Solving inverse boundary value problem of Poisson equation by LS-SVM

In this paper, a new method based on least squares support vector machines (LS-SVM) is presented for solving the inverse boundary value problem of Poisson equation. The closed form analytical solution is obtained by optimizing the regression parameters. The core problem is to transform the parametri...

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Bibliographic Details
Published in:Journal of physics. Conference series 2024-09, Vol.2852 (1), p.12005
Main Authors: Huang, Minghao, Wu, Ziku, Han, Xiaoming
Format: Article
Language:English
Subjects:
Algorithms
Boundary value problems
Exact solutions
Poisson equation
Quadratic programming
Support vector machines
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Summary:In this paper, a new method based on least squares support vector machines (LS-SVM) is presented for solving the inverse boundary value problem of Poisson equation. The closed form analytical solution is obtained by optimizing the regression parameters. The core problem is to transform the parametric regression problem into a quadratic programming problem. To demonstrate the efficiency of the proposed algorithm, numerical experiments are conducted. The proposed method is found to be feasible for the inverse boundary value problem of Poisson equation.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/2852/1/012005