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

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MR Zbl
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.
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 
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
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