On modification of Samoilenko's numerical-analytic method of solving boundary value problems for difference equations

Marian Kwapisz

Applications of Mathematics (1993)

  • Volume: 38, Issue: 2, page 133-144
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Kwapisz, Marian. "On modification of Samoilenko's numerical-analytic method of solving boundary value problems for difference equations." Applications of Mathematics 38.2 (1993): 133-144. <http://eudml.org/doc/15741>.

@article{Kwapisz1993,
abstract = {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.},
author = {Kwapisz, Marian},
journal = {Applications of Mathematics},
keywords = {difference equations; boundary value problems; numerical methods; method of successive approximations; boundary value problems; difference equations; method of successive approximations},
language = {eng},
number = {2},
pages = {133-144},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On modification of Samoilenko's numerical-analytic method of solving boundary value problems for difference equations},
url = {http://eudml.org/doc/15741},
volume = {38},
year = {1993},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 38
IS - 2
SP - 133
EP - 144
AB - 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.
LA - eng
KW - difference equations; boundary value problems; numerical methods; method of successive approximations; boundary value problems; difference equations; method of successive approximations
UR - http://eudml.org/doc/15741
ER -

References

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