A Symplectic Numerical Method for the Sixth Order Boussinesq Equation

Autor: Natalia Kolkovska, Veselina Vucheva
Rok vydání: 2021
Předmět:
Zdroj: Advanced Computing in Industrial Mathematics ISBN: 9783030716158
Popis: We propose a symplectic finite difference scheme for the Boussinesq equations with sixth order dispersion terms. This scheme conserves exactly the discrete mass and approximately with error \(O(h^2+\tau ^2)\) the discrete Hamiltonian. The numerical experiments for quadratic and cubic nonlinearity confirm the theoretical results.
Databáze: OpenAIRE