Lattice Boltzmann Model for Nonlinear Heat Equations

Autor:	Jiankang Liu, Zhoushun Zheng, Qiaojie Li, Shuang Wang
Rok vydání:	2012
Předmět:	Nonlinear system symbols.namesake Partial differential equation Independent equation Differential equation Integro-differential equation Mathematical analysis Lattice Boltzmann methods symbols Fisher's equation Boltzmann equation Mathematics
Zdroj:	Advances in Neural Networks – ISNN 2012 ISBN: 9783642313455 ISNN (1)
DOI:	10.1007/978-3-642-31346-2_17
Popis:	In this paper, a lattice Boltzmann scheme with an amending function for the nonlinear heat equations with the form ∂tφ=α∇2φ+ψ(φ) which directly to solve some important nonlinear equations, including Fisher equation, Newell-Whitehead equation and FitzHugh-Nagumo equation is proposed . Detailed simulations of these equations are performed, and it is found that the numerical results agree well with the analytical solutions or the numerical solutions reported in previous studies.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::388369cf78c86a2f0150bd4c8d2f5782 https://doi.org/10.1007/978-3-642-31346-2_17 Zobrazit plný text záznamu