Faculty Members

Prof.Essam Roshdy Mostafa ElZahar

Ph.D. in Engineering Mathematics Professor College of Science and Humanity Studies in Alkharj

College of Science and Humanities, Prince Sattam bin Abdulaziz University, Alkharj, Saudi Arabia.
011-588-8151
er.elzahar@psau.edu.sa

Curriculum Vitae
Publications

Education

• Ph. D. in Engineering Mathematics Major : Engineering Mathematics Date Degree Awarded : 25 / 8 / 2008 Faculty / College : Faculty of Engineering , Shebin El-Kom University /Country Menofia University - Egypt • M. Sc. in Engineering Mathematics Major : Engineering Mathematics Date Degree Awarded : 25 / 7 / 2004 Faculty / College : Faculty of Engineering , Shebin El-Kom University /Country Menofia University - Egypt • B. Sc. in Electrical Engineering Major : Electrical Power Date Degree Awarded : 6 / 8 / 1997 Faculty / College : Faculty of Engineering , Shebin El-Kom University / Country Menofia University - Egypt

Research Interests

My main research interests involve
 Algorithms and Computational methods in Solving systems of differential equations
i) Numerical Methods
ii) Semi Analytical-Numerical Methods
 Symbolic computations using Maple & Mathematica
My current research interest is to develop approximate numerical and analytical solutions of ODE problems, especially singular perturbation problems. Singular perturbation problems, also known as stiff problems, arise in many interesting fields of science and engineering, especially in automatic control, chemical and biochemical reactions, electrical circuits, fluid mechanics, solid state physics, atmospheric pollution, etc.

Responsibilities

 Member of the Quality committee, Collage of Science and Humanities, Prince Sattam bin Abdulaziz University, KSA, 2018 until now  Member of the Scientific Research committee, Collage of Science and Humanities, Prince Sattam bin Abdulaziz University, KSA, 2018 until now.  Coordinator of the Scientific Research Awards, Mathematics Department, Collage of Science and Humanities, Prince Sattam bin Abdulaziz University, KSA, 2018 until 2020.  Coordinator of the Statistical Committee, Mathematics Department, Collage of Science and Humanities, Prince Sattam bin Abdulaziz University, KSA, 2016 until 2019.  Member of the Evaluation Committee Developmental, Collage of Science and Humanities, Prince Sattam bin Abdulaziz University, KSA, 2011.  Member of the Development and Quality Committee, Collage of Science and Humanities, Prince Sattam bin Abdulaziz University, KSA, 2011  Coordinator of the Evaluation Committee Developmental, Collage of Science and Humanities, Mathematics Department, Prince Sattam bin Abdulaziz University, KSA,2011  Member of the Higher Committee for Accreditation, Collage of Science and Humanities, Mathematics Department, Prince Sattam bin Abdulaziz University, KSA, 2011-2016  Coordinator of the Development and Quality Committee, Collage of Science and Humanities, Mathematics Department, Salman Bin Abdulaziz University, KSA, 2011-2016.  Member of the team preparing the strategic plan, Collage of Science and Humanities, Mathematics Department, Salman Bin Abdulaziz University, KSA, 2010-2011.  Member of the Coordination Committee tables tests, Collage of Science and Humanities, Mathematics Department, Salman Bin Abdulaziz University, KSA,2011  Member of the Mathematics Department Council, Collage of Science and Humanities, Mathematics Department, Salman Bin Abdulaziz University, KSA,2010 until now.

