Volume 8, Issue 3, August 2001, Pages 313 - 324
Solving the Difference Initial-Boundary Value Problems by the Operator Exponential Method
- I M NEFEDOV, I A SHERESHEVSKII
- Corresponding Author
- I M NEFEDOV
Available Online 11 December 2006.
- https://doi.org/10.2991/jnmp.2001.8.3.1How to use a DOI?
- 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.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - JOUR AU - I M NEFEDOV AU - I A SHERESHEVSKII PY - 2006 DA - 2006/12 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 - https://doi.org/10.2991/jnmp.2001.8.3.1 ID - NEFEDOV2006 ER -