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Ari Wibowo

UIN Raden Mas Said Surakarta

Author-ID : 7184965

Religion Humanities Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Engineering Languange, Linguistic, Communication & Media Mathematics Social Sciences Other

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Analisis Estimasi IRR Menggunakan Metode Newton Raphson pada Data Arus Kas Saham PT Bank Syariah Indonesia Tbk Shinta Marchiana Safara; Faradiba Saroh; Ari Wibowo
RIGGS: Journal of Artificial Intelligence and Digital Business Vol. 5 No. 2 (2026): Mei-Juli
Publisher : Prodi Bisnis Digital Universitas Pahlawan Tuanku Tambusai

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31004/riggs.v5i2.10729

Penelitian ini bertujuan untuk menganalisis tingkat pengembalian investasi saham PT Bank Syariah Indonesia Tbk menggunakan pendekatan metode numerik. Data yang digunakan berupa arus kas investasi yang terdiri dari harga pembelian saham, dividen yang diterima investor, serta nilai terminal pada akhir periode investasi. Arus kas tersebut memiliki interval waktu yang tidak seragam sehingga perhitungan tingkat pengembalian tidak dapat dilakukan dengan metode aljabar biasa. Oleh karena itu digunakan metode Newton–Raphson untuk mencari nilai Internal Rate of Return (IRR) dari fungsi Net Present Value (NPV). Penelitian ini menggunakan pendekatan kuantitatif dengan model analisis deterministik berbasis data sekunder berbentuk time-series. Proses analisis dilakukan melalui tahap normalisasi waktu, penyusunan model NPV, serta iterasi numerik menggunakan algoritma Newton–Raphson hingga mencapai nilai konvergen. Hasil penelitian menunjukkan bahwa metode Newton–Raphson mampu menemukan nilai IRR secara cepat dan stabil hanya dalam beberapa iterasi. Berdasarkan data arus kas yang dianalisis diperoleh nilai IRR sebesar sekitar 7,39% per tahun. Nilai ini menggambarkan tingkat pengembalian investasi yang diperoleh investor selama periode penelitian. Hasil tersebut menunjukkan bahwa metode numerik dapat digunakan secara efektif dalam analisis investasi dengan arus kas yang tidak teratur. Selain itu, penelitian ini juga menunjukkan bahwa penerapan metode matematika numerik dapat memberikan kontribusi dalam pengambilan keputusan keuangan yang lebih akurat dan rasional.

Effect of Reward Types and Forms of Punishment on Student Learning Interest in Islamic Cultural History Subjects in Class VII MTs N III Boyolali Anisa Rosidah; Ari Wibowo
LENTERNAL: Learning and Teaching Journal Vol. 3 No. 2 (2022): LENTERNAL: Learning and Teaching Journal
Publisher : Fakultas Tarbiyah, IAIN Syaikh Abdurrahman Siddik Bangka Belitung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32923/lenternal.v3i2.2427

The problem in this study is that most students still talk to their peers and even do other activities outside of SKI learning. The purpose of this study has three objectives, namely to (1) determine the effect of reward types on SKI learning interest in grade VII students at MTs N 3 Boyolali, (2) knowing the effect of punishment forms on SKI learning interest in class VII students at MTs N 3 Boyolali, (3) knowing the interaction between reward types and punishment forms in influencing SKI learning interest in class VII students at MTs N 3 Boyolali. The research method used is a quantitative method of experimentation. The place of this research was conducted at MTs Negeri 3 Boyolali. The time of the study starts from January 2018 until January 2019. Data collection uses a questionnaire method filled by 150 students and observation in class. The results of the validity and validity test use the product moment formula. Test the reliability of the interest in learning using the split technique. The data analysis test uses mean, median, mode, standard deviation and line box diagrams. Hypothesis testing uses two-way anava. The results showed that (1) there was an effect of the type of reward on SKI learning interest in grade VII students at MTs N 3 Boyolali with sig. equal to 0,000, (2) there is an influence of the form of punishment on the interest in learning SKI in class VII students at MTs N 3 Boyolali with sig. equal to 0,000, (3) there is no interaction between the types of rewards and forms of punishment in influencing the interest in learning SKI at the level of 5%, while at the level of 10% there is an interaction between the types of rewards and forms of punishment in influencing the interest in learning of SKI grade VII students at MTs N 3 Boyolali with sig. amounted to 0.073. The explanation for the interaction is as follows: punishment form of reprimand if combined with reward rewards and praise can increase students' interest in learning SKI, as well as punishment of logical consequences combined with reward rewards. However, if the reward of praise is combined with the logical consequences of student interest in learning SKI is low. So it can be concluded that if punishment punishment is combined with reward rewards and praise then students' interest in learning is high, so is the logical consequence punishment combined with reward rewards. However, if the reward of praise is combined with the logical consequences of punishment, students' interest in learning SKI is low.