Publications

Liu, C. S., El-Zahar, E. R., & Chang, C. W. (2026). Periodic problems of unforced/periodically-forced nonlinear oscillators: Theoretical formulation and boundary shape function method. Mechanical Systems and Signal Processing, 244, 113762.
El-Zahar, E. R., Ebaid, A., Seddek, L. F., & Aljoufi. M. D. (2025). Reliable analytical approach to solving delay differential equations with combined proportional and constant delays. AIMS Mathematics, 10(12): 29037-29053. doi: 10.3934/math.20251277.
El-Zahar, E. R., Ebaid, A., Seddek, L. F., & S.M. Khaled. (2025). Solving the 1D neutron diffusion kinetic equation under mixed boundary conditions: Explicit solution, AIMS Mathematics, 10(11): 27462-27479. doi: 10.3934/math.20251207
El-Zahar, E. R., Ebaid, A., & Seddek, L. F. (2025). Exploring the neutron diffusion system under reflector boundaries via an ansatz approach: Time-dependent solution. Frontiers in Physics, 13, Article 1677484. https://doi.org/10.3389/fphy.2025.1677484
Seddek, L. F., El-Zahar, E. R., Ebaid, A., & Mona D. Aljouf. (2025). A new aftertreatment technique for the Mittag-Leffler function of a fractional nonlinear SIR-epidemic model, AIMS Mathematics, 10(10), 22869-22882. https://doi.org/10.3934/math.20251016.
El-Zahar, E. R., Ebaid, A., & Seddek, L. F. (2025). A unified analytical treatment for solving delay differential equations: exact solution. Journal of Mathematics and Computer Science, 41(01), 25–33. https://doi.org/10.22436/jmcs.041.01.03.
Seddek, L. F., El-Zahar, E. R., Ebaid, A., & Qarni, A. A. (2025). Treatment of a generalized scalar differential equation: analysis and explicit solution. Frontiers in Physics, 13. https://doi.org/10.3389/fphy.2025.1611846
Alshal, I. F. S., Seddek, L. F., Ebaid, A., & El-Zahar, E. R. (2026). Analytical and numerical study on a variable scalar equation. Journal of Mathematics and Computer Science, 41, 183–194. https://doi.org/10.1016/j.jmcs.2026.183194
El-Zahar, E. R., Al-Boqami, G. F., & Al-Juaydi, H. S. (2025). An efficient algorithm for piecewise approximate analytical solutions of high-order reaction-diffusion singular perturbation problems with boundary and interior layers. Mathematics and Computer Science: Research Updates, 5, 33-78.
Anwar, T., Asifa, Poom Kumam, E. R. El-Zahar, E. R., Almutairi, K. S., & Dagang, A. N. (2025). Thermal performance evaluation of graphene oxide and silicone oil-based nanofluid for multisituation porous media flow using nanoparticle’s shape-dependent thermophysical characteristics. Case Studies in Thermal Engineering, 75, 107233.
Rasool, G., Shah, N. A., El-Zahar, E. R., & Wakif, A. (2025). Numerical investigation of EMHD nanofluid flows over a convectively heated riga pattern positioned horizontally in a Darcy-Forchheimer porous medium: application of passive control strategy and generalized transfer laws. Waves in Random and Complex Media, 35(3), 6039-6058.
Ullah, Z., Alam, M. M., El-Zahar, E. R., Shahab, S., Alsulami, M. D., Abu-Zinadah, H., Seddek, L. F., Mahrous, Y. M., & Albaity, A. (2025). Darcy-Brinkman-Forchheimer porous medium and ohmic heating effects on radiative cooling and turbulent thermal efficiency of gasketed plate heat-exchanger in marine turbines. Chaos, Solitons & Fractals, 201, 117416.
Ullah, Z., Alam, M. M., El-Zahar, E. R., Abu-Zinadah, H., Seddek, L. F., & Shahab, S. (2025). Amplitude analysis of turbulent boundary layers and oscillatory heat transfer using Powell-Eyring nanofluid, exothermic reaction and periodic Stokes conditions. Chaos, Solitons & Fractals, 193, 116155
