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Contact Name
Chairul Imron
Contact Email
cha_imron15@its.ac.id
Phone
+6285648721814
Journal Mail Official
limits.matematika@its.ac.id
Editorial Address
Departemen Matematika Fakultas Sains dan Analitika Data Institut Teknologi Sepuluh Nopember Sukolilo, Surabaya 60111, Indonesia Phone: +62-31-5943354 Email: limits.matematika@its.ac.id
Location
Kota surabaya,
Jawa timur
INDONESIA
Limits: Journal of Mathematics and Its Applications
ISSN : 1829605X     EISSN : 25798936     DOI : -
Core Subject : Science, Education,
Limits: Journal of Mathematics and Its Applications merupakan jurnal yang diterbitkan oleh Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember, Surabaya, Indonesia. Limits menerima makalah hasil riset di semua bidang Matematika, terutama bidang Analisis, Aljabar, Pemodelan Matematika, Sistem dan Kontrol, Matematika Diskrit dan Kombinatorik, Statistik dan Stokastik, Matematika Terapan, Optimasi, dan Ilmu Komputasi. Jurnal ini juga menerima makalah tentang survey literatur yang menstimulasi riset di bidang-bidang tersebut di atas.
Articles 270 Documents
Faktor Dominan Pada Deformasi Gelombang Bikromatik Multiarah Toto Nusantara
Limits: Journal of Mathematics and Its Applications Vol. 3 No. 2 (2006): Limits: Journal of Mathematics and Its Applications Volume 3 Nomor 2 Edisi Nove
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

In this paper we consider to dominant factor of multidirectional bichromatic waves deformation. Third order solution of iKP equation with bichromatic signal at the boundary is used as a model of bichromatic waves. Due to dispersive and non linearity properties of wave model, bichromatic wave was deformed when propagated. By analysing of wave component, it was found that wave deformation due to ¯rst order and third order component side band and free waves.
Pergerakan Aliran MHD Ag-AIR Melewati Bola Pejal Yolanda Norasia; Basuki Widodo; Dieky Adzkiya
Limits: Journal of Mathematics and Its Applications Vol. 18 No. 1 (2021): Limits: Journal of Mathematics and Its Applications Volume 18 Nomor 1 Edisi Me
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Fluida merupakan zat yang dapat mengalir dan mengalami perubahan secara kontinu akibat adanya tegangan geser. Analisis pengukuran dari ketahanan fluida terhadap tegangan geser menggunakan viskositas. Berdasarkan viskositas, fluida dibagi menjadi dua yaitu fluida newtonian dan fluida non-newtonian. Fluida non-newtonian terdiri atas fluida viskos, fluida mikropolar dan fluida nano. Salah satu contoh fluida nano adalah Ag-Air. Fluida tersebut tersusun dari fluida dasar air dan partikel nano Ag yang memiliki daya hantar dan tingkat konduktivitas yang tinggi. Adanya pengaruh medan magnet pada Fluida nano Ag-Air, maka menjadi fluida tersebut dapat menghantarkan arus listrik (memiliki sifat magnetohidrodinamik/MHD). Merujuk pada hasil riset sebelumnya bahwa parameter magnetik dan konveksi dapat mempengaruhi profil kecepatan dan temperatur pada fluida. Pada penelitian ini dibahas mengenai model matematika dan penyelesaian numeriknya dari permasalahan pergerakan aliran MHD Ag-Air yang melewati bola pejal dengan pengaruh parameter magnetik dan konveksi. Diperoleh hasil bahwa variasi magnetik yang meningkat mengakibatkan pergerakan Ag-Air melambat dan temperatur Ag-Air meningkat. Dengan meningkatkan parameter konveksi diperoleh pergerakan Ag-Air lebih cepat dan temperatur Ag-Air mengalami penurunan.
