Open access Journal SINTA 3
ON THE THIRD ORDER SOLUTION OF KdV EQUATION BY USING HOMOTOPY PERTURBATION METHOD
BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 17 No. 2 (2023) · pp. 0609–0614
- ISSN
- 2615-3017, 1978-7227
- Published
- 2023-06-11
- Publisher
- PATTIMURA UNIVERSITY
- Language
- eng
Abstract
In this research we discussed about the solution of the KdV equation using Homotopy Perturbation method. The KdV equation that describing water wave equation solved by using the mixing method between Homotopy and Perturbation method. Homotopy was built with embedding parameter p∈[0,1] which undergoes a deformation process from linear problems to nonlinear problems and the assumed solution of the KdV equation is expressed in the form of a power series p up to the third order. The result show that in each order solution we obtained resonance term. for handling the condition, we used Lindsteadt-Poincare method.the wave number k2 and dispersion relation can be obtained in the second order solution as the effect of using Lindsteadt-Poincare method.
Collaboration network of the authors
40 authors · 114 co-authorship links · 1 across different organisations · showing the 40 most connected
Hover or tap a name to highlight its co-authors. Double-click to open the author's page.
- State University of Semarang
- Ministry of Religious Affairs
- Muhammadiyah University of Makassar
- Affiliation unknown
- Different organisations
- Same organisation
- Affiliation unknown
- Thicker line = more joint articles · bigger circle = more articles
Show as table
| Co-author | Organisation | Joint articles |
|---|---|---|
| Rahayu Budhiati Veronica | Affiliation unknown | 6 |
| Amin Suyitno | Affiliation unknown | 4 |
| Mulyono Mulyono | Affiliation unknown | 3 |
| Arief Agoestanto | Affiliation unknown | 3 |
| Muhammad Kharis | Affiliation unknown | 3 |
| Hardi Suyitno | Affiliation unknown | 3 |
| Rochmad Rochmad | Affiliation unknown | 3 |
| Putriaji Hendikawati | Affiliation unknown | 3 |
| Kristina Wijayanti | Affiliation unknown | 3 |
| Sriati Usman | Affiliation unknown | 2 |
| Anjar Kusuma Dewi | Affiliation unknown | 2 |
| Nadrun Nadrun | Affiliation unknown | 2 |
| Darmawan Darmawan | Affiliation unknown | 2 |
| Masrukan Masrukan | State University of Semarang | 2 |
| Riza Arifudin | State University of Semarang | 2 |
| St. Budi Waluya | Affiliation unknown | 2 |
| Muhammad Zuhair Zahid | Affiliation unknown | 2 |
| Naila Zulfatur Rohmah | Affiliation unknown | 2 |
| Detalia Noriza Munahefi | Affiliation unknown | 2 |
| Dewi Putri Tuah Susila | Affiliation unknown | 1 |
| Abd. Kamarrudin | Affiliation unknown | 1 |
| Moh. Abraham Akbar Eisenring | Affiliation unknown | 1 |
| Mochtar Marhum | Affiliation unknown | 1 |
| Khusnul Khusnul | Affiliation unknown | 1 |
| Mawardin Mawardin | Affiliation unknown | 1 |
| Dela Zahra | Affiliation unknown | 1 |
| Nur Fajria | Affiliation unknown | 1 |
| Budi Budi | Affiliation unknown | 1 |
| Sindi Klodia | Affiliation unknown | 1 |
| Maf'ulah Maf'ulah | Affiliation unknown | 1 |
| Mulky Satria Kamal | Affiliation unknown | 1 |
| Rahmat Agung Wibowo | Affiliation unknown | 1 |
| Desrin Lebagi | Affiliation unknown | 1 |
| Tresia Hartati Upe | Affiliation unknown | 1 |
| Ratnasari Ramlan | Affiliation unknown | 1 |
| Muhajir Muhajir | Ministry of Religious Affairs | 1 |
| Nirwana Nirwana | Muhammadiyah University of Makassar | 1 |
Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.