Long-time convergence of numerical approximations for 2D GBBM equation


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Resumo

We study the long-time behavior of the finite difference solution to the generalized BBM equation in two space dimensions with dirichlet boundary conditions. The unique solvability of numerical solution is shown. It is proved that there exists a global attractor of the discrete dynamical system. Finally, we obtain the long-time stability and convergence of the difference scheme. Our results show that the difference scheme can effectively simulate the infinite dimensional dynamical systems. Numerical experiment results show that the theory is accurate and the schemes are efficient and reliable.

Sobre autores

Li Shuguang

School of Science

Autor responsável pela correspondência
Email: lsg9008@163.com
República Popular da China, Harbin, 150001

Wang Jue

School of Science

Email: lsg9008@163.com
República Popular da China, Harbin, 150001

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