Waheed K. Zahra

Professor
waheed.zahra@ejust.edu.eg

Personal Info

01008717355

B8-F2-03

Institute of Basic and Applied Sciences (BAS)

Prof. Zahra received a B.Sc. degree in electronics and communication engineering in 1997 and M.Sc. and Ph.D. degrees in engineering mathematics in 2004 and 2008, respectively, all from Tanta University, Egypt. Currently, Dr. Zahra is a professor of Engineering Mathematics at the Department of Physics and Engineering Mathematics, Faculty of Engineering, Tanta University, and Basic and Applied Sciences (BAS) Institute at Egypt-Japan University of Science and Technology (E-JUST). Dr. Zahra was a Post-doctoral Researcher at the Department of applied mathematics, computer science, and statistics, Universiteit Gent, Belgium. His research interest falls on: Numerical methods (Spline functions, Finite difference, Exponential Fitting, Finite element, Finite volume), analysis, and computation. Computational methods for ordinary, fractional, and partial differential equations. Fractional Calculus and applications.Numerical solution of boundary layer problems. Modeling and simulation to a wide range of applications in engineering and science ( Leaser drilling, solar still, photovoltaic, COVID-19, ....).



Impacted Journal

 

M. Omama, Ayman A. Arafa, Ahmed Elsaid, Waheed K. Zahra, A novel fractional hybrid nanofluid model for blood flow in a stenosed artery with a peripheral plasma layer: Narrowing the gap between Bingham’s model and experiments, Chinese Journal of Physics 96 (2025)

Ibrahim, M.M.M., Kandil, A., Zahra, W.K., Elsaid, A.: Elimination of the vibration center shift in the nonlinear oscillations of a MAGLEV vehicle subjected to steady and unsteady aerodynamic forces: Second-order multiple scales analysis. ZAMM - J. Appl. Math. Mech. / Zeitschrift für Angew. Math. und Mech. 105, e70125 (2025)

Tamer E. Fahim , Sherif I. Rabia , Ahmed H. Abd El-Malek, Waheed K. Zahra,  Minimizing Age of Information in Multi-Class Systems Using an Elapsed-Time-Based Hybrid Service Discipline, IEEE Open Journal of the Communications Society

 M. Khalaf , W.K. Zahra, Fractional modeling with optimized variable order for the thermal impacts of mobile phones on the auricular region, Journal of Thermal Biology 129 ,2025

Mohamed F. El-Sherif, , Sherif I. Rabia,  Ahmed H. Abd El-Malek, , W.K. Zahra, Lyapunov optimization-based power control policy for time-critical applications in a hybrid cognitive radio IoT network,Ad Hoc Networks,https://doi.org/10.1016/j.adhoc.2025.103833

Omama , Ayman A Arafa , A Elsaid and Waheed K Zahra,  numerical analysis of double-fractional PDEs in MHD   hybrid nanofluid blood flow with slip velocity, heat source, and radiation effects, Phys. Scr. 100 (2025) 015288

 Abdelraouf, M.E., Kandil, A., Zahra, W.K., Elsaid, A.: Analyzing MEMS resonator static pull-in and dynamics under electric excitation via position feedback controller. Phys. Scr. 100, 0152a2 (2025)

Mohamed Omama ,  Ayman A. Arafa ,  Ahmed Elsaid,  Waheed K. Zahra, MHD trihybrid nanofluid blood flow in a porous cylinder: Insights from fractional relaxation modeling with thermal radiation and slip velocity boundary condition, ZAMMJournal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik

M Khalaf, AElsaid, S F Hammad,  and W K Zahra, Non-differentiable kernel-based approximation of memory dependent d.erivative for drug delivery applications, Phys. Scr. 99 (2024) 055001

Tamer E. Fahim , Sherif I. Rabia , Ahmed H. Abd El-Malek, Waheed K Zahra, Analyzing the age of information in prioritized status update systems under an interruption-based hybrid discipline, Performance Evaluation 165 (2024) 102415

