Year: 2025
Author: Qianhuan Li, Zhenhua Chai, Baochang Shi
Advances in Applied Mathematics and Mechanics, Vol. 17 (2025), Iss. 2 : pp. 440–453
Abstract
In this work, a new lattice Boltzmann model for a class of viscous wave equation is proposed through the variable transformation, which eliminates the mixed third order partial derivative term of time and space. Some numerical tests are performed to validate the present model, and the results show that the present model has a second-order convergence rate in space.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2022-0226
Advances in Applied Mathematics and Mechanics, Vol. 17 (2025), Iss. 2 : pp. 440–453
Published online: 2025-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Lattice Boltzmann model a class of viscous wave equation nerve conduction equation Chapman-Enskog analysis second-order accuracy.