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All Journal PROSIDING SEMINAR NASIONAL Jurnal Penelitian Fisika dan Aplikasinya (JPFA) Berkala Fisika Indonesia : Jurnal Ilmiah Fisika, Pembelajaran dan Aplikasinya Journal of Aceh Physics Society Science and Technology Indonesia Indonesian Journal of Science and Education Jurnal RESTI (Rekayasa Sistem dan Teknologi Informasi) Journal of Physics: Theories and Applications Prosiding SNFA (Seminar Nasional Fisika dan Aplikasinya) SELAPARANG: Jurnal Pengabdian Masyarakat Berkemajuan JPF : JURNAL PENDIDIKAN FISIKA Surya Abdimas Jurnal Pendidikan Fisika dan Teknologi Indonesian Journal on Learning and Advanced Education (IJOLAE) Indonesian Review of Physics (IRiP) Indonesian Journal of Electrical Engineering and Computer Science Jurnal Pengabdian Kepada Masyarakat Patikala Jurnal Ilmiah Kampus Mengajar Journal of Novel Engineering Science and Technology Bincang Sains dan Teknologi
Azmi Khusnani
IKIP Muhammadiyah Maumere
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Journal : Jurnal Penelitian Fisika dan Aplikasinya (JPFA)

 1 
The Existence of Fourier Coefficients and Periodic Multiplicity Based on Initial Values and One-Dimensional Wave Limits Requirements Jufriansah, Adi; Khusnani, Azmi; Hermanto, Arief; Toifur, Mohammad; Prasetyo, Erwin
Jurnal Penelitian Fisika dan Aplikasinya (JPFA) Vol 10, No 2 (2020)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jpfa.v10n2.p146-157

Abstract

Physical systems in partial differential equations can be interpreted in a visual form using a wave simulation. In particular, the interpretation of the differential equations used is in the nonlinear hyperbolic model, but in its completion, there are some limitations to the stability requirements found. The aim of this study is to investigate the analytical and numerical analysis of a wave equation with a similar unit and fractal intervals using the Fourier coefficient. The method in this research is to use the analytical solution approach, the spectral method, and the finite difference method. The hyperbolic wave equation's analytical solution approach, illustrated in the Fourier analysis, uses a pulse triangle. The spectral method minimizes errors when there is the addition of the same sample grid points or the periodic domain's expansion with a trigonometric basis. Meanwhile, different ways offer a more efficient solution. Based on the research results, the information obtained is that the Fourier analysis illustrates the pulse triangle use to solve the solution. These results are also suitable for adding sample points to the same spectra. Fourier analysis requires a relatively long time to solve one pulse triangle graph to need another solution, namely the finite difference method. However, its use is still limited in terms of stability when faced with more complex problems.
The Existence of Fourier Coefficients and Periodic Multiplicity Based on Initial Values and One-Dimensional Wave Limits Requirements Adi Jufriansah; Azmi Khusnani; Arief Hermanto; Mohammad Toifur; Erwin Prasetyo
Jurnal Penelitian Fisika dan Aplikasinya (JPFA) Vol. 10 No. 2 (2020)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jpfa.v10n2.p146-157

Abstract

Physical systems in partial differential equations can be interpreted in a visual form using a wave simulation. In particular, the interpretation of the differential equations used is in the nonlinear hyperbolic model, but in its completion, there are some limitations to the stability requirements found. The aim of this study is to investigate the analytical and numerical analysis of a wave equation with a similar unit and fractal intervals using the Fourier coefficient. The method in this research is to use the analytical solution approach, the spectral method, and the finite difference method. The hyperbolic wave equation's analytical solution approach, illustrated in the Fourier analysis, uses a pulse triangle. The spectral method minimizes errors when there is the addition of the same sample grid points or the periodic domain's expansion with a trigonometric basis. Meanwhile, different ways offer a more efficient solution. Based on the research results, the information obtained is that the Fourier analysis illustrates the pulse triangle use to solve the solution. These results are also suitable for adding sample points to the same spectra. Fourier analysis requires a relatively long time to solve one pulse triangle graph to need another solution, namely the finite difference method. However, its use is still limited in terms of stability when faced with more complex problems.
Co-Authors Ade Anggraini Adi Jufriansah Anis Rohadatul Niehlah Anyela Aprianti Arief Hermanto Arief Hermanto Arief Hermanto Colomeischi Aurora Adina Danurdara Setiamukti Dedi Suwandi Wahab Dian Ahdiany Donuata, Pujianti Bejahida Endang Sulastri Erwin Prasetyo Fitri Nur Hikmah Hamzarudin Hikmatiar hikmatiar, hamzarudin Irfan Miftahul Fauzi Ishafit Ishafit Isma Alip John Ayuba Kartika Dewi Rahmawati Konsenius Wiran Wae Kristina Theresia Leto M Taufiqurrahman Moh. Toifur Mohammad Fitri Mohammad Fitri Mohammad Fitri Muhammad Ihsan Mulya Afriyanto Mulya Afriyanto Mulya Afriyanto Mulya Afriyanto Nurdin H. Abd. Rahman S. Nursina Sya'bania Ota Welly Jenni Thalo Ota Welly Jenni Thalo PRASETYO, ERWIN Rahmawati Husein Rizalul Fiqry Sabarudin Saputra Sabarudin Saputra Saharul Saharul Saharul Tria Puspita Sari Wahyuningsih, Wahyuningsih Yanto Yanto Yoman Ribeta Ratu Yohakim Yudhiakto Pramudya Yudhiakto Pramudya Yudhiakto Pramudya Yunita Kristianti Subandi Zulfakriza Zulfakriza