Richardson’s Third-Order Difference Scheme for the Cauchy Problem in the Case of Transport Equation
The Cauchy problem for the regular transport equation is considered. Using Richardson’s technique, a difference scheme of improved accuracy order on three embedded grids is constructed for this problem. This scheme converges in the maximum norm with the third order of convergence rate.
Authors
- L. P. Shishkina (ORCID: https://orcid.org/0000-0002-8489-5432)
- G. I. Shishkin (ORCID: https://orcid.org/0000-0002-6886-8979)
Institutions
- N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences (RU)
- Ural Branch of the Russian Academy of Sciences (RU)
Publication Details
- Journal
- Computational Mathematics and Mathematical Physics
- Published
- 2024-10-01
- DOI
- https://doi.org/10.1134/s0965542524701215
- Primary Topic
- Differential Equations and Numerical Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00