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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2009, Volume 12, Number 1, Pages 17–27 (Mi sjvm2)  
On numerical solution of one quasilinear algebraic-differential system by the method of spline-collocation

S. V. Gaidomak

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences
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Abstract: In this paper, a quasilinear algebraic-differential system is considered. For its numerical solution of it the spline-collocation method is used. The theorem on convergence of numerical processes is proved. The results of numerical experiments are presented.
Key words: quasilinear algebraic-differential system, spline-collocation method.
Received: 05.09.2007
Revised: 03.07.2008
English version:
Numerical Analysis and Applications, 2009, Volume 2, Issue 1, Pages 13–23
DOI: https://doi.org/10.1134/S1995423909010029
Bibliographic databases:
UDC: 519.62
Language: Russian
Citation: S. V. Gaidomak, “On numerical solution of one quasilinear algebraic-differential system by the method of spline-collocation”, Sib. Zh. Vychisl. Mat., 12:1 (2009), 17–27; Num. Anal. Appl., 2:1 (2009), 13–23
Citation in format AMSBIB
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\by S.~V.~Gaidomak
\paper On numerical solution of one quasilinear algebraic-differential system by the method of spline-collocation
\jour Sib. Zh. Vychisl. Mat.
\yr 2009
\vol 12
\issue 1
\pages 17--27
\mathnet{http://mi.mathnet.ru/sjvm2}
\transl
\jour Num. Anal. Appl.
\yr 2009
\vol 2
\issue 1
\pages 13--23
\crossref{https://doi.org/10.1134/S1995423909010029}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-65249090298}
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