Lattice Boltzmann method for one and two-dimensional Burgers equation
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DOI: 10.1016/j.physa.2008.04.002
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References listed on IDEAS
- Velivelli, A.C. & Bryden, K.M., 2006. "Parallel performance and accuracy of lattice Boltzmann and traditional finite difference methods for solving the unsteady two-dimensional Burger's equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(1), pages 139-145.
- Horii, Zene, 2005. "Mass transport theory for the Toda lattices, dispersive and dissipative," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 349-378.
- Kudryashov, Nikolai A. & Demina, Maria V., 2007. "Polygons of differential equations for finding exact solutions," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1480-1496.
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Cited by:
- Liu, Fang & Shi, Weiping & Wu, Fangfang, 2016. "A lattice Boltzmann model for the generalized Boussinesq equation," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 331-342.
- Kim, Philsu & Kim, Dojin, 2020. "Convergence and stability of a BSLM for advection-diffusion models with Dirichlet boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 366(C).
- Egidi, Nadaniela & Maponi, Pierluigi, 2016. "Artificial boundary conditions for the Burgers equation on the plane," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 1-14.
- Wang, Huimin, 2016. "A lattice Boltzmann model for the ion- and electron-acoustic solitary waves in beam-plasma system," Applied Mathematics and Computation, Elsevier, vol. 279(C), pages 62-75.
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Keywords
Lattice Boltzmann model; Burgers’ equation; Higher-order moment method;All these keywords.
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