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All Journal Media Statistika Jurnal Ilmu Dasar Statistika CAUCHY: Jurnal Matematika Murni dan Aplikasi Jurnal Matematika & Sains Dharmakarya : Jurnal Aplikasi Ipteks Untuk Masyarakat Jurnal Teknik Industri: Jurnal Keilmuan dan Aplikasi Teknik Industri BAREKENG: Jurnal Ilmu Matematika dan Terapan Buletin Sumber Daya Geologi JTAM (Jurnal Teori dan Aplikasi Matematika) International Journal of Supply Chain Management Jambura Journal of Mathematics MAJAMATH: Jurnal Matematika dan Pendidikan Matematika Eksakta : Berkala Ilmiah Bidang MIPA International Journal of Global Operations Research International Journal of Quantitative Research and Modeling Industrial Research Workshop and National Seminar Jurnal Matematika Integratif In Search (Informatic, Science, Entrepreneur, Applied Art, Research, Humanism)
Endang Rusyaman
Departemen Matematika FMIPA Universitas Padjadjaran
Agriculture, Biological Sciences & Forestry Arts Humanities Astronomy Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Public Health Transportation Other

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APROKSIMASI SOLUSI PERSAMAAN DIFERENSIAL FRAKSIONAL LOGISTIK DENGAN MENGGUNAKAN SPECTRAL COLLOCATION METHOD Pipih Aprianita; Eddy Djauhari; Endang Rusyaman
In Search (Informatic, Science, Entrepreneur, Applied Art, Research, Humanism) Vol 19 No 1 (2020): In Search
Publisher : LPPM UNIBI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37278/insearch.v19i1.261

Abstract

Persamaan diferensial adalah persamaan yang melibatkan turunan dari suatu fungsi. Persamaan diferensial dengan orde bilangan asli digunakan untuk penyelesaian permasalahan pada model matematika. Selain bilangan asli, orde persamaan diferensial juga dapat berupa nilai fraksional sehingga disebut persamaan diferensial fraksional. Pada penelitian ini penulis mencari aproksimasi solusi persamaan diferensial fraksional logistik menggunakan Spectral Collocation Method dengan bantuan polinomial Laguerre yang digeneralisasi, dimana metode ini merupakan metode yang cukup akurat dan efisien dalam mencari aproksimasi solusi persamaan diferensial nonlinear. Keakuratan dari aproksimasi solusi persamaan diferensial fraksional logistik melalui Spectral Collocation Method ditunjukan melalui perhitungan Mean Absolute Percentage Error (MAPE) serta perbandingan grafik aproksimasi solusi terhadap solusi eksak persamaan diferensial fraksional logistik melalui bantuan software Maple 15 dan Microsoft Excel.
Analisis Model Persamaan Diferensial Fraksional dari Penyebaran Penyakit Campak dan Solusi Numerik Menggunakan Metode Dekomposisi Adomian Laplace Wildan Rachman Gumelar; Endang Rusyaman; Nursanti Anggriani
In Search (Informatic, Science, Entrepreneur, Applied Art, Research, Humanism) Vol 22 No 2 (2023): In Search
Publisher : LPPM UNIBI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37278/insearch.v22i2.749

Abstract

Persamaan diferensial fraksional adalah persamaan diferensial dengan orde fraksional yang dapat diterapkan ke dalam berbagai bidang seperti aliran fluida, viskoelastisitas, viskositas, ekonomi, keuangan, dan model penyebaran penyakit. Campak adalah penyakit yang disebabkan oleh infeksi virus. Penyakit ini sering menyerang anak-anak dan tergolong penyakit yang sangat menular. Penelitian ini bertujuan untuk memperoleh model persamaan diferensial fraksional Susceptible Vaccinated Exposed Infected Quarantined Recovered (SVEIQR) dari penyebaran penyakit campak, medapatkan hasil analisis, solusi numerik, serta simulasi numerik dari model tersebut. Metode dekomposisi Adomian Laplace digunakan untuk memperoleh solusi numerik dari model persamaan diferensial fraksional SVEIQR penyebaran penyakit campak. Hasil dari penelitian ini adalah diperolehnya model persamaan diferensial fraksional SVEIQR dari penyebaran penyakit campak, pembuktian eksistensi dan ketunggalan solusi, memperoleh titik ekuilibrium, rasio reproduksi dasar, analisis kestabilan titik ekuilibrium non-endemik, memperoleh solusi numerik, dan simulasi numerik. Berdasarkan grafik yang diperoleh dari simulasi numerik didapat bahwa semakin mendekatnya orde turunan fraksional ke maka solusi dengan orde fraksional akan mendekati ke solusi dengan orde 1.
PENDAMPINGAN USAHA KECIL DALAM PENGGUNAAN MEDIA SOSIAL UNTUK PENINGKATAN PROFIT DAN PRODUKTIVITAS USAHA Chaerani, Diah; Perdana, Tomy; Rusyaman, Endang; Gusriani, Nurul; Firdaniza, Firdaniza; Balqis, Viona P; Irmansyah, Athaya Zahrani; Muslihin, Khoirunnisa R A; Ghiffari, Alif Muhamad
DHARMAKARYA: Jurnal Aplikasi Ipteks untuk Masyarakat Vol 12, No 3 (2023): September, 2023
Publisher : Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24198/dharmakarya.v12i3.43472

