INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION
Year:2016 | Volume:6 | Issue:2|Papers Count:6

The matrix functions appear in several applications in engineering and sciences. The computation of these functions almost involve 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 formulas to the function of block anti diagonal matrices. Moreover, some theorems will be proven and applications will be given.

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.

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 owing 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.

In this paper, we implement numerical solution of differential equations of fractional 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 equations. We evaluate application of present method by solving some numerical examples.

In this paper, firstly we have introduced entropy of sequences of fuzzy sets and given some theorems about it. Secondly, the waves P and T which appear in electrocardiograms were transferred to fuzzy sets, by using definition of entropy for sequences of fuzzy sets, and some numerical values were obtained for sequences of waves P and T. Thus any person can make a medical predictions for some cardiac problems using numerical values.

We present here, a Haar wavelet method for a class of third order partial differential equations (PDEs) arising in impulsive motion of a at plate. we also, present Adomain decomposition method to find the analytic solution of such equations. Efficiency and accuracy have been illustrated by solving numerical examples.