摘要
In this paper, two finite difference schemes are presented for initial-boundary value problems of Regularized Long-Wave(RLW) equation. They all have the advantages that there are discrete energies which are conserved. Convergence and stability of difference solutions with order O(h2+τ2) are proved in the energy norm. Numerical experiment results demonstrate the effectiveness of the proposed schemes.
In this paper, two finite difference schemes are presented for initial-boundary value problems of Regularized Long-Wave（RLW） equation. They all have the advantages that there are discrete energies which are conserved. Convergence and stability of difference solutions with order O（h^2 ＋τ^2） are proved in the energy norm, Numerical experiment results demonstrate the effectiveness of the proposed schemes.
基金
The project supported by the national natural science foundation of China (10471023,10572057)
关键词
RLW方程
微分概形
守恒
收敛
RLW equation
difference scheme
conservation
convergence
