Radial Basis Function Collocation Method for Nonlinear Schrödinger Equations
Autor: | Hung-Sheng Lin, 林宏昇 |
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Rok vydání: | 2012 |
Druh dokumentu: | 學位論文 ; thesis |
Popis: | 100 In this thesis, we study a radial basis function collocation method (RBFCM) for solving time-independent nonlinear Schrödinger equations (NLSE). A RBFCM with continuation algorithm is presented to trace the solution curve of Gross-Pitaevskii equation (GPE) with an angular momentum rotation term that describes a two dimensional rotating Bose-Einstein condensate (BEC) below a critical temperature. The numerical results show that the RBFCM is highly efficient for solving eigenvalue problems due to its exponential error convergence rate. |
Databáze: | Networked Digital Library of Theses & Dissertations |
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