Solving the difference initial-boundary value problems by the operator exponential method

Authors
Nefedov, IM Shereshevskii, IA
Citation
Im. Nefedov et Ia. Shereshevskii, Solving the difference initial-boundary value problems by the operator exponential method, J NONL M PH, 8(3), 2001, pp. 313-324
Citations number
14
Categorie Soggetti
Physics
Journal title
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
ISSN journal
14029251 → ACNP
Volume
8
Issue
3
Year of publication
2001
Pages
313 - 324
Database
ISI
SICI code
1402-9251(200108)8:3<313:STDIVP>2.0.ZU;2-8
Abstract
We suggest a modi cation of the operator exponential method for the numeric al solving the difference linear initial boundary value problems. The schem e is based on the representation of the difference operator for given bound ary conditions as the perturbation of the same operator for periodic ones. We analyze the error, stability and efficiency of the scheme for a model ex ample of the one-dimensional operator of second difference.