摘要
采用一种带修正函数的新格子Boltzmann模型模拟了KdV方程,分析了由此得出的迭代格式的单调性和稳定性,得到了格式的单调性条件。在单调性条件下,迭代格式是L1稳定的。数值模拟结果表明该格式是可行的。
A new lattice Boltzmann model with amending-function for KdV equation is presented. 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 L1 norm. Applied the proposed scheme, the solutions of KdV equation are simulated, and numerical results agree with the analytical solutions quite well.
出处
《计算机工程与应用》
CSCD
2012年第27期38-41,共4页
Computer Engineering and Applications
基金
湖南省自然科学基金(No.06JJ5013)
湖南省教育厅重点项目(No.08A503)
怀化学院创新性试验点资助项目
宁夏高等学校科学研究后续项目(No.2009JY006)
北方民族大学自主科研项目(No.2011ZQY025)
