Solving wave dispersion equation for dissipative media using homotopy perturbation technique

Hsien-Kuo Chang*, Jin Cheng Liou

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

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. Journal of Waterway, Port, Coastal, and Ocean Engineering

Original languageEnglish
Pages (from-to)28-35
Number of pages8
JournalJournal of Waterway, Port, Coastal and Ocean Engineering
Volume132
Issue number1
DOIs
StatePublished - 1 Jan 2006

Keywords

  • Fractal
  • Perturbation
  • Porous media
  • Water waves
  • Wave dispersion

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