2012
2
3
3
0
UNSTEADY CONVECTIVE DIFFUSION IN A HERSCHEL–BULKLEY FLUID IN A CONDUIT WITH INTERPHASE MASS TRANSFER
2
2
The combined effect of nonNewtonian rheology and irreversible boundary reaction on dispersion in a HerschelBulkley fluid through a conduit (pipe/channel) is studied by using generalized dispersion model. The study explains the development of dispersive transport following the injection of a tracer in terms of three effective transport coefficients namely exchange, convective and dispersion coefficients. It is found that the exchange coefficient does not depend on yield stress and power law index but the convective and dispersion coefficients depend on yield stress and power law index.
1

159
179


G.
Sarojamma
Department of Applied Mathematics, Sri Padmavati Mahila Visvavidyalayam, Tirupati, A.P., India
India
Department of Applied Mathematics, Sri Padmavati
Iran


B.
Ramana
Dept. of Applied Mathematics Sri Padmavati Mahila Visvavisyalayam Tirupati  517502 Andhra Pradesh INDIA
India
Dept. of Applied Mathematics Sri Padmavati
Iran
Generalized Dispersion model
Non Newtonian fluid
power index
AN ANALYTICAL SOLUTION FOR DIFFUSION AND NONLINEAR UPTAKE OF OXYGEN IN THE RETINA
2
2
A simple mathematical model of steady state oxygen distribution subject to diffusive transport and non linear uptake in a retinal cylinder has been developed. The approximate analytical solution to a reaction diffusion equation are obtained by using series expansions. The computational results for the scaled variables are presented through graphs. The effect of the important parameters (1) diffusion coefficient (2) metabolic rate constant (3) retinal capillary concentration are examined and discussed.
1

181
188


Deepti
Seth
Iran
Oxygen diffusion
MichaelisMenten Kinetics
Taylor series
APPLICATION OF THE SINGULAR BOUNDARY VALUE PROBLEM FOR INVESTIGATION OF PISTON DYNAMICS UNDER POLYTROPIC EXPANSION PROCESS
2
2
In this paper a mathematical simulation of a simplified internal combustion engine is presented. To contribute engine kinematics and its geometry, simple relations are derived for constrained motions. The equation of motion for the piston forms a singular boundary value problem. The uniqueness of the solution was studied in the Banach space. For solving governing equations an iterative numerical algorithm was used and the numerical method has shown very fast convergency. With this simulation the thermodynamics of expansion process is coupled with piston dynamics. Simulating an engine working at constant torque and polytropic expansions has shown high frequency piston vibration under certain conditions.
1

189
197


B.
Mehri
Iran, Islamic Republic of
Iran, Islamic Republic of
Iran


A.
Zahedi Nejad
Iran, Islamic Republic of
Iran, Islamic Republic of
Iran
Banach space
internal combustion engine
polytropic expansion
singular boundary value problem
MAXIMAL ALLOCATED BENEFIT AND MINIMAL ALLOCATED COST AND ITS APPLICATION
2
2
In this paper, we investigate the problems of consensusmaking among institution in stock exchange with multiple criteria for evaluating performance when the players (institutions) are supposed to be egoistic and the score for each criterion for a player is supposed to be a positive score. Each player sticks to his superiority regarding the criteria. This paper introduces the models for computing minimal cost ratio and the maximal benefit for institutions.
1

199
210


M.
Mansouri Kaleibar
Young Researchers Club, Tabriz Branch, Islamic Azad University, Tabriz, Iran
Iran, Islamic Republic of
Young Researchers Club, Tabriz Branch, Islamic
Iran


S.
Daneshvar
Iran
Cooperative Game
DEA
Game Theory
stock exchange
Weight selection
APPROXIMATION OF 3DPARAMETRIC FUNCTIONS BY BICUBIC BSPLINE FUNCTIONS
2
2
In this paper we propose a method to approximate a parametric 3
Dfunction by bicubic Bspline functions
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211
220


M.
Amirfakhrian
Islamic Azad University, Central Tehran Branch
Islamic Azad University, Central Tehran Branch
Iran
Bicubic functions
parametric functions
Bsplines
AN APPLICATION OF TRAJECTORIES AMBIGUITY IN TWOSTATE MARKOV CHAIN
2
2
In this paper, the ambiguity of nite state irreducible Markov chain trajectories is reminded and is obtained for two state Markov chain. I give an applicable example of this concept in President election
1

221
229


M.
Khodabin
Iran
Markov chain
Shannon's entropy
Shannon's entropy rate
Stationary
ABS METHOD FOR SOLVING FUZZY SYLVESTER MATRIX EQUATION
2
2
The main aim of this paper intends to discuss the solution of fuzzy Sylvester matrix equation
1

231
237


M. A.
Fariborzi Araghi
Islamic Azad University, Central Tehran Branch, Iran
Department of Mathematics
Islamic Azad University, Central Tehran Branch,
Iran


M.
Hosseinzadeh
Iran, Islamic Republic of
Iran, Islamic Republic of
Iran
Fuzzy Sylvester matrix equation
fuzzy number
ABS algorithm
Huang algorithm
APPLICATION OF THE SINC APPROXIMATION TO THE SOLUTION OF BRATU'S PROBLEM
2
2
In this work, we study the performance of the sincCollocation method for solving Bratu's problem. For different choices of step size, we consider the maximum absolute errors in the solutions at sinc grid points and tabulated in tables. The comparison of the obtained results veri ed that this method converges to the exact solution rapidly and with
1

239
246


J.
Rashidinia
Department of Mathematics, Islamic Azad University,Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics, Islamic Azad University
Iran


N.
Taher
Iran, Islamic Republic of
Iran, Islamic Republic of
Iran
Sinc function
SincCollocation
SincGalerkin
Boundary value problems
LiouvilleBratuGelfand problem