In this paper, we use a numerical method based on B-spline function and collocation method to solve second-order linear hyperbolic telegraph equation. The scheme works in a similar fashion as finite difference methods. The results of numerical experiments are presented, and are compared with analytical solutions to confirm the good accuracy of the presented scheme.

We report a fourth order accurate numerical technique via nonpolynomial spline for singularly perturbed singular two point boundary value problems of the form " ( ) ruε

In this paper, a ZK(m, n, k) equation with generalized evolution and time-dependent coefficients is investigated. Exp-function method combined with F-expansion method are used to determine eight families of exact solutions of exp-function type for this equation. When the parameters are taken as special values, every family of solution can be reduced to some solitary wave solutions and periodic wave solutions. The results presented in this paper improve the previous results.

In this paper we discuss some growth rates of composite entire and meromorphic functions improving some earlier results. AMS Subject Classification (2010): 30D35, 30D30.

Prediction of a stock price movement becomes very difficult problem in finance because of the presence of financial instability and crisis. The time series describing the movement of stock price are complex and non stationary. This paper presents the development of fuzzy wavelet neural networks that combines the advantages of fuzzy systems and wavelet neural networks for prediction of stock prices. The structure of Fuzzy Wavelet Neural Networks (FWNN) is proposed and its learning algorithm is derived. The proposed network is constructed on the base of a set of TSK fuzzy rules that includes a wavelet function in the consequent part of each rules. The proposed FWNN structure is trained with differential evaluation (DE) algorithm. The use of DE allows quickly train the FWNN system than traditional genetic algorithm (GA). FWNN is used for modelling and prediction of stock prices. Stock prices are changed every day and have high-order nonlinearity. The statistical data for the last three years are used for the development of FWNN prediction model. Effectiveness of the proposed system is evaluated with the results obtained from the simulation of FWNN based systems and with the comparative simulation results of other related models.

In this paper, the homotopy perturbation transform method (HPTM) has been applied to obtain the solution of the linear and nonlinear Klein-Gordon equations. The homotopy perturbation transform method is a combined form of the Laplace transform method with the homotopy perturbation method. This scheme finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. The fact that this technique solves nonlinear problems without using Adomian’s polynomials can be considered as a clear advantage of this technique over the decomposition method. The results reveal that the proposed algorithm is very efficient, simple and can be applied to other nonlinear problems. Mathematics Subject Classification: 35C05, 35C10.

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Quality of Service (QoS) has become more widely recognized as an important issue since network applications with real-time requirements have started to spread on a larger scale. Measuring QoS in the internet today is difficult as notions of what constitutes QoS vary. Additionally, service Level Agreements (SLA) between customers and network service providers are often poorly defined. Therefore, all the information needed to infer the network performance must be monitored in order to extract the network QoS parameters: latency, jitter, packet loss and throughput. This paper presents a direct estimation of active one-way delay, throughput, and losses measurements precision compared to the actual user measurements. This evaluation allows us to objectively evaluate the network applications performance for delivering user acceptable quality.

1Department of Mathematics, Alzahra University, Tehran, Iran 2Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-51167, Iran (Received November07, 2011, accepted March 1, 2012) The sinc-collocation method is presented for solving second-order boundary value problems of nonlinear integro-differential equation. The method is effective for approximation in the case of the presenceof end-point singularities. Some properties of the sinc-collocation method required for our subsequent development are given and are utilized to reduce the computation of solution of the second-order boundary value problems of nonlinear integro-differential equation to some algebraic equations. Some numerical results are also given to demonstrate the validity and applicability of the presented technique.