Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (7): 907-920.doi: https://doi.org/10.1007/s10483-013-1716-8
• 论文 • 上一篇
方志朝 李宏
Zhi-chao FANG, Hong LI
摘要: The mixed covolume method for the regularized long wave equation is developed and studied. By introducing a transfer operator γh, which maps the trial function space into the test function space, and combining the mixed finite element with the finite volume method, the nonlinear and linear Euler fully discrete mixed covolume schemes are constructed, and the existence and uniqueness of the solutions are proved. The optimal error estimates for these schemes are obtained. Finally, a numerical example is provided to examine the efficiency of the proposed schemes.