In this paper, we introduce the notion of biorthogonal wavelet packets associated with nonuniform multiresoltion analysis and study their characteristics by means of Fourier transform. Three biorthogonal formulas regarding these wavelet packets are established. Moreover, it is shown how to obtain several new Riesz bases of the space (cid:1838)(cid:2870)(ℝ) by constructing a series of subspaces of these nonuniform wavelet packets.

The conservative domain decomposition procedure for solving the variable coefficient diffusion equation is presented. In this procedure, the fluxes at the interface of subdomains are properly defined, which results in the unconditional stability of the procedure. Numerical results examining the stability, the second- order accuracy of solution values as well as fluxes, and parallelism of the procedure are also presented.

Wireless sensor networks (WSNs), many constraints of nodes. A variety of classical routing algorithms have been developed for data gathering in wireless sensor networks. Sensor extract useful information from environment, this information has to be routed through several intermediate nodes to reach the destination. Information can effectively disseminate to the destination is one of the most important tasks in sensor networks. This paper shows the analysis results of a simulation using ns-2.33 simulator for two classical routing algorithms namely: Flooding and Omniscient. Simulating results shows that the omniscient multicast protocol has good performances in terms of using additional routing metrics remaining energy, routing load and dropped packets, comparison to flooding routing protocol in wireless sensor network.

The prosperity of technology worldwide has made the concerns of security tend to increase rapidly. The enormous usage of internetworking has raised the need of protecting system(s) as well as intrusive activities, several network(s) from countermeasures have been found in literature viz. firewall, antivirus and currently widely preferred Intrusion detection System (IDS). IDS, is a detection mechanism for detecting the intrusive activities hidden among the normal activities. The revolutionary establishment of IDS has attracted analysts to work dedicatedly enabling the system to deal with technological advancements. Hence in this regard, various beneficial schemes and models have been proposed in order to achieve enhanced IDS. This paper proposes a novel hybrid model for intrusion detection. The proposed framework in this paper may be expected as another step towards advancement of IDS. The framework utilizes the crucial data mining classification algorithms beneficial for intrusion detection. The Hybrid framework would henceforth, will lead to effective, adaptive and intelligent intrusion detection.

In this paper, we discuss modified projective synchronization of two identical new hyper-chaotic systems by active non linear control. And the stability results derived in this paper for modified projective synchronization of two identical new hyper-chaotic systems are established using Lyapunov stability. Since the Lyapunov exponents are not required for these calculations, the active nonlinear control method very effective and convenient two achieve modified projective synchronization of two identical new hyper-chaotic systems. Numerical simulations are shown to validate and demonstrate the effectiveness of the Modified projective synchronization schemes derived in this paper.

In this article, We apply Krylov subspace methods in combination of the ADI, BLAGE,... method as a preconditioner for a class of linear systems arising from fourth-order finite difference schemes in = solution of hyperbolic equations subject to appropriate initial and Dirichlet boundary conditions, where α is constant. We show The BLAGE preconditioner is extremely effective in achieving optimal convergence rates for the class of fourth-order difference schemes considered in this paper. Numerical results performed on model problem to confirm the efficiency of our approach.

In this paper, semi-iterative method is applied to find solution of the fully fuzzy linear systems. The convergence of this method is discussed in details. Furthermore, we show that in some situations that the existing methods such as Jacobi, Gauss-Seidel, JOR, SOR and are divergent, our proposed method is applicable. Finally, numerical computations are presented based on a particular linear system, which clearly show the reliability and efficiency of our algorithms

The weighted ordered weighted averaging(WOWA) operator introduced by Torra is an important aggregation technique, which includes the famous weighted averaging(WA) operator and the ordered weighted averaging(OWA) operator as special cases. In this paper, we introduce a new hesitant fuzzy decision making technique called the hesitant fuzzy weighted OWA(HFWOWA) operator. It is an extension of the WOWA operator with the uncertain information represented as hesitant fuzzy numbers.It is shown that many existing hesitant fuzzy aggregation operators are the special cases of our proposed operator. We also study some of its main properties, such as commutativity, monotonicity and boundary.Moreover, an approach is proposed for multiple attribute decision making based on the proposed operator. Finally, an example is given to illustrate the developed method.