Lattice Boltzmann Model for High-Order Nonlinear Partial Differential Equations

Baochang Shi, Hanzhong He, Zhaoli Guo

A general lattice Boltzmann (LB) model is proposed for solving nonlinear partial differential equations with the form ${\partial }_t\varphi +{\sum }_{k=1}^m{\alpha }_k{\partial }_x^k{\Pi }_k(\varphi )=0$, wher…