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Vol 7 No 2 (2013): BAREKENG : Jurnal Ilmu Matematika dan Terapan
Articles

SOLUSI NUMERIK PERSAMAAN GELOMBANG KORTEWIEG DE VRIES (KDV)

Francis Y. Rumlawang
Jurusan Matematika FMIPA Universitas Pattimura
Published December 1, 2013
Keywords
  • Kortewieg de Vries, numerical solution, wave equation
How to Cite
[1]
F. Rumlawang, “SOLUSI NUMERIK PERSAMAAN GELOMBANG KORTEWIEG DE VRIES (KDV)”, BAREKENG: J. Math. & App., vol. 7, no. 2, pp. 1-7, Dec. 2013.

Abstract

One of KdV wave form is ð‘¢ð‘¡ + 6ð‘¢ð‘¢ð‘¥ + ð‘¢ð‘¥ð‘¥ð‘¥ = 0. This paper deals with finding numerical solutions of KdV’s equation which form a running wave ð‘¢(ð‘¥, ð‘¡) = ð‘¢(𑥠− ðœ†ð‘¡), by using Stepeest Descent
Method which is charged on Hamilton ð»(ð‘¢) and Momentum ð‘€(ð‘¢). By using MAPLE software, we obtain numerical solutions of KdV equation in the form of running wave profile

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References

Boyke W.E.,DiPrima .R.C., 1992. Elementary Differential Equations and Boundary Value Problem,5th Edition, Willey, NewYork.
Suwono, E, 2002, Worksheet MAPLE Sistem Dinamik, ITB, Bandung
Coombers,K.R.,et al,1997 Differential Equation with MAPLE, 2nd Edition,John Wiley and Son, NewYork