Studi Perbandingan Ekpektasi Biaya Total Antara Kasus Bakcorder dan Lost Sales pada Model Persediaan Probabilistik Valeriana Lukitosari
Limits: Journal of Mathematics and Its Applications Vol. 3 No. 2 (2006): Limits: Journal of Mathematics and Its Applications Volume 3 Nomor 2 Edisi Nove
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Model persediaan probabilistik merupakan pengembangan dari model pengendalian persediaan deterministik untuk keadaan yang lebih realistik yaitu persediaan atas permintaan yang tidak menentu. Masalah penting yang muncul dalam sistem pengendalian persediaan adalah apa yang terjadi pada pesanan konsumen, ketika barang yang dipesan untuk sementara waktu tidak tersedia. Hal ini menyebabkan terjadinya kasus backorder dan lost sales. Dalam paper ini akan dianalisa perbedaan Ekpektasi Biaya Total antara kasus bakcorder dan lost sales.
Model Matematika COVID-19 dengan Sumber Daya Pengobatan yang Terbatas Utti Marina Rifanti; Atika Ratna Dewi; Nurlaili
Limits: Journal of Mathematics and Its Applications Vol. 18 No. 1 (2021): Limits: Journal of Mathematics and Its Applications Volume 18 Nomor 1 Edisi Me
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Coronavirus 2019 (COVID-19) merupakan penyakit menular yang disebabkan oleh Severe Acute Respiratory Syndrome Coronavirus 2. Hingga Desember 2020, terdapat 617 ribu kasus terkonfirmasi positif COVID-19 dengan total 18 ribu kematian karena COVID-19 di Indonesia. Pada penelitian ini, kami menggunakan model kompartemen Susceptible- Exposed-Infected-Recovered (S EIR) untuk analisis dampak sumber daya pengobatan yang terbatas dan memprediksi dinamika penyebaran COVID-19 di Indonesia. Metode yang digunakan adalah penurunan angka rasio reproduksi dasar dan titik ekuilibrium menggunakan analisis sistem dinamik dalam bentuk persamaan diferensial non linier yang diperoleh dari model awal. Kemudian, kami menganalisis angka rasio reproduksi dasar dan titik ekuilibrium, serta memprediksi kondisi pandemi COVID-19 menggunakan kasus nyata di Indonesia sejak 2 Maret hingga 30 Nopember 2020. Dari hasil penelitian ini, diperoleh bahwa jika perubahan kasus terinfeksi terhadap waktu kurang dari 2640 kasus, maka angka rasio reproduksi dasar menjadi kurang dari nol dan nilai semakin mendekati nol saat mulai memasuki bulan Maret 2021. Hal tersebut berarti, jika rata-rata kasus positif terkonfirmasi harian masih di bawah kapasitas maksimal sumber daya pengobatan, yaitu 2640 kasus, maka dari hasil analisis model diprediksikan bahwa penyakit akan mulai menghilang pada bulan Maret 2021. Sebaliknya, jika kasus positif terkonfirmasi harian di atas 2640 kasus, maka diperkirakan penyakit akan mulai menghilang pada Juni 2021.
Masalah Invers Pada Homogenisasi Periodik Persamaan Hamilton-Jacobi Made Benny Prasetya Wiranata
Limits: Journal of Mathematics and Its Applications Vol. 19 No. 1 (2022): Limits: Journal of Mathematics and Its Applications Volume 19 Nomor 1 Edisi Me
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

