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Telecommunications and Radio Engineering
SJR: 0.202 SNIP: 0.2 CiteScore™: 0.23

ISSN Druckformat: 0040-2508
ISSN Online: 1943-6009

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v58.i7-8.30
31 pages

The Use of Atomic Functions for Solving Boundary Value Problems of Mathematical Physics

Victor Filippovich Kravchenko
Kotelnikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, 11-7, Mokhovaya St., Moscow 125009, Russia; Bauman Moscow State Technical University, 5, Vtoraya Baumanskaya St., Moscow 105005 Russia; Scientific and Technological Center of Unique Instrumentation, Russian Academy of Sciences, 15, Butlerova St., Moscow 117342, Russia
Vladimir Alexeevich Rvachev
Kharkov Aviation Institute, Kharkov, Ukraine


The use of a new tool of mathematical analysis, so-called atomic functions, for solving boundary value problems for elliptic type partial differential equations arising in different areas of mathematical physics is considered; attention is given to spatial problems in complex-shaped domains; new methods based on atomic functions which allow us to obtain THE approximate solutions with a high order of accuracy, and small time and memory expenditures, are proposed.

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