Error control in Adomian's decomposition method applied to the time-dependent Gross-Pitaevskii equation

U. Al Khawaja, Kamel Al-Khaled

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We apply the Adomian decomposition method to the one-dimensional time-dependent Gross-Pitaevskii equation, which describes the evolution of bright solitons. We investigate the behaviour of the error in the solutions obtained by the Adominan method and make a comparison with the exact solution. We obtain a formula for the error as a function of time and the number of Adomian polynomials used.

Original languageEnglish
Pages (from-to)81-87
Number of pages7
JournalInternational Journal of Computer Mathematics
Issue number1
Publication statusPublished - Jan 2007



  • Gross-Pitaevskii equation
  • Numerical methods
  • Solitary wave solutions

ASJC Scopus subject areas

  • Applied Mathematics

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