Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622541 (WINTER)20140321EFFECTS OF MAGNETIC FIELD ON THE RED CELL ON NUTRITIONAL TRANSPORT IN CAPILLARY-TISSUE EXCHANGE SYSTEM115521845ENNirmalaP RatchagarIndia
Professor
Department of Mathematics
Annamalai University
Chidambaram
Tamilnadu
IndiaVijayaKumarAssistant Professor
Mathematics Section
FEAT
Annamalai University
Chidambaram
Tamilnadu
IndiaJournal Article20160415A 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.
Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622541 (WINTER)20140321(DELTA,GAMMA, 2)-BESSEL LIPSCHITZ FUNCTIONS IN THE SPACE L_{2,ALPHA}(R+)1723521846ENElhammaMohamedMoroccoRadouanDaherMoroccoJournal Article20160415Using 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+).
Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622541 (WINTER)20140321NUMERICAL SOLUTIONS OF SECOND ORDER BOUNDARY VALUE PROBLEM BY USING HYPERBOLIC UNIFORM B-SPLINES OF ORDER 42536521847ENAbdellahLamniiFaculty of Science and Technology, University Hassan first, Settat, Morocco
MoroccoJournal Article20160415In 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.
Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622541 (WINTER)20140321SOLVING SINGULAR ODES IN UNBOUNDED DOMAINS WITH SINC-COLLOCATION METHOD3744521848ENH.PourbashashFaculty of Mathematical Scinces, University of Tabriz, Tabriz, Iran.
Iran, Islamic Republic of
Faculty of Mathematical ScincesH.KheiriFaculty of Mathematical Scinces, University of Tabriz, Tabriz, Iran.
Iran, Islamic Republic ofJ.AkbarfamDepartment of Mathematics, University of Florida, Gainesville, FL 32611-8105, USA.
United StatesJournal Article20160415Spectral 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.
Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622541 (WINTER)20140321SENSITIVITY ANALYSIS OF EFFICIENT AND INEFFICIENT UNITS IN INTEGER-VALUED DATA ENVELOPMENT ANALYSIS4553521849ENShokoofehBanihashemiFaculty of Economics, Allameh Tabatabai University
Iran, Islamic Republic of
Academic member of
Department of Mathematics, Computer and StatisticsGhasemTohidiCentral Branch, Islamic Azad University
Iran, Islamic Republic of
Academic member
Department of MathematicsMasoudSaneiCentral Branch, Islamic Azad University
Iran, Islamic Republic of
Academic member
Department of MathematicsJournal Article20160415One 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 dataIslamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622541 (WINTER)20140321A SIXTH ORDER METHOD FOR SOLVING NONLINEAR EQUATIONS5560521850ENFarshidMirzaeeMalayer University
Iran, Islamic Republic ofAfsunHamzehIrelandJournal Article20160415In 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.
Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622541 (WINTER)20140321AN ADAPTIVE WAVELET SOLUTION TO GENERALIZED STOKES PROBLEM6175521851ENHassanJamaliVali-e-Asr University of Rafsanjan
Iran, Islamic Republic ofAtaollahAskari HemmatShahid Bahonar University of Kerman
Iran, Islamic Republic ofJournal Article20160415<span>In this paper we will present an adaptive wavelet scheme to solve</span><br /><span>the generalized Stokes problem. Using divergence free wavelets, the</span><br /><span>problem is transformed into an equivalent matrix vector system, that</span><br /><span>leads to a positive definite system of reduced size for the</span><br /><span>velocity. This system is solved iteratively, where the application</span><br /><span>of the infinite stiffness matrix, that is sufficiently compressible,</span><br /><span>is replaced by an adaptive approximation. Finally we prove that this</span><br /><span>adaptive method has optimal computational complexity, that is it</span><br /><span>recovers an approximate solution with desired accuracy at a</span><br /><span>computational expense that stays proportional to the number of terms</span><br /><span>in a corresponding wavelet-best N-term approximation.</span>Islamic Azad University, Central tehran BranchInternational Journal of Mathematical Modelling & Computations2228-622541 (WINTER)20140321NUMERICAL APPROACH TO SOLVE SINGULAR INTEGRAL EQUATIONS USING BPFS AND TAYLOR SERIES EXPANSION7791521852ENAhmadShahsavaranIran, Islamic Republic ofAkbarShahsavaranIran, Islamic Republic ofForoughFotrosJournal Article20160415In 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.