Journal of Nonlinear Mathematical Physics

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Volume 8, Issue 3, August 2001, Pages 313 - 324

Solving the Difference Initial-Boundary Value Problems by the Operator Exponential Method

Authors
I.M. Nefedov, I.A. Shereshevskii
Corresponding Author
I.M. Nefedov
Received 19 September 2000, Revised 15 February 2001, Accepted 22 March 2001, Available Online 1 August 2001.
DOI
10.2991/jnmp.2001.8.3.1How to use a DOI?
Abstract

We suggest a modification of the operator exponential method for the numerical soling the difference linear initial boundary value problems. The scheme is based on the representation of the difference operator for given boundary conditions as the peturbation of the same operator for periodic ones. We analyze the error, stability and efficiency of the scheme for a model example of the one-dimensional operator of second difference.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
8 - 3
Pages
313 - 324
Publication Date
2001/08/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2001.8.3.1How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

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TY  - JOUR
AU  - I.M. Nefedov
AU  - I.A. Shereshevskii
PY  - 2001
DA  - 2001/08/01
TI  - Solving the Difference Initial-Boundary Value Problems by the Operator Exponential Method
JO  - Journal of Nonlinear Mathematical Physics
SP  - 313
EP  - 324
VL  - 8
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2001.8.3.1
DO  - 10.2991/jnmp.2001.8.3.1
ID  - Nefedov2001
ER  -