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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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GENERALISASI METODE GAUSS-SEIDEL UNTUK MENYELESAIKAN SISTEM PERSAMAAN LINEAR Andri Ramadhan; Syamsudhuha '; Asli Sirait
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 presents a generalized Gauss-Seidel method for solving system of linear equations. This article is a review of Salkuyeh's paper [Numerical Mathematics, A Journal of Chinese Universities, 16: 164-170, 2007]. Some examples are presented at the end of discussion.
METODE ITERASI BERTIPE NEWTON UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR DENGAN ORDE KONVERGENSI SEBARANG BILANGAN BULAT Putri, Ayunda; M., Imran; ', 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 an analytic study of combining iterative methods of order p and q with p and q integers to Newton’s method to obtain a Newton-type iteration method of order p + q. This new method can also be applied to solve systems of nonlinear equations. Numerical computations are carried out consecutively for a method of second and third order, which produce a Newton-type method of fifth order, and methods of third and fifth order, which produce a Newton-type method  of eighth order. The test results support the analytical studies.
VARIASI METODE CHEBYSHEV DENGAN ORDE KEKONVERGENAN OPTIMAL UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR Julia Murni; Imran M.; Sigit Sugiarto
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 variants of Chebyshev's methods to solve a nonlinear equation. Analytically, it is shown that the methods are of four order. Numerical comparisons show that the proposed methods are better than Newton's method, Chebyshev's method, Chebyshev-Halley's method, and Jarratt's method in performance, in terms of succeeding in obtaining the root.
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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Abstract

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.
EMPAT CARA UNTUK MENENTUKAN NILAI INTEGRAL POISSON Novrialman '; Sri Gemawati; Agusni '
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

Poisson Integral is one of the definite integrals  that can  not be solved by an elementary technique. In this article, we discuss four ways to solve the Poisson integral on the  interval [-1, 1], that is using the Riemann sum,  functional equations, parametric derivatives and infinite series. All of the methods produce the same solution.
METODE NEW JERSEY UNTUK CADANGAN ASURANSI JIWA DWIGUNA DENGAN DISTRIBUSI GOMPERTZ Ramlah Annuri; Tumpal P. Nababan; 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  the  prospective premium  reserve modified  using  New  Jersey method on endowment insurance.  This method limits  calculation of reserves for 20 years. The calculations of the endowment insurance reserve is solved  by  priordetermination  of the annuity, single premium, and annual premium based on the  distribution of Gompertz.
METODE ITERASI OPTIMAL BERORDE EMPAT UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR Yanti, Helmi Putri; M., Imran; 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

In this article, we discuss the derivation of an optimal iterative method using a quadratic polynomial, which is a review and a correction of a part of Fern´andez-Torres and V´asquez-Aquino’s article [Advances in Numerical Analysis, 10: 1-8, 2013]. Analytically we show that the obtained method has an order of convergencefour and requires three function evaluations per iteration, so that the efficiency index of the method is 1.587. The analytical results are in agreement with the com-putational examples. Numerical comparisons show that the method obtained can compete with the existing fourth order methods.
PENAKSIR RASIO PROPORSI YANG EFISIEN UNTUK RATA-RATA POPULASI PADA SAMPLING ACAK BERSTRATA Devri Maulana; Arisman Adnan; Haposan Sirait
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

In this article we review three proportion ratio estimators for the population mean on stratified random sampling, i.e. traditional proportion ratio estimator, proportion ratio estimator  using coefficient of regression, and proportion ratio estimator  usingcoefficient of regression and curtosis as discussed by Singh and Audu [5]. The three estimators  are  biased  estimators,  then  the  mean  square  error  of  each  estimator  is determined.  Furthermore, these mean square errors are compared to each other. This comparison shows that the proportion ratio estimator using coefficient of regression and curtosis more efficient than other estimators. 
PREMI ASURANSI JIWA GABUNGAN BERJANGKA DENGAN ASUMSI GOMPERTZ Danu Aditya; Johannes Kho; T. P. Nababan
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 annual premium of term insurance for joint life. In this kind of insurance,  the sum assured  of two people insured with the age of   and   is paid if only  one of the insureds dies during the coverage period and then no more premium payment. The annual premium is affected by single premium and present value of  annuity due, where Gompertz assumption is used in calculation. A bigger premium is obtained using the Gompertz assumption.
SOLUSI POLINOMIALPERSAMAAN HERMITE YANG DIPERUMUM Suriyaamsah '; Asmara Karma; 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 how to find a solution of generalized Hermite equation in the form of a polynomial. The discussion focuses on a necessary and sufficient condition for the existence of polynomial solutions of the generalized Hermite equation. By providing certain restrictionson the coefficients of the polynomial, the solution obtained is a monic polynomial.

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