Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2
3 (SUMMER)
2016
06
21
UNSTEADY CONVECTIVE DIFFUSION IN A HERSCHEL–BULKLEY FLUID IN A CONDUIT WITH INTERPHASE MASS TRANSFER
159
179
EN
G.
Sarojamma
Department of Applied Mathematics, Sri Padmavati Mahila Visvavidyalayam, Tirupati, A.P., India
India
B.
Ramana
Dept. of Applied Mathematics Sri Padmavati Mahila Visvavisyalayam Tirupati - 517502 Andhra Pradesh INDIA
India
The combined effect of non-Newtonian rheology and irreversible boundary reaction on dispersion in a Herschel-Bulkley 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.
Generalized Dispersion model,Non Newtonian fluid,power index
http://ijm2c.iauctb.ac.ir/article_521797.html
http://ijm2c.iauctb.ac.ir/article_521797_50c953122ab71d180922476905b16469.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2
3 (SUMMER)
2016
06
21
AN ANALYTICAL SOLUTION FOR DIFFUSION AND NONLINEAR UPTAKE OF OXYGEN IN THE RETINA
181
188
EN
Deepti
Seth
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.
Oxygen diffusion,Michaelis-Menten Kinetics,Taylor series
http://ijm2c.iauctb.ac.ir/article_521798.html
http://ijm2c.iauctb.ac.ir/article_521798_f31168e73a8e1e2fc1bfd5db8f7faa8e.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2
3 (SUMMER)
2016
06
21
APPLICATION OF THE SINGULAR BOUNDARY VALUE PROBLEM FOR INVESTIGATION OF PISTON DYNAMICS UNDER POLYTROPIC EXPANSION PROCESS
189
197
EN
B.
Mehri
Iran, Islamic Republic of
A.
Zahedi Nejad
Iran, Islamic Republic of
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.
Banach space,internal combustion engine,polytropic expansion,singular boundary value problem
http://ijm2c.iauctb.ac.ir/article_521799.html
http://ijm2c.iauctb.ac.ir/article_521799_63b3340116e1c8d0626b5847eadac414.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2
3 (SUMMER)
2016
06
21
MAXIMAL ALLOCATED BENEFIT AND MINIMAL ALLOCATED COST AND ITS APPLICATION
199
210
EN
M.
Mansouri Kaleibar
Young Researchers Club, Tabriz Branch, Islamic Azad University, Tabriz, Iran
Iran, Islamic Republic of
S.
Daneshvar
In this paper, we investigate the problems of consensus-making 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.
Cooperative Game,DEA,Game theory,Stock Exchange,Weight selection
http://ijm2c.iauctb.ac.ir/article_521800.html
http://ijm2c.iauctb.ac.ir/article_521800_d41d8cd98f00b204e9800998ecf8427e.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2
3 (SUMMER)
2016
06
21
APPROXIMATION OF 3D-PARAMETRIC FUNCTIONS BY BICUBIC B-SPLINE FUNCTIONS
211
220
EN
M.
Amirfakhrian
Islamic Azad University, Central Tehran Branch
In this paper we propose a method to approximate a parametric 3
<em>D</em><span>-function by bicubic B-spline functions</span>
Bicubic functions,parametric functions,B-splines
http://ijm2c.iauctb.ac.ir/article_521801.html
http://ijm2c.iauctb.ac.ir/article_521801_aa4ccacff832beb41839ed90f5486c3f.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2
3 (SUMMER)
2016
06
21
AN APPLICATION OF TRAJECTORIES AMBIGUITY IN TWO-STATE MARKOV CHAIN
221
229
EN
M.
Khodabin
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
Markov Chain,Shannon's entropy,Shannon's entropy rate,Stationary
http://ijm2c.iauctb.ac.ir/article_521802.html
http://ijm2c.iauctb.ac.ir/article_521802_d5fa27c7a22f5a2e0a86e1fc575e7fb3.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2
3 (SUMMER)
2016
06
21
ABS METHOD FOR SOLVING FUZZY SYLVESTER MATRIX EQUATION
231
237
EN
M. A.
Fariborzi Araghi
Islamic Azad University, Central Tehran Branch, Iran
Department of Mathematics
M.
Hosseinzadeh
Iran, Islamic Republic of
The main aim of this paper intends to discuss the solution of fuzzy Sylvester matrix equation
Fuzzy Sylvester matrix equation,Fuzzy number,ABS algorithm,Huang algorithm
http://ijm2c.iauctb.ac.ir/article_521803.html
http://ijm2c.iauctb.ac.ir/article_521803_413653e56be02e3b653368ce20b0fcc9.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2
3 (SUMMER)
2016
06
21
APPLICATION OF THE SINC APPROXIMATION TO THE SOLUTION OF BRATU'S PROBLEM
239
246
EN
J.
Rashidinia
Department of Mathematics, Islamic Azad University,Central Tehran Branch, Iran
Iran, Islamic Republic of
N.
Taher
Iran, Islamic Republic of
In this work, we study the performance of the sinc-Collocation 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
Sinc function,Sinc-Collocation,Sinc-Galerkin,Boundary value problems,Liouville-Bratu-Gelfand problem
http://ijm2c.iauctb.ac.ir/article_521804.html
http://ijm2c.iauctb.ac.ir/article_521804_c835a08968854eba19ea3223997aaef9.pdf