Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie
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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2012, Issue 11, Pages 88–100 (Mi vyuru49)  
Mathematical Modelling

On Decomposition of Difference Schemes for Numerical Solution of Differential Algebraic Equations

V. F. Chistyakova, E. A. Tairovb, E. V. Chistyakovaa, A. A. Levinb

a Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences (Irkutsk, Russian Federation)
b Melentiev Energy Systems Institute of Siberian Branch of the Russian Academy of Sciences (Irkutsk, Russian Federation)
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Abstract: We consider quasi-linear systems of ordinary differential equations (ODE) with identically singular matrix multiplying the derivative of the desired vector-function and difference scheme for their numerical solution. We discuss conditions that make it possible to solve algebraic (finite-dimensional) equations at each step of numerical process and substitute the solutions obtained into the dynamics equations. Results of numerical solution of ODE systems modeling direct-flow boiler unit are given.
Keywords: differential-algebraic equations, index, difference schemes, mathematical models, direct-flow boiler.
Received: 19.12.2011
Document Type: Article
UDC: 517.518
Language: Russian
Citation: V. F. Chistyakov, E. A. Tairov, E. V. Chistyakova, A. A. Levin, “On Decomposition of Difference Schemes for Numerical Solution of Differential Algebraic Equations”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, no. 11, 88–100
Citation in format AMSBIB
\Bibitem{ChiTaiChi12}
\by V.~F.~Chistyakov, E.~A.~Tairov, E.~V.~Chistyakova, A.~A.~Levin
\paper On Decomposition of Difference Schemes for Numerical Solution of Differential Algebraic Equations
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2012
\issue 11
\pages 88--100
\mathnet{http://mi.mathnet.ru/vyuru49}
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