Mathematics

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https://repository.unri.ac.id/handle/123456789/94

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Browsing Mathematics by Author "Agusni"

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    METODE ITERASI BEBAS TURUNAN BERDASARKAN KOMBINASI KOEFISIEN TAK TENTU DAN FORWARD DIFFERENCE UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR
    (2013-06-10) Mahrani; Imran, M.; Agusni
    We discuss an iterative method to solve a nonlinear equation, which is free from derivatives by approximating a derivative in the two-step Newton method by the method of undetermined coefficients and forward difference. We show analytically that the method is of three orde for a simple root. Numerical experiments show that the new method is comparable with other discussed methods.
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    METODE ITERASI OPTIMAL TANPA TURUNAN BERDASARKAN BEDA TERBAGI
    (2014-03-25) Amelia, Riski; Putra, Supriadi; Agusni
    We discuss an iterative method free from derivative based on divided difference for solving nonlinear equation. This iterative method has the convergence of order six and for each iteration it requires four function evaluation, so the efficiency index has 1.565. Further more, the computational tes shows that the discussed method superior, both in the number of function evaluations, as well as the number of iterations needed to get a root
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    MODIFIKASI METODE NEWTON DENGAN KEKONVERGENAN ORDE TIGA
    (2013-03-25) HP, Feby Satrya; Agusni; Musraini
    In this paper is presented a new modification of Newton’s method for solving non-linear equations. Convergence analysis of the new method shows that the method has third-order convergence. The example of the new method computation shows that the new method can compete with Newton method, Newton method with trapezoidal rule, midpoint Newton and Newton method with invers function