Browsing by Author "Imran, Muhammad"

Now showing 1 - 6 of 6
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    Beberapa Metode Iterasi Dengan Turunan Ketiga Untuk Menyelesaikan Persamaan Nonlinear Beserta Dinamiknya
    (2015-04-16) Zulkarnain; Imran, Muhammad
    Some iterative methods having third-order derivative for solving nonlinear equations are discussed. We compare every iterative method by looking at the basin of attraction for each method.
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    KOMBINASI METODE NEWTON DENGAN METODE SECANT UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR
    (2014-04-12) Putra, Supriadi; Arvina, Defi; Imran, Muhammad
    We discuss a combination of Newton’s method and Secant’s method to solve a nonlinear equation of one variable. The same work has been done by Kasturiarachi A.B. Int. J. Math. Educ. Sci. Technol.33(4), 521-527 (2002). Here we prove the order of convergence of the method for correcting some mistakes in Kasturiarachi’s article while deriving error analysis of the method. Comparison among the discussed methods is also given by considering number of iteration and function evaluation.
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    A MODIFICATION OF UJEVIC METHOD FREE FROM DERIVATIVE
    (2014-05-22) Imran, Muhammad; Karma, A; Putra, S; Agusni
    this paper we discuss a modification of Ujevic method, by approximating a derivative in the method with a central difference, for solving a nonlinear equation. We show that the order of convergence of the proposed method is three. We verify the theoretical results on relevant numerical problems and compare the behavior of the proposed method with Ujevic method
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    MUNGKINKAH MELAKUKAN PERUMUMAN LAIN ATURAN SIMPSON 3/8
    (2014-04-10) Putra, Supriadi; Imran, Muhammad
    Dalam makalah ini akan dijelaskan perumuman aturan Simpson 1/3 yang telah dilakukan oleh Horwitz [4], yaitu dengan menggabungkan penggunaan sekaligus Aturan Trapesium dan Titik Tengah. Memanfaatkan teknik Hortwitz ini, penulis mencoba hanya dengan menggunakan Aturan Trapesium saja sehingga diperoleh perumuman lain dari Metode Simpson 3/8.
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    THIRD ORDER DERIVATIVE FREE ITERATIVE METHOD
    (2014-04-12) Imran, Muhammad; Putra, Supriadi; Karma, Asmara; Agusni
    We propose a modification of Ujevic method for solving a nonlinear equation by introducing two parameters, after aproximating the derivative by a central difference method. We show that the proposed method is of order three. Numerical experiments are in agreement with analytic results. Using some test functions we compare the proposed method with some discussed methods
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    TWO STEP METHOD WITHOUT EMPLOYING DERIVATIVES FOR SOLVING A NONLINEAR EQUATION
    (2014-04-12) Imran, Muhammad; Agusni; Karma, Asmara; Putra, Supriadi
    We discuss an iterative method for finding root of a nonlinear equation employing central differences to avoid derivatives in the method. We show that this two step method is of order three. Numerical simulations show that the method is comparable with others third order methods