Please use this identifier to cite or link to this item:
Title: Parameter estimation for nonlinear diffusion problems by the constrained homotopy method
Authors: Liu, Tao
Ding, Zijian
Yu, Jiayuan
Zhang, Wenwen
Keywords: Science::Mathematics
Issue Date: 2023
Source: Liu, T., Ding, Z., Yu, J. & Zhang, W. (2023). Parameter estimation for nonlinear diffusion problems by the constrained homotopy method. Mathematics, 11(12), 2642-.
Journal: Mathematics 
Abstract: This paper studies a parameter estimation problem for the non-linear diffusion equation within multiphase porous media flow, which has important applications in the field of oil reservoir simulation. First, the given problem is transformed into an optimization problem by using optimal control framework and the constraints such as well logs, which can restrain noise and improve the quality of inversion, are introduced. Then we propose the widely convergent homotopy method, which makes natural use of constraints and incorporates Tikhonov regularization. The effectiveness of the proposed approach is demonstrated on illustrative examples.
ISSN: 2227-7390
DOI: 10.3390/math11122642
Schools: School of Electrical and Electronic Engineering 
Rights: © 2023 The authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// 4.0/).
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:EEE Journal Articles

Files in This Item:
File Description SizeFormat 
mathematics-11-02642.pdf400.86 kBAdobe PDFThumbnail

Citations 50

Updated on Jul 23, 2024

Page view(s)

Updated on Jul 23, 2024


Updated on Jul 23, 2024

Google ScholarTM




Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.