Current Issue : October - December Volume : 2013 Issue Number : 4 Articles : 7 Articles
In this paper we intend to offer new numerical methods to solve the fuzzy\r\nFredholm- Volterra integral equations of the first kind (FV FIE - 1) base on collocation\r\nand Galerkin methods. Some examples are investigated to verify convergence results and to illustrate the efficiently of the methods....
In this work, the Blasius equation is studied. Homotopy perturbation method\r\n(HPM) and homotopy analysis method (HAM) are applied to obtain its solution. Comparison\r\nwith variational iteration method (VIM) is made to highlight the significant features of\r\nemployed methods and their capability of handling nonlinear problems. The outcome shows\r\nthe success of (HPM) and (HAM) for solving nonlinear problems arising in fluid mechanics....
We develope a numerical method based on B-spline collocation method to solve\r\nlinear Klein-Gordon equation. The proposed scheme is unconditionally stable. The results of\r\nnumerical experiments have been compared with the exact solution to show the efficiency\r\nof the method computationally. Easy and economical implementation is the strength of this\r\napproach....
IRTmodels are widely used but often rely on distributional assumptions about the latent variable. For a simple class of IRTmodels,\r\nthe Rasch models, conditional inference is feasible. This enables consistent estimation of item parameters without reference to the\r\ndistribution of the latent variable in the population. Traditionally, specialized software has been needed for this, but conditional\r\nmaximum likelihood estimation can be done using standard software for fitting generalized linear models. This paper describes an\r\nSAS macro %rasch cml that fits polytomous Rasch models. The macro estimates item parameters using conditional maximum\r\nlikelihood (CML) estimation and person locations using maximum likelihood estimator (MLE) and Warm�s weighted likelihood\r\nestimation (WLE). Graphical presentations are included: plots of item characteristic curves (ICCs), and a graphical goodness-offit-\r\ntest is also produced....
In this paper VHDL implementation of complex number multiplier using ancient Vedic mathematics and conventional modified Booth algorithm is presented and compared. The idea for designing the multiplier unit is adopted from ancient Indian mathematics "Vedas". The Urdhva Tiryakbhyam sutra (method) was selected for implementation since it is applicable to all cases of multiplication. Multiplication using Urdhva Tiryakbhyam sutra is performed by vertically and crosswise. The feature of this method is any multi-bit multiplication can be reduced down to single bit multiplication and addition. On account of these formulas, the partial products and sums are generated in one step which reduces the carry propagation from LSB to MSB. The implementation of the Vedic mathematics and their application to the complex multiplier ensure substantial reduction of propagation delay. The simulation results for 4 bit multiplication using Booth’s algorithm and using Vedic sutra are illustrated....
Mobile sensor networks rely heavily on inter-sensor connectivity for collection of\r\ndata. Nodes in these networks monitor different regions of an area of interest and collectively\r\npresent a global overview of some monitored activities or phenomena. A failure of a sensor\r\nleads to loss of connectivity and may cause partitioning of the network into disjoint segments.\r\nA number of approaches have been recently proposed that pursue node relocation in order\r\nto restore connectivity. DCR is a distributed partitioning detection and connectivity restoration\r\nalgorithm to tolerate the failure of sensors. DCR proactively identifies sensors that are\r\ncritical to the network connectivity based on local topological information, and designates\r\nappropriate, preferably non-critical, backup nodes. Upon failure detection, the backup sensor\r\ninitiates a recovery process that may involve coordinated relocation of multiple sensors. Here\r\nwe proposed Energy aware Distributed partitioning detection and connectivity restoration algorithm\r\n(EDCR) that is an improvement of DCR algorithm. Therefore reducing the message\r\nexchange overhead, lower energy consumption, and thus will increase the network lifetime....
Integrating various suppliers to satisfy market demand is of great importance\r\nfor effective supply chain management. In this paper, we consider the ODE-PDE model of\r\nsupply chain and apply a classical explicit fourth-order Runge-Kutta scheme for the related\r\nODE model of suppliers. Also, the convergence of the proposed method is proved. Finally\r\na numerical example is studied to demonstrate the accuracy of the proposed method with\r\ndifferent choices of time and space meshes....
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