Numerical Estimation of Diffusivity in a Nonhysteretic Infiltration Problem

Authors:
Chung-Ki Cho;Sungkwon Kang;YongHoon Kwon
Affiliations:
Department of Mathematics, Soonchunhyang University, Asan 336-745, South Korea;Department of Mathematics, Chosun University, Gwangju, 501-759, South Korea;Department of Mathematics, Pohang University of Science and Technology, Pohang, 790-784, South Korea
Venue:
Computers & Mathematics with Applications
Year:
2006

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Abstract

Nonhysteretic infiltration in nonswelling soil is modelled by a nonlinear convection- diffusion equation. A parameter estimation scheme for the spatially varying soil water diffusivity is developed and its convergence is proved. A numerical simulation is performed to show the theoretical results.