Email this article Stability of a Difference Scheme for a Quasi-Linear Partial Differential Algebraic System of Equations of Index (k, 0)
- Authors: Svinina S.V.1, Svinin A.K.1
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Affiliations:
- Matrosov Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences
- Issue: Vol 59, No 4 (2019)
- Pages: 513-528
- Section: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/180497
- DOI: https://doi.org/10.1134/S0965542519040158
- ID: 180497
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Abstract
A quasi-linear partial differential algebraic system of equations of index \((k,0)\) is considered. A spline collocation difference scheme with a split matrix pencil is constructed to numerically solve a system of this kind. The difference scheme has a high accuracy coinciding with the lowest order of the spline approximating the required function. Results of numerical calculations are given.
About the authors
S. V. Svinina
Matrosov Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences
Author for correspondence.
Email: gaidamak@icc.ru
Russian Federation, Irkutsk, 664033
A. K. Svinin
Matrosov Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences
Author for correspondence.
Email: svinin@icc.ru
Russian Federation, Irkutsk, 664033
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