Lattice Boltzmann Model for Time-Fractional NonlinearWave Equations

作     者：Yibo Wang Rui Du Zhenhua Chai 

作者机构：School of MathematicsSoutheast UniversityNanjingJiangsu 210089China School of Mathematics and StatisticsHuazhong University of Science and TechnologyWuhanHubei 430074China 

出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)

年 卷 期：2022年第14卷第4期

页      面：914-935页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(Grant No.11602057)and sponsored by Qing Lan Project 

主　　题：Lattice Boltzmann method time-fractional wave equation time-fractional Klein-Gordon equation time-fractional Sine-Gordon equation 

摘      要：In this paper,a lattice Boltzmann model with BGK operator(LBGK)for solving time-fractional nonlinear wave equations in Caputo sense is ***,the Caputo fractional derivative is approximated using the fast evolution algorithm based on the sum-of-exponentials *** the target equation is transformed into an approximate form,and for which a LBGK model is *** the Chapman-Enskog analysis,the macroscopic equation can be recovered from the present LBGK *** addition,the proposed model can be extended to solve the time-fractional Klein-Gordon equation and the time-fractional Sine-Gordon ***,several numerical examples are performed to show the accuracy and efficiency of the present LBGK *** the numerical results,the present model has a second-order accuracy in space.