Year: 2025
Type: article
Abstract: In this paper, we propose two methods for parameter estimation in stochastic Korteweg–de Vries (KdV) equations with unknown parameters. Both methods are based on the numerical discretization of the stochastic KdV equation. Moreover, we further propose an extrapolation-based approach to improve the accuracy of parameter estimation. In addition, for the deterministic case, the convergence and conservation of the fully discrete schemes are analyzed. Both our theoretical analysis and numerical tests indicate the efficiency of the proposed methods for the KdV equations considered.
Source: Axioms
Authors: Zhenyu Lang, Xiuling Yin, Yanqin Liu, Yaru Wang
Institutions: Shandong University of Technology, Dezhou University
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,896
Funder: Dezhou University
OpenAlex ID: W4417124582