Abstract

Masalah utama yang diselesaikan dalam PPM Internal Unpad 2022 ini adalah bagaimana memberikan pendampingan pada usaha kecil yang ada di masyarakat untuk dapat membuka usaha secara online dan menggunakan internet atau smartphone  melalui media social sebagai upaya peningkatan manajemen usaha pada unit usaha yang telah berjalan, khususnya pada masa pandemi Covid-19 ini.  Dasar pemikiran merujuk pada kondisi bahwa media sosial telah berevolusi untuk menjadi alternatif cara berkomunikasi dan berbagi informasi serta ketertarikan. Indonesia merupakan negara keempat dengan jumlah pengguna internet terbesar. Pertumbuhan pesat dari sosial media beserta jaringannya terutama di negara-negara berkembang membuka lahan baru untuk adanya kontak antara produsen dan konsumen.Kontak antara produsen dan konsumen inilah yang biasanya dikenal dengan kegiatan berbelanja secara online. Keterkaitan antara penggunaan sosial media dengan kegiatan online shopping sangat erat.Untuk menganalisis data media sosial diperlukan pengetahuan yang dalam mengenai teknologi Internet, media sosial, basis data, struktur data, teori informasi, penambangan data, pembelajaran mesin, sampai kepada teknik visualisasi data dan informasi. Analisis media sosial bertujuan untuk pengembangan dan evaluasi informasi serta mengumpulkan, mengevaluasi, menganalisis, menyimpulkan, dan memvisualisasikan data dari media sosial. Analisis media sosial adalah proses untuk melihat, analisis, mengukur, dan prediksi interaksi digital, relasi, topik, ide-ide atau konten pada media sosial. Selanjutnya dalam rangka mendukung perkembangan perekonomian bangsa, diharapkan pendampingan ini dapat membantu para pelaku usaha kecil dalam bersosial media dalam hal peningkatan profit dan produktivas usaha. Lokasi PPM dipilih Desa Jatimukti yang terletak sekitar 5 KM dari Kampus Unpad Jatinangor.
Determining Flood Protection Strategy with Uncertain Parameter Using Adjustable Robust Counterpart Methodology Chaerani, Diah; Robbi, Muttaqien Rodhiya; Hertini, Elis; Rusyaman, Endang; Paulus, Erick
Jurnal ILMU DASAR Vol 21 No 1 (2020)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (126.689 KB) | DOI: 10.19184/jid.v21i1.10780

Abstract

Flooding is a natural disaster that often occurs, it is not surprising that floods are one of the problems that must be resolved in various countries, one of which is Indonesia. Flood is very detrimental to the public because the impact could be the loss of material and non-material. A flood protection system is needed and must be managed properly. This aims in management of flood protection systems often requires efficient cost control strategies that are the lowest possible long-term costs, but still meets the flood protection standards imposed by regulators in all plans. In this paper a flood protection strategy is modeled using Adjustable Robust Optimization. In this approach, there are two kinds of variables that must be decided, i.e., adjustable and non-adjustable variables. A numerical simulation is presented using Scilab Software. Keywords: Flood Protection Strategy, Uncertainty, Adjustable Robust Optimization, Scilab Software.
A Bibliometric Analysis for Lebesgue Measure Integration in Optimization Rusyaman, Endang; Munandar, Devi; Chaerani, Diah; Johar, Dwindi Agryanti; Ashgi, Rizky
International Journal of Global Operations Research Vol. 2 No. 2 (2021): International Journal of Global Operations Research (IJGOR), May 2021
Publisher : iora

