eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2014-03-21
4
1 (WINTER)
1
15
521845
EFFECTS OF MAGNETIC FIELD ON THE RED CELL ON NUTRITIONAL TRANSPORT IN CAPILLARY-TISSUE EXCHANGE SYSTEM
Nirmala P Ratchagar
1
Vijaya Kumar
2
India Professor Department of Mathematics Annamalai University Chidambaram Tamilnadu India
Assistant Professor Mathematics Section FEAT Annamalai University Chidambaram Tamilnadu India
A mathematical model for nutritional transport in capillary tissues exchange system in thepresence of magnetic field has been studied. In this case, the cell is deformed. Due to concentrationgradients, the dissolved nutrient in substrate diffuses into surrounding tissue. Theanalytical method is based on perturbation technique while the numerical simulation is basedon finite difference scheme. Results concerning the concentration of dissolved nutrients, diffusiveflux, normal component of velocity and skin friction coefficient, indicate that the presenceof magnetic field influences the flow field considerably.
http://ijm2c.iauctb.ac.ir/article_521845_32491d866cf698c454a190043776c94c.pdf
Capillary-Tissue Exchange
Magnetic field
Slip velocity
nutrients
Diffusive Flux
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2014-03-21
4
1 (WINTER)
17
23
521846
(DELTA,GAMMA, 2)-BESSEL LIPSCHITZ FUNCTIONS IN THE SPACE L_{2,ALPHA}(R+)
Elhamma Mohamed
1
Radouan Daher
2
Morocco
Morocco
Using a generalized translation operator, we obtain a generalization of Theorem 5 in [4] for the Bessel transform for functions satisfying the (delta;gamma ; 2)-BesselLipschitz condition in L_{2;alpha}(R+).
http://ijm2c.iauctb.ac.ir/article_521846_b14805113b1478f79f37a516031dded3.pdf
Bessel operator
Bessel transform
generalized translation operator
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2014-03-21
4
1 (WINTER)
25
36
521847
NUMERICAL SOLUTIONS OF SECOND ORDER BOUNDARY VALUE PROBLEM BY USING HYPERBOLIC UNIFORM B-SPLINES OF ORDER 4
Abdellah Lamnii
1
Faculty of Science and Technology, University Hassan first, Settat, Morocco Morocco
In this paper, using the hyperbolic uniform spline of order 4 we develop the classes of methods for the numerical solution of second order boundary value problems (2VBP) with Dirichlet, Neumann and Cauchy types boundary conditions. The second derivativeis approximated by the three-point central difference scheme. The approximate results, obtained by the proposed method, confirm theconvergence of numerical solutions. Numerical results are given to illustrate the efficiency of our methods.
http://ijm2c.iauctb.ac.ir/article_521847_45a7c9532fe79eb0f3649c9d791c59aa.pdf
Boundary value problem
Interpolation
hyperbolic uniform spline
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2014-03-21
4
1 (WINTER)
37
44
521848
SOLVING SINGULAR ODES IN UNBOUNDED DOMAINS WITH SINC-COLLOCATION METHOD
H. Pourbashash
1
H. Kheiri
2
J. Akbarfam
3
Faculty of Mathematical Scinces, University of Tabriz, Tabriz, Iran. Iran, Islamic Republic of Faculty of Mathematical Scinces
Faculty of Mathematical Scinces, University of Tabriz, Tabriz, Iran. Iran, Islamic Republic of
Department of Mathematics, University of Florida, Gainesville, FL 32611-8105, USA. United States
Spectral approximations for ODEs in unbounded domains have only received limited attention. In many applicable problems, singular initial value problems arise. In solving these problems, most of numerical methods have difficulties and often could not pass the singular point successfully. In this paper, we apply the sinc-collocation method for solving singular initial value problems. The ability of the sinc-collocation method in overcoming the singular points difficulties makes it an efficient method in dealing with these equations. We use numerical examples to highlight efficiency of sinc-collocation method in problems with singularity in equations.
