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  1. Ill-posedness of uniform flows and formation of roll waves in the one-dimensional shallow water equations

    Article • Physics of Fluids, September 2026, American Institute of Physics

    Professor Dia Zeidan

  2. Delta shock interactions and stability of the Riemann solutions in generalized Chaplygin gas with time-dependent general source term

    Article • Journal of Mathematical Physics, August 2026, American Institute of Physics

    Professor Dia Zeidan

  3. A Haar wavelet operational matrix method for fractional pseudo-parabolic Burgers–Volterra integro-differential equations

    Article • Mathematics and Computers in Simulation, August 2026, Elsevier

    Professor Dia Zeidan

  4. Assessment of the barotropic one-velocity, one-pressure two-phase flow model to cavitating water-hammer

    Article • Physics of Fluids, August 2026, American Institute of Physics

    Professor Dia Zeidan

  5. Gravity‐Driven Granular Flows in the Context of Advanced Symmetry Techniques

    Article • International Journal for Numerical Methods in Fluids, February 2026, Wiley

    Professor Dia Zeidan

  6. Wave dynamics in the drift-flux two-phase flow model

    Article • International Journal of Engineering Science, December 2025, Elsevier

    Professor Dia Zeidan

  7. Solitary wave solutions of a two-dimensional thin film model for a perfectly soluble antisurfactant solution

    Article • Physica Scripta, November 2025, Institute of Physics Publishing

    Professor Dia Zeidan

  8. Soliton dynamics in the Lakshmanan–Porsezian–Daniel equation under diverse nonlinear optical laws

    Article • Optik, September 2025, Elsevier

    Professor Dia Zeidan

  9. Similarity solutions and wave interactions in a rarefied polyatomic gas

    Article • International Journal of Engineering Science, July 2025, Elsevier

    Professor Dia Zeidan

  10. Lie Symmetry Analysis, Optimal Systems, and Conservation Laws for Two‐Dimensional Compressible Euler Equations With Chaplygin Gas

    Article • Mathematical Methods in the Applied Sciences, June 2025, Wiley

    Professor Dia Zeidan

  11. An efficient collocation technique based on operational matrix of fractional-order Lagrange polynomials for solving the space-time fractional-order partial differential equations

    Article • Applied Numerical Mathematics, October 2024, Elsevier

    Professor Dia Zeidan

  12. Computational and artificial neural network study on ternary nanofluid flow with heat and mass transfer with magnetohydrodynamics and mass transpiration

    Article • Neural Computing and Applications, August 2024, Springer Science + Business Media

    Professor Dia Zeidan

  13. Conservation laws, nonlocal symmetries, and exact solutions for the Cargo–LeRoux model with perturbed pressure

    Article • Physics of Fluids, August 2024, American Institute of Physics

    Professor Dia Zeidan

  14. An impact of Richardson number on the inclined MHD mixed convective flow with heat and mass transfer

    Article • Heat Transfer, May 2024, Wiley

    Professor Dia Zeidan

  15. An impact of MHD and radiation on Boussinesq–Stokes suspensions fluid flow past a porous flat plate with mass suction/injection

    Article • Journal of Thermal Analysis and Calorimetry, April 2024, Springer Science + Business Media

    Professor Dia Zeidan

  16. An MHD nanofluid flow with Marangoni laminar boundary layer over a porous medium with heat and mass transfer

    Article • International Journal of Modelling and Simulation, April 2024, Taylor & Francis

    Professor Dia Zeidan

  17. An effect of velocity slip and MHD on Hiemenz stagnation flow of ternary nanofluid with heat and mass transfer

    Article • Journal of Thermal Analysis and Calorimetry, March 2024, Springer Science + Business Media