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47194/ijgor.v2i2.58

Abstract

In solving mathematical problems so far, Riemann's integral theory is quite adequate for solving pure mathematics and applications problems. But not all problems can be solved using this integration, such as a discontinuous function that is not Riemann's integration. Lebesgue integral is an integration concept based on measure and can solve finite and unlimited function problems and be solved in a more general set domain. One of the bases of this integration is the Lebesgues measure includes the set of real numbers, where the length of the interval is the endpoints. The alternative use of this integral is widely used in various studies such as partial differential equations, quantum mechanics, and probabilistic analysis, requiring the integration of arbitrary set functions. This paper will show a comprehensive bibliometric survey of peer-reviewed articles referring to Lebesgue measure in integration. Search results are obtained 832 papers in the google scholar database and 997 papers using Lebesgue measure integration in optimization. It can also be seen that the research have 4 clusters and 3 clusters respectively with scattered keywords for each cluster. Finally, using bibliographic data can be obtained Lebesgues measure in integration and optimization supports many of the research and provides productive citations to citing the study.
ANALYSIS OF MULTI-OBJECTIVE LINEAR ROBUST OPTIMIZATION MODEL WITH LEXICOGRAPHICAL METHOD Azis, Chusnul Chatimah; Chaerani, Diah; Rusyaman, Endang
MEDIA STATISTIKA Vol 17, No 1 (2024): Media Statistika
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/medstat.17.1.57-68

Abstract

Problems in robust multi-objective linear optimization are a class of optimization problems with uncertain data parameters which aim in the decision-making process to obtain the best results in certain circumstances by choosing various solution methods for the multi-objective. This research aims to formulate a multi-objective Robust Optimization (RO) model using the Lexicographic Method, then analyzing the existence and uniqueness of the solution. Furthermore, gap analysis on the topic was carried out using a Systematic Literature Review (SLR) approach with the Preferred Reporting Items for Systematic Review and Meta Analysis (PRISMA) method. Results in SLR, the analysis results also shows that the Lexicographic Method is effective in handling data uncertainty with the objective functions sorted by priority. The robust formulation with polyhedral uncertainty sets ensures the flexibility and adaptability of the model. Convexity analysis and application of the Karush-Kuhn-Tucker (KKT) method prove that the resulting solution is exist and unique.
Solving Partial Differential Equations for Wave Equation Problem on Strings by Applying the Fourier Transform Amelia; Rusyaman, Endang; Kusuma, Dianne Amor; Azril
EKSAKTA: Berkala Ilmiah Bidang MIPA Vol. 24 No. 04 (2023): Eksakta : Berkala Ilmiah Bidang MIPA (E-ISSN : 2549-7464)
Publisher : Faculty of Mathematics and Natural Sciences (FMIPA), Universitas Negeri Padang, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/eksakta/vol23-iss04/346

Abstract

The wave equation on a string is an example of a partial differential equation problem. There are several methods for finding the solution to the wave equation on a string. The solution method will differ depending on definition of the function's domain. This study aims to determine the form of solving the wave equation on the strings and the results of the analysis of the wave motion that depends on the number of boundary conditions, using a particular solution method, namely the Fourier transform method. The boundary conditions used are Dirichlet boundary conditions. The Fourier transform method is used to obtain the solution of the wave equation on the string. The Fourier transform will transform the wave equation on the string and get the solution form of the wave equation on the string by applying the inverse Fourier transform. The results of this study obtained the same form of solution for each state from the wave equation on strings, namely in the form of the D'Alembert solution for the wave equation. As well, the movement of the wave will form a periodic solution by period , with a different form of deviation occurring at each point  for each value .
Numerical Solution of the Time-Fractional Black-Scholes Equation and Its Application to European Option Pricing Dihna, Elza Rahma; Rusyaman, Endang; Sukono, Sukono
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 2 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i2.35248

Abstract

The classical Black-Scholes model is widely used in option pricing but relies on idealized assumptions such as constant volatility and memoryless market dynamics, which limit its accuracy in capturing real-world financial behavior. To overcome these limitations, the time-fractional Black-Scholes model incorporates a fractional-order derivative—specifically the Caputo derivative—which introduces memory effects and accommodates time-varying volatility. This study focuses on numerically solving the time-fractional Black-Scholes equation using the finite difference method (FDM) and applying the results to the pricing of European call options. The model is discretized using an implicit finite difference scheme to ensure stability and accuracy over the time domain. Numerical simulations are conducted for various values of the fractional order α, illustrating that the option price is sensitive to the fractional parameter. Lower values of α tend to increase option prices, highlighting the influence of memory effects on pricing behavior. The results confirm that the finite difference method is an effective numerical tool for solving fractional partial differential equations and demonstrate that the fractional Black-Scholes model offers improved flexibility and realism in option  valuation, particularly in markets characterized by irregular volatility and non-Markovian features.
SOLUSI PENDEKATAN PERSAMAAN GELOMBANG FRAKSIONAL NON LINEAR MENGGUNAKAN NEW VERSION OF OPTIMAL HOMOTOPY ASYMPTOTIC METHOD Fikri, Faiqul; Djauhari, Eddy; Rusyaman, Endang
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 4 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (751.455 KB) | DOI: 10.30598/barekengvol14iss4pp523-534

