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

Author(s):

Mahboubeh Tavakoli Tameh , Fatemeh Shakeri *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:

Difference potentials , Finite Difference Method , Spectral method , Interface problems

Language:
English
Published:
AUT Journal of Mathematics and Computing, Volume:5 Issue: 1, Winter 2024
Pages:
27 to 38
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