The half-Space Model Problem for Compressible Fluid Flow Sri Maryani; Lukman B Nugroho; Agus Sugandha; Bambang H Guswanto
Limits: Journal of Mathematics and Its Applications Vol. 18 No. 1 (2021): Limits: Journal of Mathematics and Its Applications Volume 18 Nomor 1 Edisi Me
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

In this paper we consider the solution formula for Stokes equation system without surface tension in half-space. More precisely, we deal with the solution of velocity and density for the model problem. This result is the basic step to estimate the solution operator of the model problem. We investigate the solution operator for the model problem in N-Dimensional Euclidean space (N>=2)In this paper we consider the solution formula for Stokes equation system without surface tension in half-space. More precisely, we deal with the solution of velocity and density for the model problem. This result is the basic step to estimate the solution operator of the model problem. We investigate the solution operator for the model problem in N-Dimensional Euclidean space ()
Pengaruh Inflasi terhadap Strategi Optimal Investasi dan Konsumsi dengan Model Stokastik Dara Irsalina; Retno Budiarti; I Gusti Putu Purnaba
Limits: Journal of Mathematics and Its Applications Vol. 19 No. 1 (2022): Limits: Journal of Mathematics and Its Applications Volume 19 Nomor 1 Edisi Me
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

The aim of this study is to investigate an optimal investment-consumption strategy under inflation rate with interest rate is described by Cox-Ingersol-Ross (CIR) model and volatility of the stock price is defined by Heston’s volatility model. A dynamic programming principle is used to obtain a Hamilton Jacobi Bellman (HJB) equation for the value function and choose a power utility function as utility function. The explicit solution of optimal investment and consumption are acquired with using separate variable and approach variable technique. The parameter’s values are approached by Euler-Maruyama method and Ordinary Least Square (OLS) method. Assumed that the portfolio of the investor contains a risk-free asset and a risk asset. Monthly historical data of TLK stock is used as risk asset and monthly historical data of BI 7-Day (Reverse) Repo Rate (BI7DRR) is used as risk-free asset, we obtain that the proportion of investment in stock is directly proportional to return of stock and the inflation rate does not have an impact on proportion investment in the stock. Meanwhile the optimal consumption of wealth is directly proportional to investor’s wealth and inversely proportional with inflation rate, which is the investor should consume less money of his wealth when the inflation rate increases.
The Application of The Steepest Gradient Descent for Control Design of Dubins Car for Tracking a Desired Path Miswanto; I. Pranoto; H. Muhammad; D. Mahayana
Limits: Journal of Mathematics and Its Applications Vol. 4 No. 1 (2007): Limits: Journal of Mathematics and Its Applications Volume 4 Nomor 1 Edisi Mei
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

In this paper, we consider the control design of the Dubins car system to track a desired path. We design the control of the Dubins car system using optimal control approach. The control of the Dubins car system is designed for tracking the desired path. Instead of the usual quadratic cost function, a special type of cost functional which includes a tracking error term will be considered. By this special cost functional, the minimum tracking error of path of the Dubins car toward a desired path using Pontryagin Maximum Principle is obtained. The analytical solution of the Hamiltonian system is di±cult to obtain. So, a numerical solution with the steepest gradient descent method is proposed. The numerical results are given at the last section of this paper.
Model Bayesian Hirarki Curah Hujan Untuk Menentuan Return Level Pendekatan Peaks Over Threshold Soehardjoepri, Soehardjoepri; Farida Agustini Widjajati; Retno Palupi
Limits: Journal of Mathematics and Its Applications Vol. 15 No. 2 (2018): Limits: Journal of Mathematics and Its Applications Volume 15 Nomor2 Edisi Nop
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Curah hujan ekstrim merupakan kondisi curah hujan yang sangat tinggi atau sangat rendah. Salah satu ilmu yang mempelajari kejadian ekstrim adalah pendekatan Peaks Over Threshold (POT) dengan pola distribusi mengikuti Generalized Pareto Distribution (GPD). Pada penulisan makalah ini identifikasi curah hujan ekstrim di Derah Aliran Sungai (DAS) Brantas di Kabupaten Nganjuk dilakukan dengan pendekatan POT. Selanjutnya estimasi parameter GPD dilakukan menggunakan Model Bayesian Hierarchy (MBH), distribusi prior yang digunakan dalam penelitian ini adalah conjugat prior. Hasil data curah hujan ekstrim dan hasil estimasi parameter GPD digunakan dalam perhitungan prediksi retun level curah hujan ekstrim dalam beberapa periode waktu ke depan di lima pos hujan DAS Brantas di Kabupaten Nganjuk yang diamati. Berdasarkan hasil yang didapat, dalam satu tahun ke depan di lima pos hujan yang diamati tidak terjadi hujan ekstrim, namun dalam tiga dan lima tahun ke depan terjadi curah hujan ekstrim
Rumus Bilangan Reproduksi Dasar Covid-19 dengan Adanya Vaksinasi Dosis 1 dan 2 Aini Fitriyah
Limits: Journal of Mathematics and Its Applications Vol. 19 No. 1 (2022): Limits: Journal of Mathematics and Its Applications Volume 19 Nomor 1 Edisi Me
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

This study aims to determine the basic reproduction number for Covid-19 with vaccination. The research method used is a literature study. The research step begins with construct a mathematical model of Covid-19 with vaccination, determining the basic reproduction formula and simulation. The mathematical model of Covid-19 is constructed by distinguishing susceptible subpopulations that have vaccinated doses 1 or 2, as well as infected subpopulations that have been vaccinated or not before. The model is . The analysis shows that the basic reproduction formula consists of several types of parameters. It is in accordance with simulation by using Matlab software. Simulation was taken based on Covid-19 and vaccination data in the Central Java Province. It shows that the greater the value of individual being vaccinated, the lower the basic reproduction number. This means that Covid-19 can disappear if more individuals get vaccinated against Covid-19.

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