Numerical simulation and convergence analysis of a high-order conservative difference scheme for SRLW equation |
| |
Authors: | Jinsong Hu Kelong Zheng Maobo Zheng |
| |
Affiliation: | 1. School of Mathematics and Computer Engineering, Xihua University, Chengdu 610039, China;2. School of Science, Southwest University of Science and Technology, Mianyang 621010, China;3. Chengdu Technological University, Chengdu 611730, China |
| |
Abstract: | Coupled with the Richardson extrapolation, a new conservative Crank–Nicolson finite difference scheme, which has the accuracy of O(τ2+h4) without refined mesh for the symmetric regularized long wave equation is proposed. The corresponding conservative quantities are discussed, and the existence of numerical solution is proved by the Browder fixed point theorem. The convergence, unconditional stability and uniqueness of the scheme are also derived using the energy method. Numerical results are given to verify the accuracy and the efficiency of proposed algorithm. |
| |
Keywords: | SRLW equation Conservative difference scheme Richardson extrapolation Stability Convergence |
本文献已被 ScienceDirect 等数据库收录! |
|