2018-10-20T06:51:14Z
http://ijm2c.iauctb.ac.ir/?_action=export&rf=summon&issue=112360
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6225
2012
2
3 (SUMMER)
UNSTEADY CONVECTIVE DIFFUSION IN A HERSCHEL–BULKLEY FLUID IN A CONDUIT WITH INTERPHASE MASS TRANSFER
G.
Sarojamma
B.
Ramana
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
2016
06
21
159
179
http://ijm2c.iauctb.ac.ir/article_521797_50c953122ab71d180922476905b16469.pdf
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6225
2012
2
3 (SUMMER)
AN ANALYTICAL SOLUTION FOR DIFFUSION AND NONLINEAR UPTAKE OF OXYGEN IN THE RETINA
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
2016
06
21
181
188
http://ijm2c.iauctb.ac.ir/article_521798_f31168e73a8e1e2fc1bfd5db8f7faa8e.pdf
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6225
2012
2
3 (SUMMER)
APPLICATION OF THE SINGULAR BOUNDARY VALUE PROBLEM FOR INVESTIGATION OF PISTON DYNAMICS UNDER POLYTROPIC EXPANSION PROCESS
B.
Mehri
A.
Zahedi Nejad
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
2016
06
21
189
197
http://ijm2c.iauctb.ac.ir/article_521799_63b3340116e1c8d0626b5847eadac414.pdf
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6225
2012
2
3 (SUMMER)
MAXIMAL ALLOCATED BENEFIT AND MINIMAL ALLOCATED COST AND ITS APPLICATION
M.
Mansouri Kaleibar
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
2016
06
21
199
210
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6225
2012
2
3 (SUMMER)
APPROXIMATION OF 3D-PARAMETRIC FUNCTIONS BY BICUBIC B-SPLINE FUNCTIONS
M.
Amirfakhrian
In this paper we propose a method to approximate a parametric 3
D-function by bicubic B-spline functions
Bicubic functions
parametric functions
B-splines
2016
06
21
211
220
http://ijm2c.iauctb.ac.ir/article_521801_aa4ccacff832beb41839ed90f5486c3f.pdf
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6225
2012
2
3 (SUMMER)
AN APPLICATION OF TRAJECTORIES AMBIGUITY IN TWO-STATE MARKOV CHAIN
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
2016
06
21
221
229
http://ijm2c.iauctb.ac.ir/article_521802_d5fa27c7a22f5a2e0a86e1fc575e7fb3.pdf
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6225
2012
2
3 (SUMMER)
ABS METHOD FOR SOLVING FUZZY SYLVESTER MATRIX EQUATION
M. A.
Fariborzi Araghi
M.
Hosseinzadeh
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
2016
06
21
231
237
http://ijm2c.iauctb.ac.ir/article_521803_413653e56be02e3b653368ce20b0fcc9.pdf
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6225
2012
2
3 (SUMMER)
APPLICATION OF THE SINC APPROXIMATION TO THE SOLUTION OF BRATU'S PROBLEM
J.
Rashidinia
N.
Taher
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
2016
06
21
239
246
http://ijm2c.iauctb.ac.ir/article_521804_c835a08968854eba19ea3223997aaef9.pdf