A multi-scale analysis for advection-diffusion equation with rapidly oscillatory coefficients

Fang Su, Zhan Wei Xu · IOP Conference Series Materials Science and Engineering · 2018

This paper presents a second-order and two-scale computation method of initial-boundary value problem for advection-diffusion equation with rapidly oscillating coefficients. The proposed method can greatly save computer memory and CPU time, and it possesses good precision at the same time. The numerical results demonstrate that the presented method is effective and reliable.

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