About the Authors

Mohammad M. Rashidi

mm_rashidi@yahoo.com (MMR); Shirley.Abelman@wits.ac.za (SA)

Affiliations Mechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan, Iran, University of Michigan-Shanghai Jiao Tong University Joint Institute, Shanghai Jiao Tong University, Shanghai, People's Republic of China

Neda Kavyani

Affiliation Sama Technical and Vocational Training College, Islamic Azad University, Malayer Branch, Malayer, Iran

Shirley Abelman

mm_rashidi@yahoo.com (MMR); Shirley.Abelman@wits.ac.za (SA)

Affiliation Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa

Mohammed J. Uddin

Affiliation Department of Mathematics, American International University-Bangladesh, Banani, Dhaka, Bangladesh

Navid Freidoonimehr

Affiliation Young Researchers & Elite Club, Hamedan Branch, Islamic Azad University, Hamedan, Iran

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Analyzed the data: NK SA MJU NF. Wrote the paper: MMR NK SA MJU NF. Performed computation: NK SA MJU NF. Agree with manuscript results and conclusions: MMR NK SA MJU NF. Interaction with PLOS: SA.