Discretization of quasilinear evolution equations by computer algebra methods
- 作者: Blinkov Y.A.1, Gerdt V.P.2, Marinov K.B.3
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隶属关系:
- Saratov State University
- Laboratory of Information Technologies
- University “Dubna”
- 期: 卷 43, 编号 2 (2017)
- 页面: 84-89
- 栏目: Article
- URL: https://journal-vniispk.ru/0361-7688/article/view/176487
- DOI: https://doi.org/10.1134/S0361768817020049
- ID: 176487
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详细
An algorithmic approach to construction of finite difference schemes on regular grids developed by the first two authors is applied to quasilinear evolution equations in one spatial variable. The approach combines the finite volumes method, numerical integration, and difference elimination, which is done by means of computer algebra. As a concrete example, a difference scheme for the Korteweg-de Vries equation is constructed. This scheme is strongly consistent and absolutely stable. The numerical behavior of the scheme obtained is illustrated by solving a Cauchy problem.
作者简介
Yu. Blinkov
Saratov State University
编辑信件的主要联系方式.
Email: BlinkovUA@info.sgu.ru
俄罗斯联邦, Saratov, 410012
V. Gerdt
Laboratory of Information Technologies
Email: BlinkovUA@info.sgu.ru
俄罗斯联邦, Dubna, Moscow oblast, 141980
K. Marinov
University “Dubna”
Email: BlinkovUA@info.sgu.ru
俄罗斯联邦, Dubna, 141982
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