Published May 8, 2023
| Version 1.0
Journal article
Open
Reconstructing the right-hand side of a Poisson equation with random noise
Creators
- 1. Department of Mathematics, Faculty of Science, Mersin University, Mersin, Turkey
- 2. Division of Applied Mathematics, Science and Technology Advanced Institute, Van Lang University, Ho Chi Minh City, Vietnam AND Faculty of Applied Technology, School of Engineering, Van Lang University, Ho Chi Minh City, Vietnam
Description
Abstract. An inverse source problem for the Poisson equation is looked at in this article. This is a problem that is poorly posed because even minor changes in the data can result in arbitrarily large changes in the results. We first demonstrate some useful lemmas about our proposed problem before presenting the main results. Then, at that point, we propose a regularization strategy to manage the reverse source issue and get a union rate with random noise.
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lapm.2023v1n1-1.pdf
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