Numerical Simulation of Fuzzy Wave-Like Equations with Spatial Variable Coefficients by Lattice Boltzmann Method

Abstract

In this paper, lattice Boltzmann model is used to simulate a class of nonlinear fuzzy wave-like equations with spatial variable coefficients. we recovers the fuzzy wave-like equations by designing the equilibrium state distribution function and using the Chapman-Enskog multi-scale technology. Theoretically, it proves that the computing model is compatible with fuzzy wave-like equations. And based on this, the author further verifies the feasibility and effectiveness of the constructed lattice Boltzmann model by using numerical examples.