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 sometheorems about it. Secondly, the waves P and T which appears in electrocardiograms weretransferred to fuzzy sets, by using denition of entropy for sequences of fuzzy sets, and somenumerical values were obtained for sequences of waves P and T. Thus any person can makea 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 dierentialequations (PDEs) arising in impulsive motion of a flat plate. We also, present Adomaindecomposition method to find the analytic solution of such equations. Efficiency andaccuracy 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