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 |
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All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics
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Adomian's decomposition method for eigenvalue problems. / Kao, Yee Mou; Jiang, T. F.
In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 71, No. 3, 036702, 01.03.2005.Research output: Contribution to journal › Article
TY - JOUR
T1 - Adomian's decomposition method for eigenvalue problems
AU - Kao, Yee Mou
AU - Jiang, T. F.
PY - 2005/3/1
Y1 - 2005/3/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=37649029385&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=37649029385&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.71.036702
DO - 10.1103/PhysRevE.71.036702
M3 - Article
AN - SCOPUS:37649029385
VL - 71
JO - Physical review. E
JF - Physical review. E
SN - 1539-3755
IS - 3
M1 - 036702
ER -