Abraham Francis, Waheed Zahra, Ahmed El-Said and Ali Kandil: Improvement of the non-periodic behavior of a non-ideal magnetic levitation system by enhancing the internal resonance phenomenon. International Journal of Non-Linear Mechanics,170, March 2025, 104974

Mohamed Barakat, Waheed Zahra, Ahmed Elsaid, A new approach for recovering the gradient and a posteriori error estimates, Computers and Mathematics with Applications 159(2024)202–218

Ahmed N. Elbattrawy , Ahmed H. Abd El-Malek, Sherif I. Rabia, Waheed K. Zahra, Security-reliability trade-off analysis for transmit antenna selection in cognitive ambient backscatter communications, Performance Evaluation, Volume 166, November 2024

Ayman F Hassan , Diaa Abidou, A Elsaid and W K Zahra, Fractional non-Fourier modeling of laser drilling process,Phys. Scr. 99 (2024) 085222

Doaa M Fawzy, Ayman A Arafa, A Elsaid, W K Zahra, Mosquito suppression via Filippov incompatible insect technique, Applied Mathematics and Computation, Volume 480, 1 November 2024, 128908

Mohamed F. El-Sherif, Sherif I. Rabia , Ahmed H. Abd El-Malek , W.K. Zahra,ge of information minimization in hybrid cognitive radio networks under a timely throughput constraint,Performance Evaluation, Volume 164, May 2024

Omama, M., Arafa, A.A., Elsaid, A., Zahra, W.K.: MHD flow of the novel quadruple hybrid nanofluid model in a stenosis artery with porous walls and thermal radiation: A Sisko model-based analysis. Z Angew Math Mech. e202300719 (2024).

Tamer E. Fahim, Sherif I. Rabia,  Ahmed H. Abd El‑MalekWaheed K. Zahra, Enhancing information freshness in multi‑class mobile edge computing systems using a hybrid discipline Computing (2024)

R. Essam, A. Elsaid, W.K. Zahra, Significance of skin vasodilation for bioheat transfer within transiently heated skin tissue, International Journal of Thermal Sciences,196, 2024, 108749

R. Essam, A. Elsaid, W.K. Zahra, Insights from the Weinbaum-Jiji framework: Examining time-fractional dual-phase lag models in heat conduction in skin tissues, International Communications in Heat and Mass Transfer 155 (2024) 107584

Ismail, M.Zahra, W.K.Hassan, H., Numerical investigation of the air conditioning system performance assisted with energy storage of capsulated concave/convex phase change material, Journal of Energy Storage, 2023, 68, 107651

Ismail, M.Zahra, W.K.Hassan, H., Experimental study of vapor compression refrigeration system enhanced via tubular heat exchanger incorporating single/dual phase change materials, Case Studies in Thermal Engineering, 2023, 49, 103164

Elbattrawy, A.N.Abd El-Malek, A.H.Rabia, S.I.Zahra, W.K., Model-based Bayesian reinforcement learning for enhancing primary user performance under jamming attack, Ad Hoc Networks, 2023, 148, 103206

Doaa M. Fawzy, A. Elsaid, W. K. Zahra, and Ayman A. Arafa, Qualitative analysis of a Filippov wild-sterile mosquito population model with immigration, Chaos 33, 113101 (2023)

El-Gazar, E.F., Hassan, H., Rabia, S.I. et al. A new fractional Cattaneo model for enhancing the thermal performance of photovoltaic panels using heat spreader: energy, exergy, economic and enviroeconomic (4E) analysis. Environ Sci Pollut Res 30, 105840–105855 (2023). https://doi.org/10.1007/s11356-023-29654-8

Omondi, S.Yoshikawa, A.Zahra, W.K.Fathy, I.Mahrous, A., Alex magnetometer and telluric station in Egypt: First results on pulsation analysis, Advances in Space Research, 2023, 72(3), pp. 711–725

