Solving Wave Dispersion Equation for Dissipative Media Using Homotopy Perturbation Technique
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 132, Issue 1
Abstract
This investigation develops a third-order explicit approximation to finding the roots of the dispersion relation for water waves that propagate over dissipative media, using homotopy perturbation. The proposed third-order approximation can give an explicit and accurate calculation on the inaccessible roots of the dispersion relation. The homotopy method yields global convergence to the roots. Interestingly, the contours of the domains of attraction of the roots resemble a fractal pattern.
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Information
Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 132 • Issue 1 • January 2006
Pages: 28 - 35
Copyright
© 2006 ASCE.
History
Received: Jun 15, 2004
Accepted: May 4, 2005
Published online: Jan 1, 2006
Published in print: Jan 2006
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