give their explicit parametrizations of spacelike dual biharmonic curves. Finally, we illustrate our main results in Figs. 1 and 2.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
37
v.
3.1
no.
2013
403
410
http://ijsts.shirazu.ac.ir/article_1640_c99b982ac35eddb02110b1791a7b0378.pdf
dx.doi.org/10.22099/ijsts.2013.1640
Graded prime spectrum of a graded module
N. A.
Ozkiırisci
Department of Mathematics, Faculty of Arts and Science, Yildiz
Technical University, 34210, Esenler, Istanbul
author
K. H.
Oral
Department of Mathematics, Faculty of Arts and Science, Yildiz
Technical University, 34210, Esenler, Istanbul, Turkey
author
U.
Tekir
Department of Mathematics, Faculty of Arts and Science, Marmara University, 34722, Goztepe, Istanbul, Turkey
author
text
article
2013
eng
Let be a graded ring and be a graded -module. We define a topology on graded prime spectrum of the graded -module which is analogous to that for , and investigate several properties of the topology.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
37
v.
3.1
no.
2013
411
420
http://ijsts.shirazu.ac.ir/article_1641_2c038b0eafc3b894e8058709f74ed513.pdf
dx.doi.org/10.22099/ijsts.2013.1641
The multi-step homotopy analysis method: A powerful
scheme for handling non-linear oscillators
M.
Zurigat
Department of Mathematics, Al al-Bayt University, Mafraq, Jordan
author
S.
Al-Shara
Department of Mathematics, Al al-Bayt University, Mafraq, Jordan
author
S.
Momani
Department of Mathematics, University of Jordan, Amman
author
A.
Alawneh
Department of Mathematics, University of Jordan, Amman, Jordan
author
text
article
2013
eng
This paper presents approximate analytical solutions for nonlinear oscillators using the multi-step homotopy analysis method (MSHAM). The proposed scheme is only a simple modification of the homotopy analysis method, in which it is treated as an algorithm in a sequence of small intervals (i.e. time step) for finding accurate approximate solutions to the corresponding problems. Several illustrative examples are given to demonstrate the effectiveness of the present method. Figurative comparisons between the MSHAM and the classical fourth-order Runge-Kutta method (RK4) reveal that this modified method is very effective and convenient.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
37
v.
3.1
no.
2013
421
429
http://ijsts.shirazu.ac.ir/article_1642_70909ef1ebb1fef861842127d76a1c61.pdf
dx.doi.org/10.22099/ijsts.2013.1642
A system of generalized resolvent equations involving
generalized pseudocontractive mapping
R.
Ahmad
Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India
author
M.
Akram
Department of Mathematics, Aligarh Muslim University, Aligarh-202002
author
text
article
2013
eng
Generalized resolvent equations; variational inclusions; algorithm; convergence; generalized pseudocontractive mapping
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
37
v.
3.1
no.
2013
431
438
http://ijsts.shirazu.ac.ir/article_1643_65e5be04ad85dbab8e469418090b76a7.pdf
dx.doi.org/10.22099/ijsts.2013.1643