Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
4
1 (WINTER)
2014
03
21
EFFECTS OF MAGNETIC FIELD ON THE RED CELL ON NUTRITIONAL TRANSPORT IN CAPILLARY-TISSUE EXCHANGE SYSTEM
1
15
EN
Nirmala
P Ratchagar
India
Professor
Department of Mathematics
Annamalai University
Chidambaram
Tamilnadu
India
Vijaya
Kumar
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.
Capillary-Tissue Exchange,Magnetic field,Slip velocity,nutrients,Diffusive Flux
http://ijm2c.iauctb.ac.ir/article_521845.html
http://ijm2c.iauctb.ac.ir/article_521845_32491d866cf698c454a190043776c94c.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
4
1 (WINTER)
2014
03
21
(DELTA,GAMMA, 2)-BESSEL LIPSCHITZ FUNCTIONS IN THE SPACE L_{2,ALPHA}(R+)
17
23
EN
Elhamma
Mohamed
Morocco
Radouan
Daher
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+).
Bessel operator,Bessel transform,generalized translation operator
http://ijm2c.iauctb.ac.ir/article_521846.html
http://ijm2c.iauctb.ac.ir/article_521846_b14805113b1478f79f37a516031dded3.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
4
1 (WINTER)
2014
03
21
NUMERICAL SOLUTIONS OF SECOND ORDER BOUNDARY VALUE PROBLEM BY USING HYPERBOLIC UNIFORM B-SPLINES OF ORDER 4
25
36
EN
Abdellah
Lamnii
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.
Boundary value problem,interpolation,hyperbolic uniform spline
http://ijm2c.iauctb.ac.ir/article_521847.html
http://ijm2c.iauctb.ac.ir/article_521847_45a7c9532fe79eb0f3649c9d791c59aa.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
4
1 (WINTER)
2014
03
21
SOLVING SINGULAR ODES IN UNBOUNDED DOMAINS WITH SINC-COLLOCATION METHOD
37
44
EN
H.
Pourbashash
Faculty of Mathematical Scinces, University of Tabriz, Tabriz, Iran.
Iran, Islamic Republic of
Faculty of Mathematical Scinces
H.
Kheiri
Faculty of Mathematical Scinces, University of Tabriz, Tabriz, Iran.
Iran, Islamic Republic of
J.
Akbarfam
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.
Sinc-collocation method,Singular,Initial value problem,linear problems,Nonlinear problems
http://ijm2c.iauctb.ac.ir/article_521848.html
http://ijm2c.iauctb.ac.ir/article_521848_a67201140145f8814ff55c65a9752cd8.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
4
1 (WINTER)
2014
03
21
SENSITIVITY ANALYSIS OF EFFICIENT AND INEFFICIENT UNITS IN INTEGER-VALUED DATA ENVELOPMENT ANALYSIS
45
53
EN
Shokoofeh
Banihashemi
Faculty of Economics, Allameh Tabatabai University
Iran, Islamic Republic of
Academic member of
Department of Mathematics, Computer and Statistics
Ghasem
Tohidi
Central Branch, Islamic Azad University
Iran, Islamic Republic of
Academic member
Department of Mathematics
Masoud
Sanei
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
Data Envelopment Analysis (DEA),sensitivity, Integer Data EnvelopmentAnalysis(IDEA),stability region,decision making unit
http://ijm2c.iauctb.ac.ir/article_521849.html
http://ijm2c.iauctb.ac.ir/article_521849_a47d6c1d22bd1b3d0bde22e6c575b355.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
4
1 (WINTER)
2014
03
21
A SIXTH ORDER METHOD FOR SOLVING NONLINEAR EQUATIONS
55
60
EN
Farshid
Mirzaee
Malayer University
Iran, Islamic Republic of
Afsun
Hamzeh
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.
Iterative method,Nonlinear equations,Convergence,Numerical examples
http://ijm2c.iauctb.ac.ir/article_521850.html
http://ijm2c.iauctb.ac.ir/article_521850_72fa099296cc7d1a8dda9a104e596d28.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
4
1 (WINTER)
2014
03
21
AN ADAPTIVE WAVELET SOLUTION TO GENERALIZED STOKES PROBLEM
61
75
EN
Hassan
Jamali
Vali-e-Asr University of Rafsanjan
Iran, Islamic Republic of
Ataollah
Askari Hemmat
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.
Wavelet basis,Riesz basis,Adaptive solution,N-term approximation,Galerkin approximation
http://ijm2c.iauctb.ac.ir/article_521851.html
http://ijm2c.iauctb.ac.ir/article_521851_07d7eb19aed6b575c6b5b8caab6b0bb0.pdf
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
4
1 (WINTER)
2014
03
21
NUMERICAL APPROACH TO SOLVE SINGULAR INTEGRAL EQUATIONS USING BPFS AND TAYLOR SERIES EXPANSION
77
91
EN
Ahmad
Shahsavaran
Iran, Islamic Republic of
Akbar
Shahsavaran
Iran, Islamic Republic of
Forough
Fotros
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.
Second kind Volterra integral equation,Logarithmic kernel,Taylor series expansion,Block Pulse Function,Continuous function,Mean value theorem
http://ijm2c.iauctb.ac.ir/article_521852.html
http://ijm2c.iauctb.ac.ir/article_521852_a61ac76a2a73fbe1391091a056082cd4.pdf