Energy Conservation of Linear Wave Equations on Equilateral Quantum Graphs
We study the conservation of energy of the linear wave equation on an equilateral quantum graph. We equipped the quantum graph with Dirichlet and Neumann-Kirchhoff. We also show that the linear wave’s energy conservation remains relevant on the quantum graph. Moreover, our results are any properties...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2025-01-01
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| Series: | ITM Web of Conferences |
| Online Access: | https://www.itm-conferences.org/articles/itmconf/pdf/2025/06/itmconf_iconmaa25_02001.pdf |
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| _version_ | 1849773067515985920 |
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| author | Burhan Mohammad Januar Ismail Soeharyadi Yudi |
| author_facet | Burhan Mohammad Januar Ismail Soeharyadi Yudi |
| author_sort | Burhan Mohammad Januar Ismail |
| collection | DOAJ |
| description | We study the conservation of energy of the linear wave equation on an equilateral quantum graph. We equipped the quantum graph with Dirichlet and Neumann-Kirchhoff. We also show that the linear wave’s energy conservation remains relevant on the quantum graph. Moreover, our results are any properties of the conservation problem on the quantum graph and simulation that show the energy is conserved using the amplitude of the solution of linear wave equations on each edge. |
| format | Article |
| id | doaj-art-89d0a5faa28a4cab8653b77bbc32fe42 |
| institution | DOAJ |
| issn | 2271-2097 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | ITM Web of Conferences |
| spelling | doaj-art-89d0a5faa28a4cab8653b77bbc32fe422025-08-20T03:02:10ZengEDP SciencesITM Web of Conferences2271-20972025-01-01750200110.1051/itmconf/20257502001itmconf_iconmaa25_02001Energy Conservation of Linear Wave Equations on Equilateral Quantum GraphsBurhan Mohammad Januar Ismail0Soeharyadi Yudi1Mathematics Study Program, Department of Mathematics and Technology Information, Institut Teknologi Kalimantan, Karang JoangDepartment of Mathematics, Faculty of Mathematics and Natural Science, Institut Teknologi BandungWe study the conservation of energy of the linear wave equation on an equilateral quantum graph. We equipped the quantum graph with Dirichlet and Neumann-Kirchhoff. We also show that the linear wave’s energy conservation remains relevant on the quantum graph. Moreover, our results are any properties of the conservation problem on the quantum graph and simulation that show the energy is conserved using the amplitude of the solution of linear wave equations on each edge.https://www.itm-conferences.org/articles/itmconf/pdf/2025/06/itmconf_iconmaa25_02001.pdf |
| spellingShingle | Burhan Mohammad Januar Ismail Soeharyadi Yudi Energy Conservation of Linear Wave Equations on Equilateral Quantum Graphs ITM Web of Conferences |
| title | Energy Conservation of Linear Wave Equations on Equilateral Quantum Graphs |
| title_full | Energy Conservation of Linear Wave Equations on Equilateral Quantum Graphs |
| title_fullStr | Energy Conservation of Linear Wave Equations on Equilateral Quantum Graphs |
| title_full_unstemmed | Energy Conservation of Linear Wave Equations on Equilateral Quantum Graphs |
| title_short | Energy Conservation of Linear Wave Equations on Equilateral Quantum Graphs |
| title_sort | energy conservation of linear wave equations on equilateral quantum graphs |
| url | https://www.itm-conferences.org/articles/itmconf/pdf/2025/06/itmconf_iconmaa25_02001.pdf |
| work_keys_str_mv | AT burhanmohammadjanuarismail energyconservationoflinearwaveequationsonequilateralquantumgraphs AT soeharyadiyudi energyconservationoflinearwaveequationsonequilateralquantumgraphs |