Browsing by Author "Muhammad, Imran"

Now showing 1 - 14 of 14
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    Beberapa Penurunan Metode Integrasi Numerik: Aturan Simpson
    (2017-11-14) Muhammad, Imran
    We discussed some derivations of Simpson rule formulas that are not commonly discussed in numerical analysis texts. The derivation involved a Lagrange interpolating polynomial, and a quadratic polynomial analytically and a combination of trapezoidal rule and midpoint rule, and a combination trapezoidal rule analytically and numerically. All the derivations ended up with the same formula of Simpson rule.
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    Beberapa Penurunan Metode Iterasi Untuk Solusi Persamaan Nonlinear: Metode Newton
    (2017-10-14) Muhammad, Imran
    Artikel ini membahas beberapa cara penurunan metodeiterasi, metode Newton, yang sering tidak di sajikan di buku-buku teks dasar-dasar metodenumerik. Penurunan dilakukan secara geometri, inter polasi langsung, inverse interpolasi dan penggunaan identitas Newton. kesimpulan, teknis yang baik dipilih dalam pengajaran metode numeric yang dapat dimanfaatkan untuk melakukan riset lebih lanjut dibidang analis anumerik.
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    An Improved New Iterative Method for Multiple Roots
    (2017-11-14) Muhammad, Imran
    We modify a new iterative method introduced by Abu-Alshaikh [Enformatika. 5 (2005) h. 190--193] to speed up the convergence for finding multiple roots of a nonlinear equation in one variable. Comparison between the discussed method and the iterative method introduced by Abu-Alshaikh is also given by looking into the number of iterations and error approximations
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    Kontrol Optimum Lqr Pada Model Love And Happiness Yang Melibatkan Pihak Ketiga
    (2016-04-22) Mutamar, Khozin; Putra, Supriadi; Deswita, Leli; Muhammad, Imran
    This article discusses about application of linear quadratic regulator in linear model of Love and Happiness with Affair. This paper focus on model with condition that make its unstable. Optimal control is used to control Romeo as treatment in order Romeo to release his affair. Simulation is given to illustrate design procedure and the result of treatment using LQR
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    MENENTUKAN INVERS SUATU MATRIKS DENGAN MENGGUNAKAN METODE AUGMENTASI DAN REDUKSI
    (2013-07-20) Wati, S. E.; Muhammad, Imran; Sirait, Asli
    We discuss a method to obtain an inverse of a nonsingular matrix, called Augmenta- tion and Reduction Method. The total computational cost of this method to obtain an inverse of a matrix is the same as those of Gauss-Jordan method. However this method to be applied needs more storage than those of Gauss-Jordan method.
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    METODE ITERASI BARU DENGAN KONVERGENSI ORDE ENAM UNTUK MENEMUKAN AKAR DARI PERSAMAAN NONLINEAR
    (2013-03-26) Hermiati, R; Muhammad, Imran; Lily, E
    This paper discusses a new Iterative method for finding a root of a nonlinear equa- tion obtained by combining Newton, Cordero and Torregrosa, and Parhi and Gupta methods. It is shown analytically that the new iterative method is of six order. The numerical simulation result is in agreement with the analytic finding
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    Midpoint Newton's Method for Simple and Multiple Roots
    (2017-11-14) Muhammad, Imran
    In this paper we propose a new modification of Newton's method based on midpoint rule for solving nonlinear equations. Analysis of convergence shows that the new method is cubically convergent for a simple root and linearly for multiple roots. The method requires one function evaluation and two of its first derivative, but no evaluations of its second derivative. We verify the theoretical results on relevant numerical problems and compare the behavior of the propose method with some existing ones.
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    Newton Iteration Based On Heronian Mean
    (2017-11-14) Muhammad, Imran
    We discuss modified Newton’s method using heronian mean instead of arithmetic mean. We show that this modification is of order three for a simple root. Comparisons among mean based Newton’s method are given by considering some numerical examples
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    PELATIHAN PEMBUATAN MEDIA PEMBELAJARAN MENGGUNAKAN MICROSOFT POWER POINTUNTUK PARA GURU SD DI KECAMATAN TAPUNG KAB KAMPAR
    (2013-04-26) Harison,Harison; Sugiarto, Sigit; Zulkarnaini, Zulkarnaini; Muhammad, Imran
    Penggunaan media khususnya media komputer sangat membantu guru dalam menerangkan obyek suatu pelajaran. Akan teapi banyak sekali guru yang belum mengusai ataupun menyadari peranan komputer sebagai alat bantu dalam media pembelajaran, kebanyakan mereka tau bahwa komputer sangat berperan dalam kebutuhan kantor dan sistim administrasi, dari pengemabdian yang kami lkukan hasilnya cukup menarik para guru mulai menyadari bahwa komputer juga bias berperan dalam alat bantu dalam bidang pengajaran, dan membuat sendiri alat bantu lebih menyenangkan dibanding dengan menggunakan paket yang sudah ada.
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    A predictor-corrector regulafalsi type forsolving a nonlinear equation of a single variable
    (2017-11-14) Muhammad, Imran
    A modified regulafalsi method, for solving a nonlinear equation of a single variable,based on applying another linear interpolation as corrector without any addition of function evaluations is presented in this paper. The method is known as predictor corrector method. The method has been tested in series of published examples. The numerical results show that the new method is very effective.
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    Root Mean Square Newton’s Method
    (2017-09-14) Syamsudhuha; Muhammad, Imran
    In this paper we discuss a new modification of Newton’s method based on Root Mean Square rule for solving nonlinear equations. We show that the convergence of the proposed method is of order three. We verify the theoretical results on relevant numerical problems and compare the behavior of the propose method with some mean based Newton’s method
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    Root Mean Square Newton’s Method
    (2017-10-14) Syamsudhuha, Syamsudhuha; Muhammad, Imran
    In this paper we discuss a new modification of Newton’s method based on Root Mean Square rule for solving nonlinear equations. We show that the convergence of the proposed method is of order three. We verify the theoretical results on relevant numerical problems and compare the behavior of the propose method with some mean based Newton’s method
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    Some Thought on Numerical Integration Based on Interpolation
    (2017-11-14) Muhammad, Imran; Karma, Asmara
    We discuss and do some analysis on numerical integration based on interpolation, midpoint, trapezoidal rule and Simpson rule. We end up with some new formulas, which are not mentioned in numerical analysis textbooks. The strategy we discuss, in terms of pedagogy, illuminate how research on mathematics can be carry out.
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    Yet Another Modified Newton Method
    (2017-11-14) Muhammad, Imran
    We discuss modified Newton methods, by looking at an approximation errorof a numerical approximation on an integral, and propose a modification usingmidpoint rule. Comparison among the discussed methods is also given byconsidering computational costs