Abstract

Non-linear differential equations with fractional derivative order are mathematical models that are widely used in modeling physical phenomena, one of the applications of these models is non-linear fractional wave equations. Many methods for solving non-linear fractional partial differential equations, one of which is the New Version of Optimal Homotopy Asymptotic Method which is developed by Liaqat Ali in 2016. The author will use this method to solve non-linear fractional wave equations predetermined, so that the convergence of function of the approximation solution non-linear fractional wave equation can be observed and it can be observed that the function of approximation solution of non-linear fractional wave equation solution using the New Version of Optimal Homotopy Asymptotic Method is simple and has a value error using Mean Absolute Percentage Error which is categorized very well
A Systematic Review on Integer Multi-objective Adjustable Robust Counterpart Optimization Model Using Benders Decomposition Irmansyah, Athaya Zahrani; Chaerani, Diah; Rusyaman, Endang
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 3 (2022): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i3.8578

Abstract

Multi-objective integer optimization model that contain uncertain parameter can be handled using the Adjustable Robust Counterpart (ARC) methodology with Polyhedral Uncertainty Set. The ARC method has two stages of completion, so completing the second stage can be assisted by the Benders Decomposition. This paper discusses the systematic review on this topic using the Preferred Reporting Items for Systematic Reviews and Meta-Analysis (PRISMA). PRISMA presents a database mining algorithm for previous articles and related topics sourced from Scopus, Science Direct, Dimensions, and Google Scholar. Four stages of the algorithm are used, namely Identification, Screening, Eligibility, and Included. In the Eligibility stage, 16 articles obtained and called Dataset 1, used for bibliometric mapping and evolutionary analysis. Moreover, in the Included stage, six final databases obtained and called Dataset 2, which was used to analyze research gaps and novelty. The analysis was carried out on two datasets, assisted by the output visualisation using RStudio software with the " bibliometrix" package, then we use the command 'biblioshiny()' to create a link to the “shiny web interface”. At the final stage of the article using six articles analysis, it is concluded that there is no research on the ARC multi-objective integer optimization model with Polyhedral Uncertainty Sets using the Benders Decomposition Method, which focuses on discussing the general model and its mathematical analysis. Moreover, this research topic is open and becomes the primary references for further research in connection.  
Co-Authors Abiodun Ezekiel Owoyemi Achmad, Fariz Alit Kartiwa Alit Kartiwa Amelia Anjang Risara Vilinea Annisa Nur Falah, Annisa Nur Asep Kuswandi Supriatna Ashgi, Rizky Azis, Chusnul Chatimah Azril Balqis, Viona P Betty Subartini Budi Nurani Ruchjana Deny I. Rakhmatullah Devi Munandar, Devi Diah Chaerani Dian Nuryani Diana Ekanurnia Dihna, Elza Rahma Dody Jesaya Sinaga Eddy Djauhari Edi Kurniadi Elis Hertini Ema Carnia Endang Soeryana Hasbullah Erick Paulus Fikri, Faiqul Firdaniza Firdaniza Gani Gunawan Ghiffari, Alif Muhamad Ira Sumiati Irmansyah, Athaya Zahrani Ismail Bin Mohd Johar, Dwindi Agryanti Julita Nahar Jumadil Saputra Kankan Parmikanti Kusuma, Dianne Amor Melda Noereast Talytha Muhammad Deni Johansyah Muslihin, Khoirunnisa R A Mustafa Mamat Nabila Hasna Naufal Badruzzaman Naufal Badruzzaman Nirbhaya Salsabila NUR HAMID Nursanti Anggriani Nurul Gusriani, Nurul Pipih Aprianita Robbi, Muttaqien Rodhiya Rustam Effendy Siregar Sukono Sukono Sunarta Susanto Tomy Perdana Wildan Rachman Gumelar Yuningsih, Siti Hadiaty Yuyun Hidayat Zahrani Irmansyah, Athaya