Numerical method for a Cauchy problem for multi-dimensional Helmholtz equation

The main focus of this research is to address the Cauchy problem of the multi-dimensional Helmholtz equation with mixed boundary conditions. This problem is known to be ill-posed according to Hadamard's definition. To tackle this issue, we propose the mollification regularization method based o...

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Bibliographic Details
Main Authors: Xianli Lv, Xiufang Feng
Format: Article
Language:English
Published: Taylor & Francis Group 2024-12-01
Series:Applied Mathematics in Science and Engineering
Subjects:
Online Access:https://www.tandfonline.com/doi/10.1080/27690911.2024.2321450