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PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Document Type

Article

Abstract

Makalah ini mengkaji sistem persamaan air dangkal secara analitis. Dua bentuk sistem persamaan air dangkal dibuktikan ekuivalen. Sifat hiperbolik, karakteristik, gelombang sederhana, pertidaksamaan entropi, dan gelombang shock dipaparkan.

Kata kunci : persamaan air dangkal, sistem hiperbolik, gelombang sederhana,pertidaksamaan entropi, gelombang shock

Page Range

87-100

Issue

2

Volume

5

Digital Object Identifier (DOI)

10.21831/pg.v5i2.548

Source

https://journal.uny.ac.id/index.php/pythagoras/article/view/548

References

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Jakeman, J. 2006. On Numerical Solutions of the Shallow Water Wave Equations. Honours Thesis yang tidak diterbitkan. Canberra: The Australian National University.

LeVeque, R. J. 2002. Finite-Volume Methods for Hyperbolic Problems. Cambridge: Cambridge University Press.

Ritter, A. 1892. Die fortpflanzung der wasserwellen. Zeitschrift des Vereines Deutscher Ingenieure, 36 (33): 947–954.

Saint-Venant, A. J. C. de. 1871. Théorie du mouvement non-permanent des eaux avec application aux crues des rivières et à l’introduction des marées dans leur lit, C. R. Acad. Sci. Paris, 73:147–154.

Stoker, J. J. 1957. Water Waves: The Mathematical Theory with Application. New York: Interscience Publishers.

Wang, X., Cao, Z., Pender, G., & Neelz, S. 2010. Numerical modelling of flood flows over irregular topography. Proceedings of the ICE - Water Management, 163(5):255–265.

Ying, L., Sumida, S., Ceric, M., Yamamoto, K., & Watanabe, M. 2008. Numerical Study of Effects of Tsunami Wave Generated on Nankai Trough. Journal of the Faculty of Environmental Science and Technology, Okayama University, 13(1): 57–62.

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Mathematics Commons

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