Ck. Cho et al., ESTIMATION OF SOIL-WATER DISTRIBUTION - IDENTIFIABILITY AND OBSERVATION DESIGN, Computers & mathematics with applications, 34(12), 1997, pp. 105-120
Identifiability and observation design problems for the Burgers equati
on, a model for the nonhysteretic infiltration in nonswelling soil, ar
e considered. In estimating initial water distribution from a finite s
et of measurements, the identifiability under approximation is proved.
In predicting the water distributions, an algorithm for observation d
esign problems is provided and analyzed with the maximum error bound.
Also, numerical simulations are performed.