Convergence and Efficiency Analysis of the Gauss-Seidel Method in Solving Linear Equation Systems: Implementation on Maple Nahdia Tuzzaro; Nadira Islam Madinah; Ari Wibowo
Jurnal THEOREMS (The Original Research of Mathematics) Vol. 11 No. 2 (2026): Volume 11 Number 2 May 2026
Publisher : Program Studi Pendidikan Matematika Universitas Majalengka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31949/th.v11i2.18129

Iterative methods provide an efficient approach for solving large-scale systems of linear equations. This study aims to analyze the convergence and efficiency of the Gauss-Seidel method in solving linear systems through Maple-based implementation. Convergence analysis is conducted by examining the spectral radius of the iteration matrix and the diagonal dominance property of the coefficient matrix, while efficiency is evaluated based on the number of iterations and computational time. Numerical experiments are performed on various matrix sizes with an error tolerance of 10-5. The results indicate that the Gauss-Seidel method converges when the spectral radius of the iteration matrix is less than one and the coefficient matrix satisfies diagonal dominance conditions. The implementation in Maple enables systematic and accurate numerical and spectral analysis. This study contributes to computational-based numerical method analysis and provides a reference for selecting efficient iterative methods.

Implementasi Metode Regula Falsi Dalam Menentukan Waktu Pencapaian Jumlah Penduduk Indonesia Menggunakan Microsoft Excel Arif Prasetiyawan; Pradnya Kaifa Nazlatussyafa’atin; Ari Wibowo
Jurnal Ilmiah Matematika Vol. 13 No. 2 (2026)
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26555/jim.v13i2.32319

Pertumbuhan jumlah penduduk Indonesia yang terus meningkat menuntut prediksi akurat sebagai dasar perencanaan pembangunan menuju Indonesia Emas 2045. Penelitian ini bertujuan mengimplementasikan Metode Regula Falsi dalam menentukan waktu pencapaian jumlah penduduk Indonesia berdasarkan model pertumbuhan eksponensial menggunakan Microsoft Excel. Pendekatan yang digunakan adalah pemodelan matematika dan komputasi numerik. Data sekunder jumlah penduduk tahun 2021–2025 dari Badan Pusat Statistik (BPS) dianalisis untuk menentukan parameter model eksponensial, kemudian diselesaikan secara iteratif menggunakan metode Regula Falsi. Diperoleh laju pertumbuhan r ≈ 1,055% per tahun dengan populasi awal P₀ = 272.682.500 jiwa. Hasil iterasi menunjukkan konvergensi pada t ≈ 23,66, artinya penduduk Indonesia diperkirakan mencapai 350.000.000 jiwa sekitar tahun 2045. Konsistensi model dikonfirmasi menggunakan data 2016–2025 dengan hasil estimasi yang relatif sama. Penelitian ini menunjukkan bahwa metode Regula Falsi efektif untuk menyelesaikan persamaan nonlinier dalam pemodelan kependudukan dan Microsoft Excel mampu memfasilitasi komputasi numerik secara sistematis

