Browsing by Subject "Initial conditions"

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    Fast global fuzzy C-means clustering for ECG signal classification; [EKG i̇şaretlerini siniflamak için hizli global bulanik C-ortalama öbekleşme]
    (2010) Koçyiǧit Y.; Kiliç I.
    Fuzzy clustering plays an important role in solving problems in the areas of pattern recognition and fuzzy model identification. The Fuzzy C-Means algorithm is one of widely used algorithms. It is based on optimizing an objective function, being responsive to initial conditions; the algorithm usually leads to local minimum results. Aiming at above problem, the fast global Fuzzy C-Means clustering algorithm (FGFCM) has been proposed, which is an incremental approach to clustering, and does not depend on any initial conditions. The algorithm was applied on ECG signals to classification. ©2010 IEEE.
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    A collocation method using Hermite polynomials for approximate solution of pantograph equations
    (2011) Yalçinbaç S.; Aynigül M.; Sezer M.
    In this paper, a numerical method based on polynomial approximation, using Hermite polynomial basis, to obtain the approximate solution of generalized pantograph equations with variable coefficients is presented. The technique we have used is an improved collocation method. Some numerical examples, which consist of initial conditions, are given to illustrate the reality and efficiency of the method. In addition, some numerical examples are presented to show the properties of the given method; the present method has been compared with other methods and the results are discussed. © 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
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    On the realization of memristor based RC high pass filter
    (IEEE Computer Society, 2013) Sozen H.; Cam U.
    In 1971, Prof. Leon Chua proposed and described memristor which defines the relationship between flux and charge. Stanley Williams and his group realized a practical device that fulfills the memristor properties. In this paper, a memristor based high pass filter is presented. A comparative analysis between resistor and memristor based high pass filters is performed. The cut off frequency dependency of the high pass filter with memristor configuration is investigated. SPICE simulation results which are obtained using a memristor SPICE model with nonlinear dopant drift are included to verify theoretical analyses. The effect of change in the input frequency and initial condition of the length of doped region on the cut off frequency of the given high pass filter is investigated. The memory effect of memristor is represented by simulation results. © 2013 The Chamber of Turkish Electrical Engineers-Bursa.
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    Comparison and successive iteration of approximate solution of ordinary differential equations with initial conditions by the new modified Krasnoselskii iteration method
    (Sharif University of Technology, 2013) Bildik N.; Bakir Y.; Mutlu A.
    In this paper, we used the Picard successive iteration method and the new modified Krasnoselskii iteration method in order to solve different types of ordinary linear differential equations having initial conditions. By applying the new modified Krasnoselskii iteration method, not only do we obtain the approximate solutions for the problem, but also establish the corresponding iterative schemes. Finally, it is shown that the accuracy of the new iteration method (called the new modified Krasnoselskii iteration method) is substantially improved by employing variable steps which adjust themselves to the solution of the differential equation. © 2013 Sharif University of Technology. All rights reserved.
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    Comparison of solutions of systems of delay differential equations using Taylor collocation method, Lambert W function and variational iteration method
    (Sharif University of Technology, 2015) Bildik N.; Deniz S.
    In this paper, solution of systems of delay differential equations, with initial conditions, using numerical methods, including the Taylor collocation method, the Lambert W function and the variational iteration method, is considered. We have endeavored to show the most appropriate method by comparing the solutions of this system of equations with different types of methods. All numerical computations have been performed on the computer algebraic system, Matlab. © 2015 Sharif University of Technology. All rights reserved.