Adomian decomposition method for approximating the solution of the Korteweg-deVries equation

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25 Citations (Scopus)

Abstract

In this paper, the Adomian decomposition method for solving the nonlinear Korteweg-deVries equation is implemented with appropriate initial conditions. We discuss the case when the problem has either one or more solitons. Some numerical examples are presented.

Original languageEnglish
Pages (from-to)1465-1473
Number of pages9
JournalApplied Mathematics and Computation
Volume162
Issue number3
DOIs
Publication statusPublished - Mar 25 2005

Keywords

  • Adomian decomposition method
  • Adomian polynomials
  • Initial value problem
  • Korteweg-deVries equation

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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