| Autor: |
Vucheva, V., Kolkovska, N. |
| Předmět: |
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| Zdroj: |
AIP Conference Proceedings; 9/26/2022, Vol. 2522 Issue 1, p1-6, 6p |
| Abstrakt: |
In this paper the one-dimensional double dispersion equation is considered. The numerical method used for its solution is based on the representation of the equation as a Hamiltonian system. Replacing the space derivatives with finite differences with fourth order of approximation we derive a semi-discrete finite-dimensional system which is also a Hamiltonian system. A symplectic partitioned Runge-Kutta method with 3-stage Lobatto IIIA and IIIB coefficients is applied for the time discretization. The developed numerical method is symplectic, i.e., its solution preserves the symplectic structure on the discrete level. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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