difference potentials method based on lod splitting technique for nonlinear convection–diffusion equations with interfaces

In this paper, we construct a difference potentials method (dpm) based on the locally one-dimensional (lod) technique to solve the two-dimensional nonlinear convection-diffusion interface problems. the advantage of using the lod scheme is that the linear system resulting from the auxiliary problem has a simpler structure and can be solved efficiently and accurately with less central processor (cpu) time. numerical results validate the robustness, accuracy, and efficiency of the proposed method.