Stability of a Spline Collocation Difference Scheme for a Quasi-Linear Differential Algebraic System of First-Order Partial Differential Equations
- 作者: Svinina S.V.1
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隶属关系:
- Matrosov Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences
- 期: 卷 58, 编号 11 (2018)
- 页面: 1775-1791
- 栏目: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/179925
- DOI: https://doi.org/10.1134/S0965542518110131
- ID: 179925
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详细
A quasi-linear differential algebraic system of partial differential equations with a special structure of the pencil of Jacobian matrices of small index is considered. A nonlinear spline collocation difference scheme of high approximation order is constructed for the system by approximating the required solution by a spline of arbitrary in each independent variable. It is proved by the simple iteration method that the nonlinear difference scheme has a solution that is uniformly bounded in the grid space. Numerical results are demonstrated using a test example.
作者简介
S. Svinina
Matrosov Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences
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Email: gaidamak@icc.ru
俄罗斯联邦, Irkutsk, 664033
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