A class of periodic integral equations with numerical solving by a fully discrete projection method

• Published in: Український математичний вісник
• Date: 2014
• Main Authors: Solodky, S.G., Semenova, E.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/124468
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A class of periodic integral equations with numerical solving by a fully discrete projection method / S.G. Solodky, E.V. Semenova // Український математичний вісник. — 2014. — Т. 11, № 3. — С. 400-416. — Бібліогр.: 9 назв. — англ.

For a class of integral periodic equations of the first kind the problem of stable approximate solving is considered. The error estimates in the metric of Sobolev spaces for a fully discrete projection method with two discretization parameters are established. For choosing the level of discretizatio...