Before revision: A study is presented on the  computation of coupled advection-diffusion-reaction equations by Schwarz waveform relaxation methods. Unlike in most earlier work, which primarily focuses on linear, homogeneous scenarios at the continuous/semi-continuous levels, we deal with the equations that may not be identical in different subdomains and analyze their computation at the full discretization level, plus a discussion on nonlinear equations .
After revision: A study is presented on the computation of coupled advection-diffusion-reaction equations .