Numerical method based on the lattice Boltzmann model for the Kuramoto-Sivashinsky equation
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Publication:409004
DOI10.1007/s10915-010-9455-1zbMath1432.76201OpenAlexW1978271123MaRDI QIDQ409004
Lina Ye, Guangwu Yan, Ting-Ting Li
Publication date: 12 April 2012
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-010-9455-1
KdV equations (Korteweg-de Vries equations) (35Q53) Particle methods and lattice-gas methods (76M28) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
Related Items (10)
Two-level implicit high order method based on half-step discretization for 1D unsteady biharmonic problems of first kind ⋮ Two complementary lattice-Boltzmann-based analyses for nonlinear systems ⋮ Efficient lattice Boltzmann models for the Kuramoto-Sivashinsky equation ⋮ Analysis of fuzzy Kuramoto-Sivashinsky equations under a generalized fuzzy fractional derivative operator ⋮ Solution for fractional Kuramoto-Sivashinsky equation using novel computational technique ⋮ Solving 2D damped Kuramoto-Sivashinsky with multiple relaxation time lattice Boltzmann method ⋮ A new 2-level implicit high accuracy compact exponential approximation for the numerical solution of nonlinear fourth order Kuramoto-Sivashinsky and Fisher-Kolmogorov equations ⋮ Lattice Boltzmann model for elastic thin plate with small deflection ⋮ A novel lattice Boltzmann model for fourth order nonlinear partial differential equations ⋮ The solution of the general Kuramoto-Sivashinsky equation using the compact method in conjunction with the ETD (1,3)-Padé scheme
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