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- Title
Differential-Difference Equations with Optimal Parameters.
- Authors
Mastryukov, A. F.
- Abstract
The paper considers difference schemes with optimal parameters for solving Maxwell's equations. Using Laguerre transforms, the numerical values of the optimal parameters are determined and differential-difference equations are constructed. Differential-difference equations are solved by the finite-difference method with iterations over small optimal parameters. Optimal second-order difference schemes for one-dimensional and two-dimensional Maxwell's equations are considered. Optimal parameters of difference schemes are given. It is shown that the use of optimal difference schemes leads to an increase in the accuracy of solution.
- Subjects
DIFFERENTIAL-difference equations; FINITE difference method
- Publication
Computational Mathematics & Mathematical Physics, 2023, Vol 63, Issue 11, p2060
- ISSN
0965-5425
- Publication type
Article
- DOI
10.1134/S0965542523110155