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Zh. Vychisl. Mat. Mat. Fiz., 1998, Volume 38, Number 6, Pages 992–1000 (Mi zvmmf1876)  

This article is cited in 6 scientific papers (total in 6 papers)

The second Painlevé equation in the electrostatic-probe theory: Numerical solutions

A. V. Kashevarov

Central Aerohydrodynamic Institute, Zhukovskii

Full text: PDF file (1313 kB)
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English version:
Computational Mathematics and Mathematical Physics, 1998, 38:6, 950–958

Bibliographic databases:
UDC: 519.6:517.958
MSC: Primary 34B16; Secondary 78A30, 34E15, 35Q53, 65L10, 34M55
Received: 04.10.1996
Revised: 13.01.1998

Citation: A. V. Kashevarov, “The second Painlevé equation in the electrostatic-probe theory: Numerical solutions”, Zh. Vychisl. Mat. Mat. Fiz., 38:6 (1998), 992–1000; Comput. Math. Math. Phys., 38:6 (1998), 950–958

Citation in format AMSBIB
\Bibitem{Kas98}
\by A.~V.~Kashevarov
\paper The second Painlev\'e equation in the electrostatic-probe theory: Numerical solutions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1998
\vol 38
\issue 6
\pages 992--1000
\mathnet{http://mi.mathnet.ru/zvmmf1876}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1646874}
\zmath{https://zbmath.org/?q=an:0962.34016}
\transl
\jour Comput. Math. Math. Phys.
\yr 1998
\vol 38
\issue 6
\pages 950--958


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Taccogna F., Longo S., Capitelli M., “A particle-in-cell/Monte Carlo model of the Ar+ ion collection in He gas by a cylindrical Langmuir probe in the transition regime”, The European Physical Journal Applied Physics, 22:1 (2003), 29–39  crossref  adsnasa  isi  scopus
    2. Kashevarov A.V., “The second Painlevé equation in the electrostatic probe theory: Numerical solutions for the partial absorption of charged particles by the surface”, Technical Physics, 49:1 (2004), 1–7  crossref  zmath  adsnasa  isi  scopus
    3. Clarkson P.A., “Asymptotics of the second Painlevé equation”, Special Functions and Orthogonal Polynomials, Contemporary Mathematics Series, 471, 2008, 69–83  crossref  mathscinet  zmath  isi
    4. A. V. Kashevarov, “Mathieu functions and coulomb spheroidal functions in the electrostatic probe theory”, Comput. Math. Math. Phys., 51:12 (2011), 2137–2145  mathnet  crossref  mathscinet  isi
    5. Fornberg B., Weideman J.A.C., “A Computational Exploration of the Second Painlevé Equation”, Found. Comput. Math., 14:5 (2014), 985–1016  crossref  mathscinet  zmath  isi  scopus
    6. D. Sierra-Porta, “Some algebraic approach for the second Painlevé equation using the optimal homotopy asymptotic method (OHAM)”, Num. Anal. Appl., 11:2 (2018), 170–177  mathnet  crossref  crossref  isi  elib  elib
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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