Omondi, S.Yoshikawa, A.Zahra, W.K.Fathy, I.Mahrous, A.,Automatic detection of auroral Pc5 geomagnetic pulsation using machine learning approach guided with discrete wavelet transform, Advances in Space Research, 2023, 72(3), pp. 866–883

Ismail, M.Zahra, W.K.Ookawara, S.Hassan, H., Enhancing the Air Conditioning Unit Performance via Energy Storage of Different Inorganic Phase Change Materials with Hybrid Nanoparticles, JOM, 2023, 75(3), pp. 739–753

Khalaf, M.Elsaid, A.Hammad, S.F.Zahra, W.K., Fractional modeling of drug diffusion from cylindrical tablets based on Fickian and relaxed approaches with in vivo validation, International Journal for Numerical Methods in Biomedical Engineering, 2023

Ismail, M.Zahra, W.K.Ookawara, S.Hassan, H., Boosting the air conditioning unit performance using phase change material: Impact of system configuration, Journal of Energy Storage, 2022, 56, 105864

M. M. Hikal, M. M. A. Elsheikh a W. K. Zahra, Stability analysis of COVID-19 model with fractional-order derivative and a delay in implementing the quarantine strategy, Journal of Applied Mathematics and Computing, 3,2022

E. F. El-Gazar, Hamdy Hassan, Sherif I. Rabia, W. K. Zahra, Study of the impact of using hybrid nanofluid and saline water preheating on the performance of both integrated solar still and photovoltaic panel using fractional modeling, Eur. Phys. J. Plus (2021) 136:717

EF El-Gazar, WK Zahra, Hamdy Hassan, Sherif I Rabia, Fractional modeling for enhancing the thermal performance of conventional solar still using hybrid nanofluid: Energy and exergy analysis, Desalination, Volume 503, 1 May 2021, 114847

Ahmed Y Zakariya, Sherif I Rabia, WK Zahra, Optimal decision making in multi-channel RF-powered cognitive radio networks with ambient backscatter capability, Computer Network, Volume 189, 22 April 2021, 107907

M. M. Hikal, M. M. A. Elsheikh a W. K. Zahra, Stability analysis of COVID-19 model with fractional-order derivative and a delay in implementing the quarantine strategy, Journal of Applied Mathematics and Computing, 3,2021

W. K. Zahra, Manal M. Hikal, Dumitru Baleanu, Numerical simulation for time‐fractional nonlinear reaction–diffusion system on a uniform and nonuniform time stepping, Mathematical Methods in the Applied Sciences, 2,2021,https://doi.org/10.1002/mma.7114.

Y M Bakier, M Ghali and W K Zahra, Highly sensitive fluorescent detection of pyridine using small size carbon quantum dots derived from folic acid,J. Phys. D: Appl. Phys. 53 (2020) 405103 (10pp)

Y.M. Bakier, M. Ghali, A. Elkun, A.M. Beltagi, W.K. Zahra, Static interaction between colloidal carbon nano-dots and aniline: A novel platform for ultrasensitive detection of aniline in aqueous medium, Materials Research Bulletin 134 (2021) 111119

W.K. Zahra, M.A. Nasr, Dumitru Baleanu, Time-fractional nonlinear Swift-Hohenberg equation: Analysis and numerical simulation, Alexandria Engineering Journal, In press,2020

W. K. Zahra, M. A.Aty, Diaa Abdou, A fractional model for estimating the hole geometry in the laser drilling process of thin metal sheets, Chaos, Solitons and Fractals 136 (2020) 109843

W. K. Zahra, M. A. Nasr, M. Van Daele, Exponentially fitted methods for solving time fractional nonlinear reaction–diffusion equation, Applied Mathematics and Computation, 358: 468-490, 2019.

