Articles
Metode Newton-Steffensen untuk Menentukan Hampiran Akar Persamaan Tak Linier
Khairunisa Khairunisa;
Muhammad Subhan;
Meira Parma Dewi
Journal of Mathematics UNP Vol 3, No 1 (2018): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v3i1.4662
Abstract –Newton-Steffensen method is one of numerical method for finding root of nonlinear equation. This method is modified method from Newton-Raphson method. The purpose of this research is to review the iteration formula, compile the algorithm, and analyze the order of convergence. This research is theoretical research. Which is a literature study based on the relevant sources. Based on the result, the algorithm applied to a computer program. The order of convergence of Newton-Steffensen method is three so the method is faster than Newton-Raphson method.
Model Fenomena Imbibisi Kontra-Arus pada Media Berpori Homogen dalam Arah Horizontal
Vhinasy Andari;
Muhammad Subhan;
Riry Sriningsih
Journal of Mathematics UNP Vol 4, No 1 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v4i1.6282
Abstract –The imbibition phenomenon is spontaneous flow of injected liquid (water) to the medium, causing displacement of native liquid (oil) to production wells. This phenomenon occurs in homogeneous porous medium. If oil is still in the medium then oil production is not yet optimally.To observe and analyze the phenomenon we usemathematical model. This model of imbibition phenomenon in form of nonlinear partial differential equations and the solution can be determined. The analysis representsoil that can be produced optimally if the saturation of water is increasing with respect to period as well as with respect to distance. Keywords – Mathematical Model, Imbibition Phenomenon, Homogeneous Porous Medium, Partial Differential Equations
Optimalisasi Portofolio Saham dengan Simulasi Monte Carlo untuk Pengukuran Value at Risk (VaR)
Sarah Hardiana;
Muhammad Subhan;
Dewi Murni
Journal of Mathematics UNP Vol 6, No 1 (2021): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v6i1.11563
Abstract – Value at Risk (VaR) is the one of statistical measurement tools that measures the maximum expected loss from an investment on the certain confidence level and certain time period on normal market condition. One of the method to determine VaR value is Monte Carlo Simulation Method. The purpose of this paper is forming the optimal portfolio with VaR value. The type of reseaech is applied research using secondary data that is daily closing price stock LQ-45 about 6 months. The steps are determine the parameters, simulating the return value randomly, and calculate VaR value average. Based the result generated the optimal portfolio at the rate of return specified and by the smallest VaR value.Keywords – Portfolio, Value at Risk (VaR), Monte Carlo Simulation, stock
Penyelesaian Permasalahan Non Linear dengan Pendekatan Linearisasi Dua Fase
Maharani Safitri;
Muhammad Subhan
Journal of Mathematics UNP Vol 5, No 1 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v5i1.8907
Abstract—A nonlinear optimization problems with complicated nonlinear objective functions with nonlinear constraints is difficult to complete analytic but can be solved numerically. Research is conducted to seek solution of non-linear with constrained or not problems using a two-phase linearization approach. The result of this research is the solution of non-linear problems of minimum or maximum occupancy of the smallest residue.Keywords—Linear Programming Problems, Nonlinear Programming Problems, Linearization Approach, Taylor Series, Maclaurin series.
Model Host-Vector Penyebaran Virus Zika
Nadia Wulandari;
Muhammad Subhan
Journal of Mathematics UNP Vol 5, No 4 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v5i4.11100
Abstract— Zika is a disease caused by the bite of an infected Aedes mosquitoes, especially the Aedes aegypti mosquitoes. Besides being transmitted by mosquito bites, zika can also be transmitted by human sexual contact. The purpose is to determine the spread of zika virus through two populations and determine the paraeters that affect the distribution that are sensitive or affect the dynamic system. This research is a basic research, using descriptive methods. This method is done by analyzing theories related to the problem. Based on the results of the sensitivity analysis, it was found that the parameter affecting the basic reproductive value was the rate of mosquito bites and lifespan of vector. If the mosquito bite rate and the lifespan of the mosquito increase, then the basic reproductive value will also increase so that the zika virus will become epidemic.Keywords— Host-Vector Model, Zika, Sexual Transmission, Vector Transmission.
