Amirkabir University of Technology AUT Journal of Mathematics and Computing 2783-2449 5 1 2024 01 01 Difference potentials method based on LOD splitting technique for nonlinear convection–diffusion equations with interfaces 27 38 5105 10.22060/ajmc.2023.21758.1106 EN Mahboubeh Tavakoli Tameh Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran Fatemeh Shakeri Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran Journal Article 2022 09 12 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. https://ajmc.aut.ac.ir/article_5105_95aaeecb3fa37860e65e546626d12b48.pdf