Geodesic
On modification of Samoilenko's numerical-analytic method of solving boundary value problems for difference equations
Applications of Mathematics, Tome 38 (1993) no. 2, pp. 133-144.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In the paper a modification of Samoilenko's numerical analytic method is adapted for solving of boundary value problems for difference equation. Similarly to the case of differential equations it is shown that the considered modification of the method requires essentially less restrictive condition-then the original method-for existence and uniqueness of solution of auxiliary equations which play a crucial role in solving the boundary value problems for difference equations.
DOI : 10.21136/AM.1993.104540
Classification : 39A10, 39A70, 65Q05
Keywords: difference equations; boundary value problems; numerical methods; method of successive approximations 
@article{10_21136_AM_1993_104540,
     author = {Kwapisz, Marian},
     title = {On modification of {Samoilenko's} numerical-analytic method of solving boundary value problems for difference equations},
     journal = {Applications of Mathematics},
     pages = {133--144},
     publisher = {mathdoc},
     volume = {38},
     number = {2},
     year = {1993},
     doi = {10.21136/AM.1993.104540},
     mrnumber = {1202749},
     zbl = {0786.65116},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1993.104540/}
}
TY  - JOUR
AU  - Kwapisz, Marian
TI  - On modification of Samoilenko's numerical-analytic method of solving boundary value problems for difference equations
JO  - Applications of Mathematics
PY  - 1993
SP  - 133
EP  - 144
VL  - 38
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1993.104540/
DO  - 10.21136/AM.1993.104540
LA  - en
ID  - 10_21136_AM_1993_104540
ER  - 
%0 Journal Article
%A Kwapisz, Marian
%T On modification of Samoilenko's numerical-analytic method of solving boundary value problems for difference equations
%J Applications of Mathematics
%D 1993
%P 133-144
%V 38
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1993.104540/
%R 10.21136/AM.1993.104540
%G en
%F 10_21136_AM_1993_104540
Kwapisz, Marian. On modification of Samoilenko's numerical-analytic method of solving boundary value problems for difference equations. Applications of Mathematics, Tome 38 (1993) no. 2, pp. 133-144. doi : 10.21136/AM.1993.104540. http://geodesic.mathdoc.fr/articles/10.21136/AM.1993.104540/

Cité par Sources :