Adomian's decomposition method for eigenvalue problems

Yee Mou Kao, T. F. Jiang

Research output: Contribution to journalArticle

8 Citations (Scopus)

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 languageEnglish
Article number036702
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume71
Issue number3
DOIs
Publication statusPublished - 2005 Mar 1

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Adomian Decomposition Method
boundary value problems
Eigenvalue Problem
iteration
eigenvalues
decomposition
series expansion
Inverse Iteration
partitions
eigenvectors
Inverse Method
nonlinearity
Excited States
Iteration Method
Series Expansion
Ground State
ground state
Initial Value Problem
Eigenfunctions
Boundary Value Problem

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

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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 journalArticle

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