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Inverse Coefficient Problem for the Fourth-order Beam Equation by the Method of Variational Imbedding

Year: 2025

Type: article

Abstract: This paper presents an inverse problem related to a fourth-order beam equation, where the coefficient at the zeroth-order term is unknown. Based on the simple approximation lemma, we employ a technique known as the method of variational imbedding to establish the existence and uniqueness of a weak solution for a variational problem. Finally, we provide several numerical examples using the finite difference method to demonstrate the efficiency and accuracy of our proposed approach.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20250075

Authors: Jin Wen, Hong-Bo Zheng, Xin-Yi Liu, Xue-Juan Ren

Institutions: Northwest Normal University, East China Normal University, Tarim University

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7083805252

FWCI:

Cites: 28

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