ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)
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9
Issue
vol 60 / SEPTEMBER, 2017
Article
UDC 629.191

SYNTHESIS OF ITERATIVE ALGORITHMS OF SOLUTION OF BOUNDARY VALUE PROBLEMS AND NONLINEAR EQUATIONS

V. I. Mironov
St. Petersburg Institute for Informatics and Automation of the Russian Academy of Sciences; Professor, Leading Scientist


Y. V. Mironov
St. Petersburg Institute of Informatics and Automation of the Russian Academy of Sciences; Senior Scientist


R. M. Yusupov
St. Petersburg Institute of Informatics and Automation of the Russian Academy of Sciences; Professor


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Abstract. A method is proposed for synthesis of iterative algorithms of solution of nonlinear boundary value problems and equations. The method employs approximated solutions for several simplified model problems. Application of the method for the problem of pulsed control over a space vehicle flight is presented.
Keywords: iterative algorithm, a boundary value problem, nonlinear equations.