Abstract
We extend the Adomian's decomposition method to work for the general eigenvalue problems, in addition to the existing applications of the method to boundary and initial value problems with nonlinearity. We develop the Hamiltonian inverse iteration method which will provide the ground state eigenvalue and the explicit form eigenfunction within a few iterations. The method for finding the excited states is also proposed. We present a space partition method for the case that the usual way of series expansion failed to converge.
Original language | English |
---|---|
Article number | 036702 |
Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
Volume | 71 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2005 Mar 1 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics