The coupled viscous Burgers' equations have been an interesting and hot topic in
mathematics and physics for a long time, and they have been solved by many methods. In …

In this article, two new modified variational iteration algorithms are investigated for the
numerical solution of coupled Burgers' equations. These modifications are made with the …

A numerical investigation of the coupled viscous Burgers' equation for very large Reynolds
numbers do not exist in the literature. Coupled viscous Burgers' equations are solved …

An efficient, accurate and robust multiple-relaxation-time (MRT) discrete Boltzmann method
(DBM) is proposed for compressible exothermic reactive flows, with both specific heat ratio …

A multiple-relaxation-time discrete Boltzmann model (DBM) is proposed for multicomponent
mixtures, where compressible, hydrodynamic, and thermodynamic nonequilibrium effects …

在自然界和工程物理领域存在大量的非平衡, 多相等复杂系统和复杂行为. Lattice Boltzmann
(LB) 方法起源于复杂系统复杂行为研究的格子气或元胞自动机模型; 其中, 现代版的Lattice …

This paper aims to seek proper stabilized Galerkin methods for solving the two-dimensional
coupled Burgers' equations at high Reynolds numbers. The stabilization techniques …

In this study, we develop a numerical method for solving the coupled viscous Burgers'
equations based on a backward semi-Lagrangian method. The main difficulty associated …

In this paper, a general propagation lattice Boltzmann model for variable-coefficient non-
isospectral Korteweg–de Vries (vc-nKdV) equation, which can describe the interfacial waves …

In this paper, a general propagation lattice Boltzmann model is proposed for nonlinear
advection-diffusion equations (NADEs), and the Chapman-Enskog analysis shows that the …