Wang, X., Nageen, M., Abbas, M., Yousaf, M. Z., Alharthi, M. R., & El-Zahar, E. R. (2025). Bifurcations, chaotic behaviour, sensitivity analysis, and diverse soliton structures for fractional nonlinear Kraenkel-Manna-Merle system adopting two techniques. Mathematical and Computer Modelling of Dynamical Systems, 31(1). https://doi.org/10.1080/13873954.2025.2546531
Ullah, Z., Alam, M. M., El-Zahar, E., Shahab, S., Abu-Zinadah, H., Mahrous, Y., Seddek, L. F., & Faqihi, A. A. (2025). Turbulent and steady boundary layers and radiative heat transfer over magnetic coated elastic-polymer surface in drug-eluting polymeric stents: Powell-Eyring turbulence model. Chaos Solitons & Fractals, 200, 117054. https://doi.org/10.1016/j.chaos.2025.117054
Sabdin, A. R. F., Hussin, C. H. C., Sulaiman, J., Mandangan, A., & El-Zahar, E. R. (2025). Adaptive hybrid Reduced differential transform method in solving nonlinear Schrodinger equations. Journal of Advanced Research Design, 129(1), 33–45. https://doi.org/10.37934/ard.129.1.3345
Ullah, Z., Alam, M. M., El-Zahar, E., Shahab, S., Abu-Zinadah, H., Ebaid, A., Alsulami, M., & Seddek, L. F. (2025). Williamson nanofluid aspects on fluctuating radiative heat and mass transfer with viscous dissipation along heat exchanger plate in nuclear-power plants. Case Studies in Thermal Engineering, 106176. https://doi.org/10.1016/j.csite.2025.106176.
El-Hakiem, A. M. A., Zaki, A. S., El-Zahar, E. R., & Rashad, A. M. (2024). Heat transfer in hybrid nanofluid flow past an infinite orthogonal plate with Biot number and velocity slip effects. Journal of Nanofluids, 13, 65–72.
Sabdin, A. R. F., Hussin, C. H. C., Sulaiman, J., Mandangan, A., & El-Zahar, E. R. (2024). An Adaptive Semi-Analytical Approach in solving Nonlinear Korteweg-De Vries equations. CFD Letters, 17(6), 107–121. https://doi.org/10.37934/cfdl.17.6.107121
Liu, C., El-Zahar, E. R., & Chang, C. (2024). Optimal combination of the Splitting–Linearizing Method to SSOR and SAOR for solving the system of nonlinear equations. AIMS Mathematics, 12(12), 1808. https://doi.org/10.3390/math12121808
Ullah, Z., El-Zahar, E. R., Seddek, L. F., Eladeb, A., Kolsi, L., Alsharari, A. M., Asad, J., & Akgül, A. (2024). Microgravity analysis of periodic oscillations of heat and mass transfer of Darcy-Forchheimer nanofluid along radiating stretching surface with Joule heating effects. Results in Physics, 62, 107810. https://doi.org/10.1016/j.rinp.2024.107810
El-Zahar, E. R., Ebaid, A., & Seddek, L. F. (2024). Analytical study to solving the inhomogeneous pantograph delay equation: the exact solution. Journal of Mathematics and Computer Science, 34(02), 152–161. https://doi.org/10.22436/jmcs.034.02.05
Seddek, L. F., Ebaid, A., & El-Zahar, E. R. (2024). Developed analytical approach for a special kind of differential-difference equation: Exact solution. Journal of Mathematics and Computer Science, 33(04), 381–389. https://doi.org/10.22436/jmcs.033.04.05
El-Zahar, E. R., Al-Boqami, G. F., & Al-Juaydi, H. S. (2024b). Approximate analytical solutions for strongly coupled systems of singularly perturbed Convection–Diffusion problems. Mathematics, 12(2), 277. https://doi.org/10.3390/math12020277
El-Zahar, E. R., Al-Boqami, G. F., & Al-Juaydi, H. S. (2024a). Piecewise approximate analytical solutions of high-order reaction-diffusion singular perturbation problems with boundary and interior layers. AIMS Mathematics, 9(6), 15671–15698. https://doi.org/10.3934/math.2024756
