Updates are available Correction dated 2025-11-13
Click to view Correction: https://doi.org/10.1038/s41598-025-23632-5
-
Authors
Habiba, Umme
Zhang, Rongwu
Sarwar, Muhammad Amad
Gong, Yuezheng
- License Information
-
More Information
Article History
Received: 13 May 2025
Accepted: 20 August 2025
First Online: 26 August 2025
Change Date: 13 January 2025
Change Type: Update
Change Details: The original online version of this Article was revised: In the original version of this Article the affiliation ' School of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016' was incorrectly given as ‘School of Mathematics, Nanjing University of Astronautics and Aeronautics, Nanjing 210016.’ The original article has been corrected.
Change Date: 13 November 2025
Change Type: Correction
Change Details: A Correction to this paper has been published:
Change Details: https://doi.org/10.1038/s41598-025-23632-5
Declarations
:
: The authors declare no competing interests.
