Difference potentials method based on LOD splitting technique for nonlinear convection–diffusion equations with interfaces
نویسندگان
1 Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran
2 Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran
doi
10.22060/ajmc.2023.21758.1106چکیده
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.
