摘要
采用一种带修正函数的新格子Boltzmann模型模拟了组合Kdv方程,分析了由此得出的迭代格式的单调性和稳定性,并且得到了格式的单调性条件.在文中的单调性条件下,迭代格式是L∞稳定的.文中的数值模拟结果表明该格式是可行的.
A new lattice Boltzmann scheme with amending-function for combined KdV equation is presented by using single-relaxation lattice Boltzmann equation. Monotonicity and stability of the scheme are analyzed. The conditions of monotonicity are obtained,under which the stability of the scheme is proved in the L∞norm. Applied the proposed scheme, we simulate the solutions of combined KdV equation, and numerical results agree with the analytical solutions quite well.
出处
《应用数学学报》
CSCD
北大核心
2007年第6期1040-1046,共7页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(10661005)
广西自然科学基金(0640165)资助项目.