W. K. Zahra, M. A. Nasr, Exponentially fitted methods for solving two-dimensional time fractional damped Klein-Gordon equation with nonlinear source term, Communications in Nonlinear Science and Numerical Simulation, 2019.

W. K. Zahra, S. M. Elkholy and M. Fahmy, Rational spline-nonstandard finite difference scheme for the solution of time-fractional Swift-Hohenberg equation, Applied Mathematics and Computation, 343, :372-387, 2018.

W. K. Zahra and M. Van Daele, Discrete spline solution of singularly perturbed problem with two small parameters on a Shishkin-type mesh, Comput Math Model, 29,3, 367-381, 2018.

W. K. Zahra and M. V. Daele, Discrete Spline Solution for General Type Variational Problems, Applied Mathematics & Information Sciences,11,3, 659-667,2017.

W.K. Zahra, Trigonometric B-Spline Collocation Method for Solving PHI-Four and Allen–Cahn Equations, Mediterranean Journal of Mathematics,14,13,1-19, 2017.

W. K. Zahra and M.M. Hikal, Non standard finite difference method for solving variable order fractional optimal control problems, Journal of Vibration and Control, Vol. 23(6), 948–958,2017.

W.K. Zahra and M. Van Daele, Discrete spline methods for solving two point fractional Bagley–Torvik equation, Applied Mathematics and Computation 296, 42–56,2017.

W.K. Zahra and Ashraf M. El Mhlawy, Numerical solution of two-parameter singularly perturbed boundary value problems via exponential spline, Journal of King Saud University – Science (2013) 25, 201–208.

Zahra W. K. and Elkholy S. M., Quadratic spline solution for boundary value problem of fractional order, Numer Algor,59:373-391,2012.

Zahra W. K. and Elkholy S. M., The use of cubic splines in the numerical solution of fractional differential equations, International Journal of Mathematics and Mathematical Sciences, vol. 2012, Article ID 638026, 16 pages, 2012. doi:10.1155/2012/638026.

Zahra W.K., Finite-difference technique based on exponential splines for the solution of obstacle problems, International Journal of Computer Mathematics, 88:14, 3046-3060, 2011.

Zahra W.K., A smooth approximation based on exponential spline solutions for nonlinear fourth order two point boundary value problems, Applied Mathematics and Computation 217, 8447-8457,2011.

Zahra W.K., Exponential spline solutions for a class of two point boundary value problems over a semi-infinite range, Numer Algor 52,561–573,2009.

Ramadan M .A., Lashien I.F. and Zahra W.K., Quintic Nonpolynomial Spline Solutions for Fourth Order Boundary Value Problem, Communication in Nonlinear Science and Numerical Simulation 14,1105-1114,2009.

Ramadan M .A., Lashien I.F. and Zahra W.K., A class of Methods Based on a Septic Nonpolynomial Spline Function for the Solution of Sixth Order Two Point Boundary Value Problems, International Journal of Computer Mathematics, 85,759-770,2008.

Ramadan M .A., Lashien I.F. and Zahra W.K., High Order Accuracy Non-Polynomial Spline Solutions for 2 th Order Two Point Boundary Value Problems, Applied Mathematics and Computation,204,920-927,2008.

Ramadan M .A., Lashien I.F. and Zahra W.K., Polynomial and Nonpolynomial Spline Approaches to the Numerical Solution of Second Order Boundary Value Problems, Applied Mathematics and Computations 184,476-484,2007.


