Reconstructing the right-hand side of a Poisson equation with random noise

Authors

  • Yusuf Gurefe Department of Mathematics, Faculty of Science, Mersin University, Mersin, Turkey
  • Le Dinh Long 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

Keywords:

Conformable derivative, Fourier truncation method, Inverse source problem, Sobolev embeddings

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.

Additional Files

Published

08-05-2023

How to Cite

Gurefe, Y., & Dinh Long, L. (2023). Reconstructing the right-hand side of a Poisson equation with random noise. Letters on Applied and Pure Mathematics, 1(1), 1–8. Retrieved from https://lapmjournal.com/index.php/lapm/article/view/lapm.2023v1n1-1

Issue

Vol. 1 No. 1 (2023): Letters on Applied and Pure Mathematics (LAPM)

Section

Research Article

License

Copyright (c) 2023 Letters on Applied and Pure Mathematics

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.