期刊
APPLIED MATHEMATICAL MODELLING
卷 38, 期 23, 页码 5573-5581出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2014.04.062
关键词
SRLW equation; Conservative difference scheme; Richardson extrapolation; Stability; Convergence
资金
- Scientific Research Fund of Sichuan Provincial Education Department [11Z8009]
- Doctoral Program Research Fund of Southwest University of Science and Technology [11zx7129]
- Applied Basic Research Project of Sichuan Province [2013JY0096]
Coupled with the Richardson extrapolation, a new conservative Crank-Nicolson finite difference scheme, which has the accuracy of O(tau(2) + h(4)) 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. (C) 2014 Elsevier Inc. All rights reserved.
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