International Conference

Tamer E. Fahim,  Ahmed H. Abd El‑Malek, Waheed K. Zahra, Sherif I. Rabia, Optimizing Age of Information for Energy Harvesting Systems Using an Energy-Aware Hybrid Preemptive/Non-Preemptive Discipline, The 31st IEEE International Conference on Telecommunications - ICT 2025 IEEE ComSoc Technical Sponsorship Hotel Splendid, Budva, Montenegro, 28th to 29th April 202

Mohamed F. El-Sherif, Sherif I.Rabia, Ahmed H. Abd El-Malek, W.K. Zahra, Packet Drop Rate Minimization with AoI Constraint in Energy-Harvesting Cognitive Radio Network, in: Proc. IEEE Veh. Technol. Conf. (VTC2024-Fall)

Ahmed N. Elbattrawy, Ahmed H. Abd El-Malek, Sherif I. Rabia, Waheed K. Zahra, “Secrecy Performance of Joint Antenna and User Selection in Cognitive Ambient Backscattering Communications,” IEEE 100th  Vehicular Technology Conference

T. E. Fahim, S. I. Rabia, A. H. El-Malek, and W. K. Zahra, “Age of Information Optimization Using a Hybrid Preemptive/Non-Preemptive Discipline”, 2024 IEEE 100th Vehicular Technology Conference (VTC2024-Fall), Washington DC, USA

A. C. Francis, A. Kandil, A. El-Said and W. K. Zahra: Investigation of the weight effect on the oscillations of a magnetically-levitated body coupled to an energy harvester. 14th International Conference on Applied Physics and Mathematics (ICAPM 2024), 10-12 April,2024, Taipei, Taiwan.

M. E. Abdelraouf, A. Kandil, W. K. Zahra and A. Elsaid: Investigation of a MEMS resonator model with quintic nonlinearity. Accepted. 14th International Conference on Applied Physics and Mathematics (ICAPM 2024), 10-12 April, 2024, Taipei, Taiwan

W. K. Zahra and M. Van Daele, Uniformly convergent discrete spline scheme on a Shishkin mesh for the singular perturbation boundary value problem, Proceedings of the 15th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2015, pp. 1261-1268, 6-10 July, 2015.

W. K. Zahra,W. A. Ouf and M. S. El-Azab, B-spline soliton solution of fifth-order KDV type equations, AIP conference proceedings 1558,568,2013, DOI:10.1063/1.4825554. 

 Ali Mehrez, Ahmed Hamza H. Ali, W. K. Zahra, S. Ookawara, M. Suzuki, Study on Heat and Mass Transfer during Urea Prilling Process, third international conference on chemical engineering and applications (CCEA 2012) October 27-28,2012, Hong Kong.

 


Funded Research Grants

A.S. Hamada, M.A. Hassan, Mohamed Harhash, W. K. Zahra, Diaa Abidou: Development and production of ultra-high strength Composite-Based Sandwich structure steel/polymer for automotive applications.


Non Impacted Journal

W. K. Zahra and M. M. Hikal, Variable Order Fractional Permanent Magnet Synchronous Motor Dynamical Analysis and Numerical Simulation, Journal of the Egyptian Mathematical Society, Volume (26) - Issue (2) – 2018, DOI: 10.21608/joems.2018.2709.1033.

W.K. Zahra M.M. Hikal and Taher A. Bahnasy, Solutions of fractional order electrical circuits via Laplace transform and nonstandard finite difference method, Journal of the Egyptian Mathematical Society, 25, 2, 252–261,2017.

W. K. Zahra, W. A. Ouf and M. S. El-Azab, An Effective scheme based on quartic B-spline for the solution of Gardner equation and Harry Dym equation, Communications on Advanced Computational Science with Applications, No. 2 (2016) 1-13, 2016.

W. K. Zahra, W. A. Ouf and M. S. El-Azab, Numerical simulation for the solution of nonlinear Jaulent-Miodek coupled equations using quartic B-spline, Acta Universitatis Apulensis, No. 46/2016 pp. 35-52, doi: 10.17114/j.aua.2016.46.04, 2016.

W. K. Zahra, W. A. Ouf and M. S. El-Azab, Cubic B-Spline Collocation Algorithm for the Numerical Solution of Newell Whitehead Segel Type Equations, Electronic Journal of Mathematical Analysis and Applications, Vol. 2(2) July 2014, No. 10, pp. 81-100.

