caa a22 4500 606217436 CHVBK 20210128101107.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10598-015-9261-6 doi (NATIONALLICENCE)springer-10.1007/s10598-015-9261-6 Comparison of Solution Methods for the Boundary Function Equation [Elektronische Daten] [V. Nefedov, D. Filippychev] We consider a second-order differential equation that describes the behavior of the "boundary function” — the zeroth-order boundary function of the asymptotic boundary function method. The dual operator formalism is applied to this equation. The result is an approximate solution of the problem that satisfies the boundary conditions on both boundaries. The boundary function obtained in this way is compared with the results of numerical solution of the exact differential equation. Springer Science+Business Media New York, 2015 asymptotic behavior nationallicence differential equation nationallicence dual operator nationallicence boundary function nationallicence "plasma-sheath” problem nationallicence plasma potential nationallicence Nefedov V. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia aut Filippychev D. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia aut Computational Mathematics and Modeling Springer US; http://www.springer-ny.com 26/2(2015-04-01), 135-143 1046-283X 26:2<135 2015 26 10598 https://doi.org/10.1007/s10598-015-9261-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10598-015-9261-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Nefedov V. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia aut NATIONALLICENCE 700 1- Filippychev D. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia aut NATIONALLICENCE 773 0- Computational Mathematics and Modeling Springer US; http://www.springer-ny.com 26/2(2015-04-01), 135-143 1046-283X 26:2<135 2015 26 10598