Alyoubi, R. M. S., Ebaid, A., El-Zahar, E. R., & Aljoufi, M. D. (2024). A novel analytical treatment for the Ambartsumian delay differential equation with a variable coefficient. AIMS Mathematics, 9(12), 35743–35758. https://doi.org/10.3934/math.20241696
Albidah, A. B., Alsulami, I. M., El-Zahar, E. R., & Ebaid, A. (2024). Advances in mathematical analysis for solving inhomogeneous scalar differential equation. AIMS Mathematics, 9(9), 23331–23343. https://doi.org/10.3934/math.20241134
El-Zahar, E. R., Seddek, L. F., Ullah, Z., Aldhabani, M. S., Shahab, S., Abu-Zinadah, H., & Hassan, A. M. (2023). Amplitude of heat and mass transfer of gravity-driven convective oscillatory flow along inclined heated plate under reduced gravity and viscosity. Case Studies in Thermal Engineering, 53, 103923. https://doi.org/10.1016/j.csite.2023.103923
Liu, C., El-Zahar, E. R., & Chang, C. (2023b). A Two-Dimensional variant of Newton’s method and a Three-Point Hermite interpolation: Fourth- and Eighth-Order optimal iterative schemes. Mathematics, 11(21), 4529. https://doi.org/10.3390/math11214529
Algehyne, E. A., Ebaid, A., El-Zahar, E. R., Aldhabani, M. S., Areshi, M., & Al-Jeaid, H. K. (2023). Projectile Motion in Special Theory of Relativity: Re-Investigation and New Dynamical Properties in Vacuum. Mathematics, 11(18), 3890. https://doi.org/10.3390/math11183890
Liu, C., El-Zahar, E. R., & Chang, C. (2023a). Dynamical optimal values of parameters in the SSOR, AOR, and SAOR testing using Poisson linear equations. Mathematics, 11(18), 3828. https://doi.org/10.3390/math11183828
Seddek, L. F., Ebaid, A., El-Zahar, E. R., & Aljoufi, M. D. (2023). Exact Solution of Non-Homogeneous Fractional Differential System Containing 2n Periodic Terms under Physical Conditions. Mathematics, 11(15), 3308. https://doi.org/10.3390/math11153308
Kamel, A., Ebaid, A., El-Zahar, E. R., Chteoui, R., & Seddek, L. F. (2023). Mathematical Physics of Time Dilation through Curved Trajectories with Applications. Mathematics, 11(10), 2402. https://doi.org/10.3390/math11102402
Seddek, L. F., El-Zahar, E. R., Chung, J. D., & Shah, N. A. (2023). A Novel Approach to Solving Fractional-Order Kolmogorov and Rosenau–Hyman Models through the q-Homotopy Analysis Transform Method. Mathematics, 11(6), 1321. https://doi.org/10.3390/math11061321
El-Zahar, E. R., & Ebaid, A. (2022). Analytical and numerical simulations of a delay model: the Pantograph delay equation. Axioms, 11(12), 741. https://doi.org/10.3390/axioms11120741
Seddek, L. F., El-Zahar, E. R., & Ebaid, A. (2022). The Exact Solutions of Fractional Differential Systems with n Sinusoidal Terms under Physical Conditions. Symmetry, 14(12), 2539. https://doi.org/10.3390/sym14122539
Liu, C., El-Zahar, E. R., & Chen, Y. (2022). Nonlinear algebraic equations solved by an optimal Splitting-Linearizing iterative method. Computer Modeling in Engineering & Sciences, 135(2), 1111–1130. https://doi.org/10.32604/cmes.2022.021655
Liu, C. S., El-Zahar, E. R., & Chang, C. W. (2022). Solving nonlinear boundary value problems by a boundary shape function method and a splitting and
linearizing method. International Journal of Nonlinear Sciences and Numerical Simulation
Khan, M. I., Malik, M. Y., Chaudhry, F., Khan, S. U., El-Zahar, E. R (2022). Transportation of Marangoni convection with dust particles random motion in flow of hybrid nanomaterials. Waves in Random and Complex Media, 1-14.