ANALYSIS OF INDONESIA’S OIL PRODUCTION AND CONSUMPTION USING LAGRANGE POLYNOMIAL INTERPOLATION WITH MATLAB Annisa Nur Azizah; Luluk Dwi Anggraini; Ari Wibowo
JURNAL PEMBELAJARAN DAN MATEMATIKA SIGMA (JPMS) Vol 12, No 2 (2026): (IN PRESS)
Publisher : Fakultas Keguruan dan Ilmu pendidikan (FKIP) Universitas Labuhan Batu

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36987/jpms.v12i2.9214

This study aims to examine patterns of oil production and consumption in Indonesia using the Lagrange polynomial interpolation method with the assistance of MATLAB R2025b software. The data used consists of secondary data on Indonesia’s oil production and consumption from Worldometer, covering the period 2016–2024. This study employs a quantitative approach using interpolation analysis techniques to estimate values at time points not available in the original data, thereby providing a more continuous picture of the data dynamics. The results show that the Lagrange polynomial interpolation method is capable of producing a smooth, continuous curve that passes through all observation points, thus providing a good level of approximation and closely matching actual values. The analysis shows that oil production in Indonesia tends to decline despite fluctuations in certain periods, specifically from 940,999 barrels per day in 2016 to 840,868 barrels per day in 2024 (a decrease of approximately 10.6%), while oil consumption shows an upward trend, rising from 1,527,215 barrels per day in 2016 to 1,626,878 barrels per day in 2024 (an increase of approximately 6.5%). Furthermore, oil consumption has consistently exceeded production, with the gap ranging from 517,691 barrels per day (2020) to 800,657 barrels per day (2018), indicating a gap between national energy needs and domestic production capacity. These findings indicate that the Lagrange polynomial interpolation method is effective in modeling numerical data and capable of providing an overview of the national energy situation, thereby serving as an analytical tool to support planning and policymaking in the energy sector.

Co-Authors Ahmad Rafli Hidayat anisa rosidah Annisa Nur Azizah Anysa Puspitasari Arif Prasetiyawan Arifin, Ahmad Jayadi Aristika, Bella Astuti , Wiwin Astutik Apriliana Aulia Az Zahra Baedowi, Hilmina Rofa' Bisri , Moh. Cynthiagustin Cahya Kartika Della Kusumawati Deshinta Yura Saraswati Dewi, Lathifah Aulia Dhina Laras Ati Dimas Maulidani Erlinda Rahma Dewi Faradiba Saroh Hardi Hardi Heldy Ramadhan Putra P Hidayah, Tsalatsatun Nur Hidayat, Ahmad Rafli INAYAH, ISTIQOMAH SARAH NUR Isnaini Qoiriyah Istnaniah Hani Salami Karismatun Nisak Kiki Insani Sholihah Lailatul Maghfiroh Sya’baniyah Lathifah Aulia Dewi Lesmana, Anung Candra Lila Pangestu Hadiningrum Linda Agustin WWidyawati Lestari Luluk Dwi Anggraini Meita Rehania Moh. Bisri Moh. Bisri Mukaromah Mafaza Nabila Istiana Nadira Islam Madinah Nahdia Tuzzaro Natarina, Lilia Mey Nazwa Afrilia Soliha Nisa’, Adillah Khairun Novia Rista Ramadhani Nur Hidayati Nur Hidayati Nurul Rohmawati, Nurul Pradnya Kaifa Nazlatussyafa’atin Ratih Irmawanti Rejeki, Trimo Bagiono Rika Bekti Nur Wahyuni Rosidah, Anisa Rulia Nurul Qomariah Salsabilla Ahadiyyah Shabiya Hasna Prastyla Shinta Marchiana Safara Suyatman Suyatman Syafiqa Lindu Permata SYAHID, IBNU AMIRUS Utami Fitriani Vera Kumala Sari Wiwin Astuti Wiwin Astuti Zahra Nabila Bilqis, Zahra Nabila Bilqis

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