1. Engineering Mathematics Dept., Faculty of Engineering, Zagazig University, Zagazig, Egypt
2. Mechanical Engineering Dept., Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia
3. Mechanical Design and Production Dept., Faculty of Engineering, Zagazig University, Zagazig, Egypt
4. Mathematics Dept., Faculty of Science, Zagazig University, Zagazig, Egypt