Mahmoud A. Zaky

Major :
Numerical Analysis
Researcher ID:
B-2797-2015

Short Biography:

Mahmoud Zaky is an Assistant Professor in Numerical Analysis. Zaky is an Editor of Applied Numerical Mathematics  (Elsevier) and an Associate Editor of the International Journal of Nonlinear Sciences and Numerical Simulation (De Gruyter).  Zaky has worked on a wide variety of topics in which spectral methods, finite difference methods, partial differential equations, and optimal control theory are employed. In addition to studying the fundamental aspects such as convergence, stability, efficiency, and computational accuracy for deciding the utility of the numerical schemes, he has studied various structure-preservation properties of spectral methods.

Research Interest :

• ​​Numerical Analysis
• Fractional Differential Equations
• Optimal Control Theory
• Integral Equations
• Energy Preserving schemes
• Convergence and Stability Analysis
• Spectral Methods

​Five of the most important publications:

• Hendy, A. S., Zaky, M. A., & Macías-Díaz, J. E. (2022). On the dissipativity of some Caputo time-fractional subdiffusion models in multiple dimensions: Theoretical and numerical investigations. Journal of Computational and Applied Mathematics, 400, 113748.
• Zaky, M. A., Hendy, A. S., Alikhanov, A. A., & Pimenov, V. G. (2021). Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: What could possibly go wrong?. Communications in Nonlinear Science and Numerical Simulation, 96, 105672.
• Zaky, M. A., Hendy, A. S., & Macías-Díaz, J. E. (2020). Semi-implicit Galerkin–Legendre spectral schemes for nonlinear time-space fractional diffusion–reaction equations with smooth and nonsmooth solutions. Journal of Scientific Computing, 82(1), 1-27.
• ​Zaky, M. A. (2019). Existence, uniqueness and numerical analysis of solutions of tempered fractional boundary value problems. Applied numerical mathematics, 145, 429-457.
• ​Zaky, M. A. (2019). Recovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutions. Journal of Computational and Applied Mathematics, 357, 103-122.