Naseem, T., Nazir, U., El-Zahar, E. R., Algelany, A. M., & Sohail, M. (2021). Numerical Computation of Dufour and Soret Effects on Radiated Material on a Porous Stretching Surface with Temperature-Dependent Thermal Conductivity. Fluids, 6(6), 196.
El-Zahar, E. R., Mahdy, A. E. N., Rashad, A. M., Saad, W., & Seddek, L. F. (2021). Unsteady MHD Mixed Convection Flow of Non-Newtonian Casson Hybrid Nanofluid in the Stagnation Zone of Sphere Spinning Impulsively. Fluids, 6(6), 197.
Mahdy, A., El-Zahar, E. R., Rashad, A. M., Saad, W., & Al-Juaydi, H. S. (2021). The Magneto-Natural Convection Flow of a Micropolar Hybrid Nanofluid Over a Vertical Plate Saturated in a Porous Medium. Fluids, 6(6), 202.
Khan, R. M., Ashraf, W., El-Zahar, E. R., Sohail, M., Algelany, A. M., & Thounthong, P. (2021). Effect of rotational slip on the physical parameter in a micropolar fluid flow past a stretching sheet. International Journal of Modern Physics B, 35(13), 2150169.
Sohail, M., Chu, Y. M., El-Zahar, E. R., Nazir, U., & Naseem, T. (2021). Contribution of joule heating and viscous dissipation on three dimensional flow of Casson model comprising temperature dependent conductance utilizing shooting method. Physica Scripta, 96(8), 085208.
Liu, C. S., El-Zahar, E. R., & Chang, C. W. (2021). Three novel fifth-order iterative schemes for solving nonlinear equations. Mathematics and Computers in Simulation. Vol 187, pp. 282-293. https://doi.org/10.1016/j.matcom.2021.03.002
Liu, C. S., El-Zahar, E. R., & Chang, C. W. (2021). A boundary shape function iterative method for solving nonlinear singular boundary value problems. Mathematics and Computers in Simulation. Vo 187, pp. 614-629, DOI: 10.1016/J.MATCOM.2021.03.030
Chein-Shan Liu, Essam R. El-Zahar, Chih-Wen Chang, Solving nonlinear elliptic equations in arbitrary plane domains by using a new splitting and linearization technique, Engineering Analysis with Boundary Elements, Vol.125, Pages 124-134, 2021. https://doi.org/10.1016/j.enganabound.2021.01.012
Ebaid, A., Cattani, C., Al Juhani, A. S., & El-Zahar, E. R. A novel exact solution for the fractional Ambartsumian equation. Adv Differ Equ 2021, 88 (2021). https://doi.org/10.1186/s13662-021-03235-w
Chu, Y‐M, Bani Hani, EH, El‐Zahar, ER, Ebaid, A, Shah, NA. Combination of Shehu decomposition and variational iteration transform methods for solving fractional third order dispersive partial differential equations. Numer Methods Partial Differential Eq. 2021; 1–. https://doi.org/10.1002/num.22755
Shah, N.A.; Dassios, I.; El-Zahar, E.R.; Chung, J.D.; Taherifar, S. The Variational Iteration Transform Method for Solving the Time-Fractional Fornberg–Whitham Equation and Comparison with Decomposition Transform Method. Mathematics 2021, 9, 141. https://doi.org/10.3390/math9020141
• El-Zahar, E. R., A. M. Alotaibi, A. Ebaid, A. F. Aljohani, and JF Gómez Aguilar. "The Riemann–Liouville fractional derivative for Ambartsumian equation." Results in Physics (2020): 103551.
• Y. S. Hamed, H. K. Alkhathami and E. R. El-Zahar, Utilizing Nonlinear Active Vibration Control to Quench the Nonlinear Vibrations of Helicopter Blade Flapping System, in IEEE Access, vol. 8, pp. 203003-203016, 2020, doi: 10.1109/ACCESS.2020.3035611.
• Shah, N.A.; Agarwal, P.; Chung, J.D.; El-Zahar, E.R.; Hamed, Y.S. Analysis of Optical Solitons for Nonlinear Schrödinger Equation with Detuning Term by Iterative Transform Method. Symmetry 2020, 12(11), 1850.