W. K. Zahra and S. M. Elkholy, Cubic spline solution of Fractional Bagley-Torvik equation, Electronic Journal of Mathematical Analysis and Applications, Vol.1( 2). July 2013, pp. 230-241.

Ali Mehrez, Ahmed Hamza H. Ali, W. K. Zahra, S. Ookawara, M. Suzuki, Study on Heat and Mass Transfer during Urea Prilling Process, International Journal of Chemical Engineering and Applications,3:5,347-353,2012.

Arshad Khan, Zahra W.K., Khandelwal P., Non-polynomial septic splines approach to the solution of fourth-order two point boundary value problems, International Journal of Nonlinear Science,13:3, 363-372,2012.

Zahra, W. K. and Elkholy S. M., Spline Solution for Fourth Order Fractional Integro-Differential Equations, Journal of Fractional Calculus and Applications,Vol. 3(S). July, 11, 2012 (Proc. of the 4th. Symb. of Fractional Calculus and Applications),17, 1–13.

Hossam M. I., Sakr S. Z and Zahra W. K, Quintic Spline Approximation for Linear Fourth Order Two- Point Boundary Value Problem, Journal of Engineering and Applied Science,51,31-46,2004.


National Conference

Zahra W.K., A Smooth Approximation Based on Mixed Spline Solutions for Fourth Order Two Point Boundary Value Problems, 7th General International Engineering Conference, Faculty of Eng., Mansoura Univ.,1-18,2010.

W. K. Zahra, M.M. Hikal and Taher A. Bahnasy, Solutions of Some Fractional Order Electrical Circuits Using Laplace Transform, International conference for mathematics and applications (ICMA15), Cairo, Egypt,27-29 Dec. 2015.

W K Zahra and S M Elkholy, Discrete spline Numerov method for solving Swift-Hohenberg equation, International conference on mathematics, trends and development, ICMTD2017, Cairo, Egypt, 28-30Dec. 2017, by the Egyptian Mathematical Society.

W. K. Zahra and M. A. Nasr, Exponentially fitted methods for solving distributed order time fractional reaction-diffusion equation with a nonlinear source term,International conference for mathematics and applications, ICMA18, Academy of scientific research and technology, Cairo, 5-7 April 2018.

W. K. Zahra, A. E. Shalaby, A. M. Elakhdar,Mixed B-Spline collocation method for variable order fractional sub-diffusion equation,THE SECOND INTERNATIONAL CONFERENCE OF MATHEMATICS, STATISTICS & INFORMATION TECHNOLOGY,2nd ICMSIT-2018, faculty of science, Tanta University.

Courses Teaching

E-JUST

Undergraduate Courses

Mathematics 1,2 for FoE (2017-2019)

Mathematics 1,2 for FIBH(2017-2019)

Applied Numerical Analysis FoE (MTE students) (2019-2020)

Engineering Mathematics FoE (ECE students) (2019-2020)

Computational methods for engineers FoE (ERE students) (2019-2020)

Graduate Courses

Selected topics in applied and computational mathematics (2-018-2019)

Fractional Differential Equations I(2019)

Seminars on advanced topics in applied and computational mathematics I (2019)

Seminars on advanced topics in applied and computational mathematics II (2019-2020)

Project-based learning (2019-2020)

Tanta University

Undergraduate Courses

Linear algebra, Calculus I, Calculus II, Analytical geometry, Ordinary and Partial differential equations, Fourier series, Laplace transform, Complex analysis, Numerical analysis, and Engineering Mechanics.

Graduate Courses

Complex Analysis, Real Analysis, Numerical Methods for Engineers, Numerical Analysis in Electrical Engineering, Computational Methods for Partial Differential Equations, Special Topics in Engineering, Numerical Linear Algebra, Fractional Differential Equations, Finite Element Methods,Finite Volume Methods