Published May 2008
| Version v1
Journal article
A unified lattice Boltzmann model for some nonlinear partial differential equations
Creators
- 1. State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074 (China)
- 2. Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074 (China)
Description
In this paper, a unified and novel lattice Boltzmann model is proposed for solving nonlinear partial differential equation that has the form DUt + αUUx + βUnUx - γUxx + δ Uxxx = F(x,t). Numerical results agree well with the analytical solutions and results derived by existing literature, which indicates the present model is satisfactory and efficient on solving nonlinear partial differential equations
Availability note (English)
Available from http://dx.doi.org/10.1016/j.chaos.2006.07.023Additional details
Identifiers
- DOI
- 10.1016/j.chaos.2006.07.023;
- PII
- S0960-0779(06)00714-4;
Publishing Information
- Journal Title
- Chaos, Solitons and Fractals
- Journal Volume
- 36
- Journal Issue
- 4
- Journal Page Range
- p. 874-882
- ISSN
- 0960-0779
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39048194
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANALYTICAL SOLUTION; BOLTZMANN EQUATION; CRYSTAL MODELS; NONLINEAR PROBLEMS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; INTEGRO-DIFFERENTIAL EQUATIONS; KINETIC EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS
Optional Information
- Copyright
- Copyright (c) 2006 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.