• M. Hassan , E. R El-Zahar, S.U. Khan, M. R.-Gorji, A. Ahmad, Boundary layer flow pattern of heat and mass for homogenous shear thinning hybrid-nanofluid: An experimental data base modeling, 2020, Numerical Methods for Partial Differential Equations, DOI: 10.1002/num.22575
• A. Ebaid, W.Alharbi , M. D. Aljoufi and E. R. El-Zahar, The exact solution of the falling body problem in three-dimensions: Comparative study, 2020, Mathematics, vol. 8(10), 1726.
• El-Zahar, E.R.; Rashad, A.M.; Seddek, L.F. Impacts of Viscous Dissipation and Brownian Motion on Jeffrey Nanofluid Flow over an Unsteady Stretching Surface with Thermophoresis. Symmetry 2020, 12, 1450.
• Mo Faheem, Arshad Khan and E.R. El-Zahar, On Some Wavelet Solutions of Singular Differential Equations Arising in the Modelling of Chemical and Biochemical Phenomena, Advances in Difference Equations, 2020, Article number: 526 (2020)
• H. Demiray and E. R. El-Zahar, 2020, Analytical Approximate Solutions for Nonplanar Burgers Equations by Weighted Residual Method, Results in Physics, Vol 18, 2020, 103293. https://doi.org/10.1016/j.rinp.2020.103293
• E. R El-Zahar, A. M. Alotaibi,A.Ebaid, Dumitru Baleanu and José Tenreiro Machado, Y. S. Hamed, Absolutely Stable Difference Scheme for a General Class of Singular Perturbation Problems, Advances in Difference Equations, 2020, 411 https://doi.org/10.1186/s13662-020-02862-z
• E. R. El-Zahar, A. M. Algelany and A. M. Rashad, "Sinusoidal Natural Convective Flow of Non-Newtonian Nanoliquid Over a Radiative Vertical Plate in a Saturated Porous Medium," in IEEE Access, vol. 8, pp. 136131-136140, 2020, doi: 10.1109/ACCESS.2020.3009197.
• E.R. El-Zahar, A.A. Gaber, A.F. Aljohani, J. Tenreiro Machado, A. Ebaid, Generalized Newtonian fractional model for the vertical motion of a particle, Applied Mathematical Modelling 88 (2020) 652–660. https://doi.org/10.1016/j.apm.2020.06.054
• Y. S. HAMED, HAMMAD ALOTAIBI, and E. R. EL-ZAHAR, Nonlinear Vibrations Analysis and Dynamic Responses of a Vertical Conveyor System Controlled by a Proportional Derivative Controller, IEEE Access, 2020, vol 8, pp 119082-119093. https://doi.org/10.1109/ACCESS.2020.3005377.
• EL-Zahar, E.R., Rashad, A.M., Saad, W. and Seddek, L.F.. Magneto-Hybrid Nanofluids Flow via Mixed Convection past a Radiative Circular Cylinder. Sci Rep,2020, vol 10, pp,1-13, https://doi.org/10.1038/s41598-020-66918-6
• H. Demiray, E. R. El-Zahar and S, A. Sha, On progressive wave solution for non-planar KdV equation in a plasma with q-nonextensive electrons and two oppositely charged ions,
TWMS Journal of Applied and Engineering Mathematics, 2020, 10(2), 532-546.
• Wafaa Alharbi1, Abdulrahman Aljohani1, Essam El-Zahar and Abdelhalim Ebaid,(2020) Exact Solution of Non-Newtonian Blood Flow with Nanoparticles through Porous Arteries: A Comparative Study , Computers, Materials & Continua CMC, vol.63, no.3, pp.1143-1157, 2020
• E.R. El-Zahar.; Ebaid, A.; Aljohani, A.F.; Tenreiro Machado, J.; Baleanu, D. Re-Evaluating the Classical Falling Body Problem. Mathematics 2020, 8, 553.
• E.R. El-Zahar, A Piecewise Approximate Analytical Solution For Nonlinear Transient Circuits Using Adaptive Step Size L-Stable Integration Scheme, Advances in Differential Equations and Control Processes, Volume 23, Number 1, 2020, Pages 47-60.
