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01150 am a22001573u 4500 |
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|a Nazari, Mojtaba
|e author
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|a Salah, Faisal
|e author
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|a Abdul Aziz, Zainal
|e author
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|a Analytic approximate solution for the KdV equation with the homotopy analysis method
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|b Mathematics Journal of Universiti Teknologi Malaysia,
|c 2012.
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|z Get fulltext
|u http://eprints.utm.my/id/eprint/29095/1/MojtabaNazariFaisal2012_Analytic%20ApproximateSolutionfortheKdV.pdf
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|a The homotopy analysis method (HAM) is applied to obtain the analytic approximate solution of the well-known Korteweg-de Vries (KdV) equation The HAM is an analytic technique which provides us with a new way to obtain series solutions of such nonlinear problemsHAM contains the auxiliary parameter ~, which provides us with a straightforward way to adjust and control the convergence region of the series solution. The resulted HAM solution at eighth order approximation is then compared with that of the exact soliton solution of KdV equation, and shown to be in excellent agreement
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|a QA Mathematics
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