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All Journal Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam
Imran M.
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Mathematics

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METODE BERTIPE NEWTON UNTUK AKAR GANDA DENGAN KONVERGENSI KUBIK Risvi Ayu Imtihana; Imran M.; Asmara Karma
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

This article discusses a Newton-type method for multiple roots, which is derived using a linear combination of Newton’s method for multiple roots and an iterative method derived based on a quadrature Gauss-type. Analytic studies show that this iterative method has a third order of convergence and for each iteration, it requires function evaluations three times, so that the efficiency index of the method is 1.44225. Furthermore, computational tests show that the method is superior to other mentioned methods, in terms of the number of iterations required to obtain the roots.
PERBAIKAN ATURAN KUADRATUR NEWTON-COTES TERTUTUP Dina Oktavieny; Bustami '; Imran M.
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 1, No 2 (2014): Wisuda Oktober 2014
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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This paper discusses the improvement of closed Newton-Cotes quadrature rules. The idea is based on deriving weights of closed Newton-Cotes quadrature rules having the same length of intervals using degree of accuracy. By including the lower limit of the integral and the width of the interval as the two new additional variables,we obtain weights, the lower limit and the width of the interval used to form the improvement of closed Newton-Cotes quadrature rules. Computational tests using examples show that the accuracy of improvement formula is better than closed Newton-Cotes quadrature rules.
MODIFIKASI METODE HALLEY BERDASARKAN METODE OSADA DAN EULER CHEBYSHEV UNTUK AKAR GANDA Romendiana '; Imran M.; Bustami '
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 1, No 2 (2014): Wisuda Oktober 2014
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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In this article discusses the modification of Halley’s method to solve nonlinear equa-tions having multiple roots. The method is obtained using improvements of the Osada’s method and Euler-Chebyshev’s method. Analytically , we show that this iterative method have third order for a multiple roots. Furthermore, numerical ex-periments show that, the modification of Halley method is superior to Newton’smethod for multiple roots.
MODIFIKASI APROKSIMASI TAYLOR DAN PENERAPANNYA Irpan Riski Munte; Imran M.; Musraini M.
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

We discuss a modified Taylor approximation for functions with periodic behaviour, which is a review of article of Martin et. al published on [Journal of Computational and Applied Mathematics, 130 (2001), 91–97]. This modification is based on the work of Scheifele in obtaining a solution of a perturbed oscillator.
FAMILI BARU METODE ITERASI BERORDE TIGA UNTUK MENEMUKAN AKAR GANDA PERSAMAAN NONLINEAR Nurul Khoiromi; Imran M.; Supriadi Putra
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

In this article, we discuss a new family iterative method derived from a linear combi-nation of Osada’s and Euler-Chebyshev’s for multiple roots. Analytically, it is shown that the method is of order three. Furthermore, by choosing the certain values of the parameter in the new family iterative methods, several well-known methods and new iterative methods are obtained. Numerical comparisons between the proposed iterative methods and well-known methods are carried out by looking at the number of iterations and number of function evaluations.
Co-Authors ', Aziskhan Agusni ' Asmara Karma Ayunda Putri Aziskhan ' Bustami ' Dewi Kusuma Dina Oktavieny Fitria Afri Yanti Helmi Putri Yanti Irpan Riski Munte Julia Murni Mis Mayra Musraini M. Nurul Khoiromi Riris Siagian Risvi Ayu Imtihana Rolan Pane Romendiana ' Sarbaini Sarbaini Sigit Sugiarto Siti Nurjanah Supriadi Putra Yolla Sarwenda Zulkarnain '