Numerical simulation and convergence analysis of a high-order conservative difference scheme for SRLW equation

作者：Hu Jinsong; Zheng Kelong^*; Zheng Maobo

来源：Applied Mathematical Modelling, 2014, 38(23): 5573-5581.

DOI：10.1016/j.apm.2014.04.062

• SRLW equation
• Conservative difference scheme
• Richardson extrapolation
• Stability
• Convergence

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.

• 出版日期2014-12-1
• 单位西南科技大学; 成都理工大学; 西华大学