Islamic Azad University, Central tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 2228-6233 6 2 (SPRING) 2016 03 01 ON THE FUNCTION OF BLOCK ANTI DIAGONAL MATRICES AND ITS APPLICATION 105 117 EN A. Sadeghi Department of Mathematics, Islamic Azad University, Robat Karim Branch, Tehran, Iran. The matrix functions appear in several applications in engineering and sciences. The computation of these functions almost involved complicated theory. Thus, improving the concept theoretically seems unavoidable to obtain some new relations and algorithms for evaluating these functions. The aim of this paper is proposing some new reciprocal for the function of block anti diagonal matrices. Moreover, some theorems will be proven and applications will be given. Matrix functions,Block anti diagonal matrix,Central symmetric X-form matrix,Matrix exponential,Matrix differential function http://ijm2c.iauctb.ac.ir/article_523812.html http://ijm2c.iauctb.ac.ir/article_523812_7dbb4eca963733b89fcd5ca77a45f834.pdf
Islamic Azad University, Central tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 2228-6233 6 2 (SPRING) 2016 03 01 ANALYSIS OF A DISCRETE-TIME IMPATIENT CUSTOMER QUEUE WITH BERNOULLI-SCHEDULE VACATION INTERRUPTION 119 128 EN P. Vijaya Laxmi Department of Applied Mathematics, Andhra University, Visakhapatnam 530003, India. K. Jyothsna Department of Applied Mathematics, Andhra University, Visakhapatnam 530003, India. This paper investigates a discrete-time impatient customer queue with Bernoulli-schedule vacation interruption. The  vacation times and the service times during regular busy period and during working vacation period are assumed to follow geometric distribution. We obtain the steady-state probabilities at arbitrary and outside observer's observation epochs using recursive technique. Cost analysis is carried out using particle swarm optimization.  Computational experiences with a variety of numerical results are discussed. discrete-time,balking,Reneging,Bernoulli-schedule vacation interruption,particle swarm optimization http://ijm2c.iauctb.ac.ir/article_523813.html http://ijm2c.iauctb.ac.ir/article_523813_64248b43c7348baa51058be5868c6a6f.pdf
Islamic Azad University, Central tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 2228-6233 6 2 (SPRING) 2016 03 01 STABILITY ANALYSIS FROM FOURTH ORDER NONLINEAR EVOLUTION EQUATIONS FOR TWO CAPILLARY GRAVITY WAVE PACKETS IN THE PRESENCE OF WIND OWING OVER WATER. 129 147 EN J. Mondal Department of Mathematics,Indian Institute of Engineering Science and Technology, P. O. Botanical Garden, Howrah - 711103, West Bengal, India; K. Dhar Department of Mathematics,IIEST, Howrah - 711103, West Bengal, India. Asymptotically exact and nonlocal fourth order nonlinear evolution equations are derived for two coupled fourth order nonlinear evolution equations have been derived in deep water for two capillary-gravity wave packets propagating in the same direction in the presence of wind flowing over water.We have used a general method, based on Zakharov integral equation.On the basis of these evolution equations,the stability analysis is made for a uniform capillary gravity wave train in the presence of another wave train having the same group velocity. Instability condition is obtained and graphs are plotted for maximum growth rate of instability and for wave number at marginal stability against wave steepness for some different values of dimensionless wind velocity. http://ijm2c.iauctb.ac.ir/article_523814.html http://ijm2c.iauctb.ac.ir/article_523814_47ad773fa901cc19564bdd4776a014a8.pdf
Islamic Azad University, Central tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 2228-6233 6 2 (SPRING) 2016 03 01 HYBRID OF RATIONALIZED HAAR FUNCTIONS METHOD FOR SOLVING DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER 149 158 EN Y. Ordokhani Department of Applied Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran. N. Rahimi Department of Applied Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran. Abstract. In this paper, we implement numerical solution of diﬀerential equations of frac- tional order based on hybrid functions consisting of block-pulse function and rationalized Haar functions. For this purpose, the properties of hybrid of rationalized Haar functions are presented. In addition, the operational matrix of the fractional integration is obtained and is utilized to convert computation of fractional diﬀerential equations into some algebraic equa- tions. We evaluate application of present method by solving some numerical examples. Diﬀerential equation,Riemann-Liouville integral,Caputo fractional derivative,Hybrid,Rationalized Haar,Fractional operational matrix http://ijm2c.iauctb.ac.ir/article_523815.html http://ijm2c.iauctb.ac.ir/article_523815_504fcc1c6be6e57116575a1e1f4abce6.pdf
Islamic Azad University, Central tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 2228-6233 6 2 (SPRING) 2016 03 01 THE ENTROPIES OF THE SEQUENCES OF FUZZY SETS AND THE APPLICATIONS OF ENTROPY TO CARDIOGRAPHY 159 173 EN M. şengönül Department of Mathematics, Nev¸sehir HBV University, Nev¸sehir, PO. Code 50100, T¨urkiye; K. Kayaduman Department of Mathematics, G. Antep University, G. Antep, PO. Code 27000, T¨urkiye. Z. Zararsız Department of Mathematics, Nev¸sehir HBV University, Nev¸sehir, PO. Code 50100, T¨urkiye S. Atpınar Department of Mathematics, Nev¸sehir HBV University, Nev¸sehir, PO. Code 50100, T¨urkiye In this paper, rstly we have introduced to entropy of sequences of fuzzy sets and given some<br />theorems about it. Secondly, the waves P and T which appears in electrocardiograms were<br />transferred to fuzzy sets, by using denition of entropy for sequences of fuzzy sets, and some<br />numerical values were obtained for sequences of waves P and T. Thus any person can make<br />a medical predictions for some cardiac problems using to the numerical values. http://ijm2c.iauctb.ac.ir/article_523816.html http://ijm2c.iauctb.ac.ir/article_523816_d1e609e728e823025729d65fc87059b5.pdf
Islamic Azad University, Central tehran Branch International Journal of Mathematical Modelling & Computations 2228-6225 2228-6233 6 2 (SPRING) 2016 03 01 HAAR WAVELET AND ADOMAIN DECOMPOSITION METHOD FOR THIRD ORDER PARTIAL DIFFERENTIAL EQUATIONS ARISING IN IMPULSIVE MOTION OF A AT PLATE 175 188 EN I. Singh Department of Mathematics, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, Punjab-144011, India S. Kumar Department of Mathematics, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, Punjab-144011, India We present here, a Haar wavelet method for a class of third order partial dierential<br />equations (PDEs) arising in impulsive motion of a flat plate. We also, present Adomain<br />decomposition method to find the analytic solution of such equations. Efficiency and<br />accuracy have been illustrated by solving numerical examples. Linear third order partial differential equation,Haar wavelet,Adomain decomposition method,Operational matrix http://ijm2c.iauctb.ac.ir/article_523817.html http://ijm2c.iauctb.ac.ir/article_523817_9d24bdcec06ba9eacd3c58bc981b59d3.pdf