• E.R. El-Zahar, Numerical solution of singularly perturbed BVPs using an optimal fitted one-step integration scheme via initial value method, International Journal of Engineering Research and Technology, 2020, 13(4), 827-831.
• E. R. El-Zahar. Approximate analytical solution of singularly perturbed boundary value problems in MAPLE. AIMS Mathematics, 2020, 5(3): 2272-2284. doi: 10.3934/math.2020150.
• E. R. El-Zahar , About Central Difference-Techniques in Solving SPBVPs, International Journal of Engineering Research and Technology. ISSN 0974-3154 Vol.13, No.3 (2020), pp. 575-579 © International Research Publication House. https://dx.doi.org/10.37624/IJERT/13.3.2020.575-579
• A .M. Algelany and E. R. El-Zahar, On Fourth Order Centered Difference Scheme for Linear SPBVPs, International Journal of Engineering Research and Technology, 2020, 13(2), 364-367.
• E. R. El-Zahar and A .M. Algelany, On Three-Point Finite Difference Techniques for SPBVPs, International Journal of Engineering Research and Technology, 2020, 13(2), 229-232.
• Mohammed Shqair, Mohammed Al-Smadi , Shaher Momani and Essam El-Zahar,(2020) Adaptation of Conformable Residual Power Series Scheme in Solving Nonlinear Fractional Quantum Mechanics Problems, Applied Sciences. 2020, 10, 890; doi:10.3390/app10030890.
• E. R. El-Zahar and Rizk Yassen, Adaptive Step-size Nonlinear Explicit Integration Algorithm for ODEs, International Journal of Engineering Research and Technology, 2019, 3151-3155.
• E.R. El-Zahar, Cubic Spline Solution of Nonlinear Singularly Perturbed Boundary Value Problems via Initial Value Method, International Journal of Engineering Research and Technology, 2019, 12(12), 3145-3150.
• E. R. El-Zahar , J. T. Machado and A. Ebaid , A New Generalized Taylor-Like Explicit Method for Stiff Ordinary Differential Equations, Mathematics 2019, 7(12), 1154; https://doi.org/10.3390/math7121154
• El-Zahar, E. R., Rashad, A. M., & Seddek, L. F. (2019). The Impact of Sinusoidal Surface Temperature on the Natural Convective Flow of a Ferrofluid along a Vertical Plate. Mathematics, 7(11), 1014. https://doi.org/10.3390/math7111014
• Algehyne, E.A., El-Zahar, E. R., Alharbi, F.M. and Ebaid, A., 2019. Development of analytical solution for a generalized Ambartsumian equation, AIMS Mathematics, 2020, 5(1): 249-258. doi: 10.3934/math.2020016.
• Khaled, S.M., El-Zahar, E.R. and Ebaid, A., 2019. Solution of Ambartsumian Delay Differential Equation with Conformable Derivative. Mathematics, 7(5), p.425. https://doi.org/10.3390/math7050425
• A. Ebaid , E.R. El-Zahar , A.F. Aljohani , Bashir Salah, Mohammed Krid , J.T. Machado, 2019, Exact solutions of the generalized nonlinear Fokas-Lennells equation, Results in Physics 14 (2019) 102472. https://doi.org/10.1016/j.rinp.2019.102472
• A. Ebaid , E.R. El-Zahar , A.F. Aljohani , Bashir Salah, Mohammed Krid , J.T. Machado, 2019, Analysis of the two-dimensional fractional projectile motion in view of the experimental data, Nonlinear Dynamics, pp,1-10. https://doi.org/10.1007/s11071-019-05099-y
• S.M.M. EL-Kabeir, E. El-Zahar, M. Modather, Rama S. R. Gorla, and A.M. Rashad., 2019, Unsteady MHD Slip Flow of a Ferrofluid over an Impulsively Stretched Vertical Surface, AIP Advances 9, 045112 (2019). https://doi.org/10.1063/1.5088610
• E. R. El-Zahar and H. Demiray, 2019, Analytical solutions of cylindrical and spherical dust ion-acoustic solitary waves, Results in Physics, 13(2019), 102154. https://doi.org/10.1016/j.rinp.2019.02.090

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