组合KdV方程带修正函数的格子Boltzmann模型  

A Lattice Boltzmann Model with Amending-function for Combined KdV Equation

作　　者：何郁波[1] 马昌凤[2] 梁茜[2] 

机构地区：[1]怀化学院数学系,怀化418008 [2]桂林电子科技大学数学与计算科学学院,桂林541004

出　　处：《应用数学学报》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.

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.

关 键 词：格子BOLTZMANN模型 组合KDV方程 单调性条件 稳定性 

分 类 号：O241[理学—计算数学]