Radial Basis Function Collocation Method for Nonlinear Schrödinger Equations

Autor: Hung-Sheng Lin, 林宏昇
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