Abstract
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 language | English |
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Pages (from-to) | 81-87 |
Number of pages | 7 |
Journal | International Journal of Computer Mathematics |
Volume | 84 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 2007 |
Keywords
- Gross-Pitaevskii equation
- Numerical methods
- Solitary wave solutions
ASJC Scopus subject areas
- Computer Science Applications
- Computational Theory and Mathematics
- Applied Mathematics