Parameter estimation in the 1-D transport equation with advection
We introduce a stable numerical method for the identification of the diffusion coefficient in a one-dimensional transport equation with advection, when noisy data at the active boundary and initial measured population density are given. This algorithm makes no assumption on the amount and/or character of the noise in the data. Several numerical examples axe supplied to show the consistency of the scheme. (C) 2002 Elsevier Science Ltd. All rights reserved.
identification of parameters mollification finite differences automatic filtering