Yazar "Pakdemirli, Mehmet" seçeneğine göre listele

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    Application of perturbation-iteration method to Lotka-Volterra equations
    (Elsevier Science Inc, 2016) Aksoy, Yigit; Goktas, Unal; Pakdemirli, Mehmet; Dolapci, Ihsan Timucin
    Perturbation-iteration method is generalized for systems of first order differential equations. Approximate solutions of Lotka-Volterra systems are obtained using the method. Comparisons of our results with each other and with numerical solutions are given. The method is implemented in Mathematica, a major computer algebra system. The package PerturbationIteration.m automatically carries out the tedious calculations of the method. (C) 2016 Faculty of Engineering, Alexandria University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
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    Symbolic computation of the roots of nonlinear algebraic equations using perturbation theory
    (Turgut Ozal Univ, 2012) Ustali, Gurhan; Goktas, Unal; Pakdemirli, Mehmet
    Two algorithms, one for estimating the magnitudes of the roots of a polynomial equation before actually solving it, and one for computing the roots of nonlinear algebraic equations using perturbation theory, are presented. The algorithms are illustrated on an example. The Mathematica package PerturbationIterationFindRootAlgorithman,m carries out all the steps of these algorithms automatically. The package is briefly discussed.