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Journal : Parameter: Jurnal Matematika, Statistika dan Terapannya

COMPARATIVE ANALYSIS OF NUMERICAL SOLUTIONS OF EULER, RK-4, ABM-4 AND RKCOM4 METHODS OF INITIAL VALUE PROBLEMS IN NONHOMOGENEOUS SECOND ORDER DIFFERENTIAL EQUATIONS Lesnussa, Yopi Andry; Marsudi, Marsudi
Parameter: Jurnal Matematika, Statistika dan Terapannya Vol 4 No 1 (2025): Parameter: Jurnal Matematika, Statistika dan Terapannya
Publisher : Jurusan Matematika FMIPA Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/parameterv4i1pp123-140

Abstract

Non-homogeneous second-order differential equations are often used in various mathematical models in physics, engineering, and system dynamics. Numerical solutions are the main alternative when analytical solutions are difficult to obtain. This study compares the performance of the Euler, Runge-Kutta 4th order (RK-4), Adams-Bashforth-Moulton 4th order (ABM-4), and Runge-Kutta Contra Harmonic Mean 4 (RKCoM4) numerical methodsin solving initial value problems (MNAs) in non-homogeneous second-order differential equations. The analysis was carried out by comparing the numerical calculation results of each method using the Mean Absolute Error (MAE) method. The results of numerical calculations and simulations show that the RK-4 and ABM4 methods provide higher accuracy than the Euler and RKCoM4 methods for 2 cases of non-homogeneous second-order differential equations
Co-Authors Abadi , Totok Wahyu Abdillah, Akhmad Saeaji Abdul Basyid Abriyoso, Octojaya Abubakar Alwi Affifuddin, Maulana Agustina Ahmad Fitri, Afit Alfarobi, Alam Alfi Hendri Alfianto, Dean Andi AlHuzni, Muhammad Fajrul Amin Ali, Okada Alinata, Rusydi Hafidz Ambarwati, Lilis Ananda Putri Sephiani Anastasia, Mutiara Syafira Andoyo Supriyantono Anggara, Bhisma Rizqi Anggia Sekar Putri Arief, Faharia Arifin Arifin Armansyah Armansyah Atmojo, R. Bambang Sri Bambang Nugroho Basri Basri Buwana, Misbakh Aji Cahyani, Annisa Putri Daniella, Nadya Deka Uli Fahrodi Dewi Artha Hutasoit Dewi, Nur Azizah Shinta Dianita Ratna Kusumastuti Dliyaulhaq, Muhammad Afi edy subali, edy Eko Murti Saputra enie hendrajati, enie Erna Retna Rahadjeng Essy Viona Sihombing F Widhi Mahatmanti Fadly Rizaldy Fatahuddin, Fatahuddin Fauzar, Selvi Fauzia Fauzia Ferbian Milas Siswanto Fiqri, Nizal Muhamad Firmansyah, Aditya Sukma Fitrani, Rahmadhania Dwi Gading, Besse Mahbuba We Tenri Ghoffar Ismail Goro, Garup Lambang Gusti Zulkifli Mulki Handayani, Nurafsah Sri Harfiyanto, Eko I Ketut Ardana Imran Ilyas Ina T, Nur Irma Susanti S Isnah, Encik Savira Isnani Darti Jatilinuar, Setya Rahdiyatmi Kurnia Juliati, Ratih Kartika Nuswantara Kasmiati Kasmiati Kirani, Padma Aurelia Krisnawati, Vira Hari KURNIA KURNIA, KURNIA Lestari, Nor Puji Mabui, D. S. mahanani, Agni Ayudha Mangastuti, Rebecca Sidhapramudita Martono Martono Maryati Maryati Mayarianty, Mayarianty Muhammad Azhar Muhammad Azmi Muhammad Irfan Muhammad Mu’azamsyah Muharmita, Sri Muqtafin, Muqtafin MURSIDI MURSIDI, MURSIDI Nanik Wijayati Ni Wayan Suarmini, Ni Wayan Niken Prasetyawati, Niken Nor Indriyanti Novianti Novianti Nur Rahmah Nur Saidah Said Nur Saidah Said, Nur Saidah Nur Setiaji Pamungkas, Nur Setiaji Nurhayati Nurhayati Nurman Nurman Nurullah, Muhammad Ainun Rosyid Nurwanto Nurwanto Oktaviani, Fitri Pangesti, Rendy Dwi Partino, H.R. Prabowo, Dhanar Dwi Praharseno, Fikri Pratiwi, Khana Fitri Pratondo, Kalistya Rizki Prayoga Dwi Guna Priyatna, Inayah Kamilah Putri, Anggia Sekar QUDRATUDDARSI, HILMAN R. Iqbal Robbie Rabinah, Aiun Hayatu Radja, Irwan Manik Rahayu Lestari Rahmad Wijaya Rahman, Nur Setyo Raja Hardiansyah Ramadhan, Afghani Trisna Rifqi Aulia Abdillah, Rifqi Aulia Roni Bawole Roselina Rahmawati S.T., M.T., DEDI BUDI SETIAWAN Sahabir, Putri Rosmerry Retno Salmin Dengo Saputra, Eko Murti Sari, Anggi Donita Satria, Ade Savitri, Eka Dian Sephiani, Ananda Putri Septaningsih, Andi Citra Sineri, Anton Siti Aisyah siti zahrok, siti Sobri Abusini Sri Wahyuni Stefanus Santosa Sudirman Sudirman Sugiyanto, Gilang Bentra Sukmawati Sukmawati Sukoco, Hendro Sulaiman, Sriwahyuningsih Sultani, Zofrano Ibrahimsyah Magribi Suparman Suparman Supriyo Supriyo Suriansyah, Suriansyah Suroso Suroso Syafnur, M. Syafrudin Raharjo Syaiful Anam Taufik Dunialam Khaliq Tiara, Zakyyah Medina Trisilowati Trisilowati, Trisilowati Triwardaya Triwardaya, Triwardaya Umar, Nazaruddin Vemi Widoanindyawati Wahyudin Wahyudin Wargi, Faruq Setya Weningtyas, Hesti Yopi Andry Lesnussa Yuritanto, Yuritanto Yuriyanto, Yuriyanto Yusrizal Yusrizal