Difference potentials method based on LOD splitting technique for nonlinear convection–diffusion equations with interfaces

	Difference potentials method based on LOD splitting technique for nonlinear convection–diffusion equations with interfaces
AUT Journal of Mathematics and Computing
مقاله 4، دوره 5، شماره 1، 2024، صفحه 27-38 اصل مقاله (539.82 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22060/ajmc.2023.21758.1106
نویسندگان
Mahboubeh Tavakoli Tameh؛ Fatemeh Shakeri^*
Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran
چکیده
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.
کلیدواژه‌ها
Difference potentials؛ Finite difference method؛ Spectral method؛ Interface problems
مراجع

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