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Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam
Published by Universitas Riau
ISSN : -     EISSN : -     DOI : -
Core Subject : Education,
Mathematics
Arjuna Subject : -
Articles 424 Documents
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KESTABILAN POPULASI MODEL LOTKA-VOLTERRA TIGA SPESIES DENGAN TITIK KESETIMBANGAN Monica, Ritania; Deswita, Leli; Pane, Rolan
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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Abstract

This article discusses the stability analysis of the population in Lotka-Volterra model of the three species. The analysis was conducted on the stability of the equilibrium point and the coordinate plane through linear analysis. Furthermore, some numerical examples show that the solutions obtained using the parameter values provide an overview of the development of the three species.
MODEL MATEMATIKA UNTUK MENGUKUR TINGKAT KEBASAHAN PADA SAAT HUJAN TURUN Cristina Anjela Tamba; Leli Deswita; Supriadi Putra
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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Abstract

This article discusses the mathematical models for measuring the degree of wetness caused by rain, which is a review of the Dank Hailman and Bruce Torrents article [Mathematics Magazine, 82: 266-277 (2009)]. Mathematical models are made with three different body shapes, namely a rectangular shape, round shape, and ellipsoidal shape. From each model, the optimum speed can be determined, which minimizes the degree of wetness of the body.
METODE ITERASI BARU BEBAS DERIVATIF UNTUK MENEMUKAN SOLUSI PERSAMAAN NONLINEAR Eka Ceria; Agusni '; Zulkarnain '
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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Abstract

This article discusses a new derivative-free iterative method to find the solutions of nonlinear equations. Analytically it is shown that the order of convergence of the method is two. The advantage of this iterative method is that it can be used to obtain real roots and complex roots. In terms of this ability, the method is equivalentto Muller’s method. Numerical tests show that the iterative method is superior and efficient in terms of the number of iterations required to obtain a root.
PREMI ASURANSI JIWA BERJANGKA NAIK DENGAN MENGGUNAKAN HUKUM DE MOIVRE Antony Wijaya; Hasriati '; Musraini '
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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Abstract

This article discusses the premium for participants whose age are   years old, who participate in increasing term life insurance program. Premium calculated are a single  premium, the annual premium, and the premium with   times payment a year. The premiums consist of a single net premium calculation, the annual net premium, and net  premium payments with   times in a year that are influenced by due life annuity and management expense insurance.  Premium calculation used in this article of actuarialassumptions is the De Moivre of law.
FORMULA AKUMULASI FACKLER UNTUK CADANGAN PREMI BERDASARKAN ASUMSI CONSTANT FORCE Marintan Butar-butar; Hasriati '; Aziskhan '
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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Abstract

This article discusses Fackler accumulation formula which is used to determine reserve premium of an endowment life insurance by constant force assumption. The constant force assumption is the one that uses probability density function of exponentialdistribution. The counting of reserve premium is obtained by determining the annuity  and premium using the constant force assumption. Furthermore, an example is given to explain the problem discussed. On this case reserve premium is gotten using Fackler accumulation formula  by the constant force assumption.
FAMILI DARI METODE NEWTON-LIKE DENGAN ORDE KONVERGENSI EMPAT Nurazmi '; Supriadi Putra; Musraini 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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Abstract

This article discusses the families of Newton-Like methods derived from a combination of the secant method with Newton’s method based on the trapezoidal rule and inverse function to find a root of nonlinear equations. Analytically, it is shown that the iterative methods have the order of convergence four and for each iteration, they require four function evaluations, so the efficiency index is 1.414 which is the same as Newton’s method. Furthermore, computational results show that the iterative method is superior to the comparison methods in terms of the number of iterationsto obtain the estimated roots.
ANALISIS KEKONVERGENAN GLOBAL METODE ITERASI CHEBYSHEV Poppy Hanggreny; M. Imran; Zulkarnain '
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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Abstract

This article discusses the analysis of the global convergence of Chebyshev method through the geometric interpretation of how to derive its formula using the parabolic equation. The results of the analysis are posed in the theorems, which state hypotheses criteria when the Chebyshev method converges globally for any initial guess at some intervals. For comparison, the hypotheses criteria when the Euler method and Halley iteration convergen globally are also discussed. In comparing these methods through the computations, we look into the fulfillment of the hypotheses criteria of the theorems for each method and the number of iterations required to obtain the estimated roots.
FORMULASI UMUM METODE ITERASI DENGAN ORDE KONVERGENSI ENAM Dewi Khairati Putri; M. Imran; Zulkarnain '
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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Abstract

This article discusses the General Formulation of Iterative Method, which requires three function evaluations and one derivative function evaluation. Analytically it is showed, using the Taylor expansion and geometric series, that the General Formulation of Iterative Method has a convergence of order six. Furthermore, by choosing the values of certain parameters in the General Formulation of Iterative Method, several well-known iterative methods, which have three function evaluations and one derivative function evaluation, are obtained. Comparison between the proposed method and well-known methods are done by looking at the number of iterations and number of function evaluation. In addition, comparisons are also made through Basins of Attraction of the methods discussed.
TEKNIK ITERASI VARIASIONAL UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR Koko Saputra; Supriadi Putra; Zulkarnain '
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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Abstract

This article discusses the variational iteration technique to solve nonlinear equations. This iterative technique is obtained by estimating the second derivative that appears in the variational iteration method. Then by choosing certain functions in the form of exponents, three iterative methods of order three are found. Because the three methods require two evaluations of the function and one evaluation of the derivative function, then the eciency index of the three methods that have been suggested is 1:442, greater than the eciency index of Newton's method that is 1; 414.
METODE ITERASI TIGA LANGKAH DENGAN ORDE KONVERGENSI LIMA UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR BERAKAR GANDA Zuhnia Lega; Agusni '; Supriadi Putra
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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Abstract

This article discusses the three-step iterative method free from derivatives, modied from Newton's three-step method that contains two derivatives, to nd a multiple root of a nonlinear equation with unknown multiplicity. This iterative method has fth order of convergence and for each iteration, it requires four function evaluations, so the eciency index of the method is 1.495. Furthermore, the computational test shows that the discussed method is better than the comparison method when the success of this method is seen in getting estimated roots.

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