Faculty of Computer Science and Software Engineering;
Huaiyin Institute of Technology;
Huai'an;
China;
Department of Mathematics;
COMSATS University Islamabad;
Park Road Chak Shahzad Islamabad 44000;
Pakistan;
Department of Mathematics;
College of Sciences AIZulfi;
Majmaah University;
A1 Majma'ah;
11952 Saudi Arabia;
Department of Mathematics;
Imam Muhammad ibn Saud Islamic University;
Riyadh 11432;
Saudi Arabia;
Department of Mathematics;
University of the Poonch Rawalakot;
Rawalakot 12350;
Pakistan;
non-similar modeling; second-grade fluid; exponentially stretching surface; local non-similarity; bvp4c;