eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2016-03-01
6
2 (Spring)
105
117
523812
ON THE FUNCTION OF BLOCK ANTI DIAGONAL MATRICES AND ITS APPLICATION
A. Sadeghi
1
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.
http://ijm2c.iauctb.ac.ir/article_523812_7dbb4eca963733b89fcd5ca77a45f834.pdf
Matrix functions
Block anti diagonal matrix
Central symmetric X-form matrix
Matrix exponential
Matrix differential function
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2016-03-01
6
2 (Spring)
119
128
523813
ANALYSIS OF A DISCRETE-TIME IMPATIENT CUSTOMER QUEUE WITH BERNOULLI-SCHEDULE VACATION INTERRUPTION
P. Vijaya Laxmi
1
K. Jyothsna
2
Department of Applied Mathematics, Andhra University, Visakhapatnam 530003, India.
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.
http://ijm2c.iauctb.ac.ir/article_523813_64248b43c7348baa51058be5868c6a6f.pdf
discrete-time
balking
reneging
Bernoulli-schedule vacation interruption
particle Swarm optimization
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2016-03-01
6
2 (Spring)
129
147
523814
STABILITY ANALYSIS FROM FOURTH ORDER NONLINEAR EVOLUTION EQUATIONS FOR TWO CAPILLARY GRAVITY WAVE PACKETS IN THE PRESENCE OF WIND OWING OVER WATER.
J. Mondal
1
K. Dhar
2
Department of Mathematics,Indian Institute of Engineering Science and Technology, P. O. Botanical Garden, Howrah - 711103, West Bengal, India;
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_47ad773fa901cc19564bdd4776a014a8.pdf
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2016-03-01
6
2 (Spring)
149
158
523815
HYBRID OF RATIONALIZED HAAR FUNCTIONS METHOD FOR SOLVING DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
Y. Ordokhani
1
N. Rahimi
2
Department of Applied Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran.
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.
http://ijm2c.iauctb.ac.ir/article_523815_504fcc1c6be6e57116575a1e1f4abce6.pdf
Diﬀerential equation
Riemann-Liouville integral
Caputo fractional derivative
Hybrid
Rationalized Haar
Fractional operational matrix
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2016-03-01
6
2 (Spring)
159
173
523816
THE ENTROPIES OF THE SEQUENCES OF FUZZY SETS AND THE APPLICATIONS OF ENTROPY TO CARDIOGRAPHY
M. şengönül
1
K. Kayaduman
2
Z. Zararsız
3
S. Atpınar
4
Department of Mathematics, Nev¸sehir HBV University, Nev¸sehir, PO. Code 50100, T¨urkiye;
Department of Mathematics, G. Antep University, G. Antep, PO. Code 27000, T¨urkiye.
Department of Mathematics, Nev¸sehir HBV University, Nev¸sehir, PO. Code 50100, T¨urkiye
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_d1e609e728e823025729d65fc87059b5.pdf
eng
Islamic Azad University, Central tehran Branch
International Journal of Mathematical Modelling & Computations
2228-6225
2228-6233
2016-03-01
6
2 (Spring)
175
188
523817
HAAR WAVELET AND ADOMAIN DECOMPOSITION METHOD FOR THIRD ORDER PARTIAL DIFFERENTIAL EQUATIONS ARISING IN IMPULSIVE MOTION OF A AT PLATE
I. Singh
1
S. Kumar
2
Department of Mathematics, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, Punjab-144011, India
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.
http://ijm2c.iauctb.ac.ir/article_523817_9d24bdcec06ba9eacd3c58bc981b59d3.pdf
Linear third order partial differential equation
Haar wavelet
Adomain decomposition method
Operational matrix