A recursive finite-difference lattice Boltzmann model for the convection-diffusion equation with a source term

In this letter, we propose a recursive finite-difference lattice Boltzmann model for the convection-diffusion equation (CDE) with a source term. The present model is derived directly from the evolution equation of the lattice Boltzmann (LB) method, and can correctly recover the CDE through the Taylor expansion. Compared with the classical LB method, the present model only involves one macroscopic variable, and thus requires less memory. We then conduct some numerical experiments. The results show that the present model could achieve comparable results to the LB method, and would be more accurate through adjusting some parameters properly. (C) 2022 Elsevier Ltd. All rights reserved.