Transfer of boundary conditions for difference equations
Applications of Mathematics (2000)
- Volume: 45, Issue: 6, page 469-479
- ISSN: 0862-7940
Access Full Article
top
Abstract
topHow to cite
topVitásek, Emil. "Transfer of boundary conditions for difference equations." Applications of Mathematics 45.6 (2000): 469-479. <http://eudml.org/doc/33072>.
@article{Vitásek2000,
abstract = {It is well-known that the idea of transferring boundary conditions offers a universal and, in addition, elementary means how to investigate almost all methods for solving boundary value problems for ordinary differential equations. The aim of this paper is to show that the same approach works also for discrete problems, i.e., for difference equations. Moreover, it will be found out that some results of this kind may be obtained also for some particular two-dimensional problems.},
author = {Vitásek, Emil},
journal = {Applications of Mathematics},
keywords = {difference equation; sparse matrices; boundary value problems; difference equation; sparse matrices; boundary value problem; transfer of boundary conditions; Dirichlet problem; Laplace equation},
language = {eng},
number = {6},
pages = {469-479},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Transfer of boundary conditions for difference equations},
url = {http://eudml.org/doc/33072},
volume = {45},
year = {2000},
}
TY - JOUR
AU - Vitásek, Emil
TI - Transfer of boundary conditions for difference equations
JO - Applications of Mathematics
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 45
IS - 6
SP - 469
EP - 479
AB - It is well-known that the idea of transferring boundary conditions offers a universal and, in addition, elementary means how to investigate almost all methods for solving boundary value problems for ordinary differential equations. The aim of this paper is to show that the same approach works also for discrete problems, i.e., for difference equations. Moreover, it will be found out that some results of this kind may be obtained also for some particular two-dimensional problems.
LA - eng
KW - difference equation; sparse matrices; boundary value problems; difference equation; sparse matrices; boundary value problem; transfer of boundary conditions; Dirichlet problem; Laplace equation
UR - http://eudml.org/doc/33072
ER -
References
top- Lösung der Randwertprobleme von linearen Differentialgleichungen. Rozpravy ČSAV, Řada mat. a přír. věd, Vol. 83, Academia, Praha, 1973. (1973)
- Initial Value Methods for Boundary Value Problems: Theory and Application of Invariant Imbedding, Academic Press, New York, 1973. (1973) Zbl0304.34018MR0488791
- Approximate solution of ordinary differential equations, In: Survey of Applicable Mathematics (K. Rektorys and E. Vitásek, eds.), Kluwer Academic Publishers, Dordrecht, 1994, pp. 478–533. (1994)
- Remark to the problem of transferring boundary conditions in two dimensions, In: Proceedings of the Prague Mathematical Conference 1996, Icaris, Praha, 1997, pp. 337–342. (1997) MR1703984
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.