Imam Muhammad ibn Saud Islamic University | Saudi Arabia
Ramy Mahmoud Mohamed Hafez is an accomplished mathematician and researcher whose work centers on advancing numerical analysis, scientific computing, and spectral methods. Currently serving as an Associate Professor in the Department of Mathematics at the Faculty of Education, Matrouh University, Egypt, he has built a strong academic career through progressive roles in both Egyptian and international institutions. His earlier appointments include Assistant Professorships at Matrouh University, Beni-Suef University, and AlWajh University College of Tabuk University in Saudi Arabia, where he contributed significantly to mathematics education and research development. He also held key teaching and research roles in the Department of Basic Science at the Modern Academy for Computer Science and Management Technology in Maadi and the Elaasher Men Ramadan Institute of Engineering and Technology. Dr. Hafez’s research focuses on the development and application of spectral methods for solving a wide range of linear and nonlinear differential equations, including ordinary, partial, functional, and fractional differential systems. His contributions involve constructing advanced numerical schemes to address complex scientific problems and enhancing computational efficiency in mathematical modeling. A significant aspect of his work is the creation of new families of orthogonal polynomials inspired by classical bases such as Legendre, Chebyshev, Ultraspherical, and Jacobi polynomials. These contributions support improved accuracy and stability in numerical solutions across diverse applications. Through his scholarly activities, publications, and participation in global research platforms such as ORCID, Google Scholar, and Kaggle, Dr. Hafez continues to influence the fields of numerical mathematics and computational analysis, contributing to advancements in both theory and application.
Profile: Oricd
Featured Publications
1. Hafez, R. M., Abd-Elhameed, W. M., Ahmed, H. M., Abdelkawy, M. A., & Sabir, Z. (2025). An innovative shifted generalized Chebyshev collocation scheme for pantograph-type delay equations. Alexandria Engineering Journal.
2. Mohamed, R. I., Hafez, R. M., Hashem, A. F., & Abdel-Aty, M. (2025). Fractional dynamics of information entropy in quantum wire system under Rashba interaction. Fractal and Fractional.
3. Hafez, R. M., Ahmed, H. M., Alqubori, O. M., Amin, A. K., & Abd-Elhameed, W. M. (2025). Efficient spectral Galerkin and collocation approaches using telephone polynomials for solving some models of differential equations with convergence analysis. Mathematics, 13(6), Article 918.
4. Hafez, R., Haiour, M., Tantawy, S., Alburaikan, A., & Khalifa, H. (2025). A comprehensive study on solving multitype differential equations using Romanovski–Jacobi matrix methods. Fractals.
5. Brahim, M. S. T., Youssri, Y. H., Alburaikan, A., Khalifa, H., Radwn, T., & Hafez, R. (2025). A refined Galerkin approach for solving higher-order differential equations via Bernoulli polynomials. Fractals.