Correction to: Scientific Reports https://doi.org/10.1038/s41598-024-62042-x, published online 12 August 2024

In the original version of this Article A. M. Zidan was incorrectly affiliated with ‘Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon’. The correct affiliation is listed below.

Department of Mathematics, College of Science, King Khalid University, P.O. Box: 9004, 61413 Abha, Saudi Arabia.

In addition, the Acknowledgements section contained an error.

“The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through large group Research Project under Grant No. RGP.2/13/44.”

now reads:

“The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through large group Research Project under grant number RGP.2/16/45.”

The original Article has been corrected.