http://ijm2c.iauctb.ac.ir/article_521848_a67201140145f8814ff55c65a9752cd8.pdf
Sinc-collocation method
Singular
Initial value problem
linear problems
Nonlinear problems
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2014-03-21
4
1 (WINTER)
45
53
521849
SENSITIVITY ANALYSIS OF EFFICIENT AND INEFFICIENT UNITS IN INTEGER-VALUED DATA ENVELOPMENT ANALYSIS
Shokoofeh Banihashemi
1
Ghasem Tohidi
2
Masoud Sanei
3
Faculty of Economics, Allameh Tabatabai University Iran, Islamic Republic of Academic member of Department of Mathematics, Computer and Statistics
Central Branch, Islamic Azad University Iran, Islamic Republic of Academic member Department of Mathematics
Central Branch, Islamic Azad University Iran, Islamic Republic of Academic member Department of Mathematics
One of the issues in Data Envelopment Analysis (DEA) is sensitivity and stability region of the
speci c decision making unit (DMU), included ecient and inecient DMUs. In sensitivity
analysis of ecient DMUs,the largest region should be found namely stability region thatdata variations are only for ecient DMU under evaluation and the data for the remainingDMUs are assumed xed. Also ecient DMU under evaluation remains ecient with thesevariations. In sensitivity analysis of inecient DMU, it can obtain an eciency score whichis de ned by the manager. In traditional DEA we assume that all inputs and outputs are realamounts and consider continuous inputs and outputs. Although,there are some applicationsin which one or more inputs and/or outputs can only take integer quantities. In this paper,we obtain the stability region for ecient DMU and the eciency score of a speci c inecientDMU changes to a de ned eciency score by management, with integer data
http://ijm2c.iauctb.ac.ir/article_521849_a47d6c1d22bd1b3d0bde22e6c575b355.pdf
Data Envelopment Analysis (DEA),sensitivity, Integer Data EnvelopmentAnalysis(IDEA)
stability region
decision making unit
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2014-03-21
4
1 (WINTER)
55
60
521850
A SIXTH ORDER METHOD FOR SOLVING NONLINEAR EQUATIONS
Farshid Mirzaee
1
Afsun Hamzeh
2
Malayer University Iran, Islamic Republic of
Ireland
In this paper, we present a new iterative method with order of convergence eighth for solving nonlinear equations. Periteration this method requires three evaluations of the function and one evaluation of its first derivative. A general error analysis providing the eighth order of convergence is given. Several numerical examples are given to illustrate the efficiency and performance of the new method.
http://ijm2c.iauctb.ac.ir/article_521850_72fa099296cc7d1a8dda9a104e596d28.pdf
Iterative method
Nonlinear equations
Convergence
Numerical examples
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2014-03-21
4
1 (WINTER)
61
75
521851
AN ADAPTIVE WAVELET SOLUTION TO GENERALIZED STOKES PROBLEM
Hassan Jamali
1
Ataollah Askari Hemmat
2
Vali-e-Asr University of Rafsanjan Iran, Islamic Republic of
Shahid Bahonar University of Kerman Iran, Islamic Republic of
In this paper we will present an adaptive wavelet scheme to solvethe generalized Stokes problem. Using divergence free wavelets, theproblem is transformed into an equivalent matrix vector system, thatleads to a positive definite system of reduced size for thevelocity. This system is solved iteratively, where the applicationof the infinite stiffness matrix, that is sufficiently compressible,is replaced by an adaptive approximation. Finally we prove that thisadaptive method has optimal computational complexity, that is itrecovers an approximate solution with desired accuracy at acomputational expense that stays proportional to the number of termsin a corresponding wavelet-best N-term approximation.
http://ijm2c.iauctb.ac.ir/article_521851_07d7eb19aed6b575c6b5b8caab6b0bb0.pdf
Wavelet basis
Riesz basis
Adaptive solution
N-term approximation
Galerkin approximation
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2014-03-21
4
1 (WINTER)
77
91
521852
NUMERICAL APPROACH TO SOLVE SINGULAR INTEGRAL EQUATIONS USING BPFS AND TAYLOR SERIES EXPANSION
Ahmad Shahsavaran
1
Akbar Shahsavaran
2
Forough Fotros
3
Iran, Islamic Republic of
Iran, Islamic Republic of
In this paper, we give a numerical approach for approximating the solution of second kind Volterra integral equation
with Logarithmic kernel using Block Pulse Functions (BPFs) and Taylor series expansion. Also, error analysis
shows efficiency and applicability of the presented method. Finally, some numerical examples with exact solution
are given.
http://ijm2c.iauctb.ac.ir/article_521852_a61ac76a2a73fbe1391091a056082cd4.pdf
Second kind Volterra integral equation
Logarithmic kernel
Taylor series expansion
Block Pulse Function
Continuous function
Mean value theorem