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  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 <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> 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