Model Matematika Terapi Hormon pada Kanker Payudara Menggunakan Jaringan Kanker Linear
rizqa hariq hazana;
muhammad subhan
Journal of Mathematics UNP Vol 4, No 3 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v4i3.7189
Abstract—Cancer is a disease in which abnormal growth of cells occurs. Breast cancer is a cancer that starts in the breast vessels which is usually known as epithelias cells. The goal of this study is to form a mathematical model that can illustrate how hormone therapy prevents estrogen receptors in breast epithelial cells to help cancer cells divide. Model is a differential equation system which has four equations and five fixed points. From the results of the analysis it was found that the fixed point P1 is always unstable, while the fixed points P2 to P5 are stable depending on certain conditions.Keywords—Mathematical Models, Breast Cancer, Hormone Therapy, Linear Cancer Network.
Model Matematika Penanggulangan Pencemaran Udara dengan Penanaman Pohon
Esty Wahyuni;
Muhammad Subhan
Journal of Mathematics UNP Vol 3, No 1 (2018): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v3i1.4659
Abstract – Air pollution is greatly feared by urban communities, as the majority of them use motor vehicles. The purpose of the research is to know the factors that increas air pollution using mathematical model. This research is a basic research using descriptive method. Research steps are identifying problems, determining variables, parameters, assumptions, forming mathematical models, analyzing models and interpreting models. The mathematical model analysis results obtained by a stable fixed point. Where the fixed point is which is the maximum value of each concentration. The stability behavior of the fixed point is strongly influenced by the condition of the parameter value of the model that is the rate of change of each factor. Factors that affect the increase of carbon monoxide in the air are the sources of carbon monoxide derived from motor vehicles, the source must be controlled so that the increase of carbon monoxide in the air can be limited.
Model Matematika Pengaruh Gempabumi Terhadap Bangunan Bertingkat
Latifah Hanum;
Muhammad Subhan
Journal of Mathematics UNP Vol 5, No 2 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v5i2.8921
Abstract — Earthquakes have an impact on building damage. Buildings with low-rise floors are often found to be damaged more than multi-storey buildings. The aim of the research is to investigate the movement of the building floor to see the structure response of building to the earthquake. Research on mathematical models of the effect of earthquakes on multi-storey buildings involves a system of differential equation which is solved by applying the eigenvalue method and eigenvector. The effect of coulomb damping is also incorporated in this study. The results of the study will show the history of displacement time, velocity, and acceleration of each building floor to earthquake loads and the relationship between natural frequency and earthquake time period. Keywords — Mathematical Modelling, Earthquake, Coulomb Damping.
Model Matematika Penyebaran Penyakit Kanker Serviks dengan Pengobatan Kemoterapi
Siti Aminah;
Muhammad Subhan
Journal of Mathematics UNP Vol 7, No 3 (2022): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v7i3.12725
Cervical cancer.is a disease that attacks the female.reproductive organs and often occurs in Indonesian women. Cervical cancer occurs because of a change from normal cervical cells to abnormal cervical cells and can turn into benign tumors and malignant tumors. The purpose of the reseach is to study the mathematical model of cervical cancer by chemotherapy treatment or to determine the effect of chemotherapy on cell growth in cervical cancer. The author performs a stability analysis on the fixed point model where there are two fixed points. The results of this study are that cervical cancer treatment with chemotherapy is effective enough to kill abnormal cells, although there are side effects, namely the killing of normal cells.
Penentuan Premi Tunggal Asuransi Jiwa Dwiguna Unit Link dengan Garansi Minimum Menggunakan Metode Annual Ratchet dan Model Black Scholes
SHELLA RIZKY AMALIA;
Muhammad Subhan
Journal of Mathematics UNP Vol 6, No 3 (2021): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v6i3.11953
Unit-linked Endowment life insurance is a Endowment life insurance that combines the benefits of insurance and investment. In determining the unit-linked Endowment life insurance premium, it is necessary to have a minimum guarantee value to overcome the risk of loss for the policyholder. The method that can be used is the Annual Ratchet method and the Black Scholes Model. The data used in this study is the daily closing stock data of PT. Astra Internasional and Bank Indonesia interest rates in January 2020. Life probability data is based on the 2019 Mortality Table. The results obtained in this study are single premium net Endowment unit-linked life insurance using the Annual Ratchet method and the Black Scholes model. Based on the case study, it is concluded that the premium for unit-linked dual-purpose life insurance with the Black-Scholes model is greater than the premium for the annual ratchet method.