    Professor Dia Zeidan

  18. Limiting behaviour of the Riemann solution to a macroscopic production model with van der Waals equation of state

    Article • Applied Mathematics and Computation, March 2024, Elsevier

    Professor Dia Zeidan

  19. Computational aspects of model formulations in two-phase flow

    Article • January 2024, American Institute of Physics

    Professor Dia Zeidan

  20. Symmetry analysis, optimal system, and invariant solutions for a (2+1)-dimensional two-phase mass flow model

    Article • International Journal of Non-Linear Mechanics, January 2024, Elsevier

    Professor Dia Zeidan

  21. Editorial of the special issue on modelling, analysis, and applications

    Article • Mathematical Methods in the Applied Sciences, December 2023, Wiley

    Professor Dia Zeidan, Professor Carla M. A. Pinto

  22. An influence of temperature jump and Navier’s slip-on hybrid nano fluid flow over a permeable stretching/shrinking sheet with heat transfer and inclined MHD

    Article • Nanotechnology, December 2023, Institute of Physics Publishing

    Professor Dia Zeidan

  23. On the investigation of a one-dimensional blood flow model in elastic arteries under symmetry analysis

    Article • International Journal of Biomathematics, August 2023, World Scientific Pub Co Pte Lt

    Professor Dia Zeidan

  24. Multi-dimensional optimal system and conservation laws for Chaplygin gas Cargo-LeRoux model

    Article • Journal of Mathematical Analysis and Applications, May 2023, Elsevier

    Professor Dia Zeidan

  25. Optimal systems, series solutions and conservation laws for a time fractional cancer tumor model

    Article • Chaos Solitons & Fractals, April 2023, Elsevier

    Professor Dia Zeidan

  26. Numerical studies of two-phase water hammer flows using Godunov methods

    Article • Annals of Nuclear Energy, March 2023, Elsevier

    Professor Dia Zeidan

  27. Exact riemann solver for a bubbly two-phase flow

    Article • January 2023, American Institute of Physics

    Professor Dia Zeidan

  28. A Riemann invariant solver for mixture equations of compressible flows

    Article • January 2023, American Institute of Physics

    Professor Dia Zeidan, Ramesh Kolluru

  29. Optimal subalgebras and conservation laws with exact solutions for biological population model

    Article • Chaos Solitons & Fractals, January 2023, Elsevier

    Professor Dia Zeidan

  30. A convergent hybrid numerical scheme for a class of nonlinear diffusion equations

    Article • Computational and Applied Mathematics, September 2022, Springer Science + Business Media

    Professor Dia Zeidan

  31. Solution to the Riemann problem for drift‐flux model with modified Chaplygin two‐phase flows

    Article • International Journal for Numerical Methods in Fluids, September 2022, Wiley

    Professor Dia Zeidan

  32. Study of wave propagation in arterial blood flow under symmetry analysis

    Article • Mathematical Methods in the Applied Sciences, September 2022, Wiley

    Professor Dia Zeidan

  33. Interaction of shock and discontinuity waves at the stellar surfaces

    Article • Physics of Fluids, June 2022, American Institute of Physics

    Professor Dia Zeidan

  34. Weak shock wave interactions in isentropic Cargo‐LeRoux model of flux perturbation

    Article • Mathematical Methods in the Applied Sciences, March 2022, Wiley

    Professor Dia Zeidan

  35. On the development of Adomian decomposition method for solving PDE systems with non-prescribed data

    Article • Computational and Applied Mathematics, March 2022, Springer Science + Business Media

    Professor Dia Zeidan

  36. Preface to the 15th International Symposium on Numerical Analysis of Fluid Flow, Heat and Mass Transfer - Numerical Fluids 2020

    Article • January 2022, American Institute of Physics

    Professor Dia Zeidan

  37. Towards parallel WENO wavelet methods for the simulation of compressible two-fluid models

    Article • January 2022, American Institute of Physics

    Professor Dia Zeidan, Alice Kozakevicius

  38. Time-Fractional (2+1)-Dimensional Navier-Stokes Equation: Similarity Reduction and Exact Solutions for One-Parameter Group of Rotations

    Article • January 2022, Elsevier

    Professor Dia Zeidan

  39. Numerical study of Zika model as a mosquito-borne virus with non-singular fractional derivative

    Article • International Journal of Biomathematics, December 2021, World Scientific Pub Co Pte Lt

    Professor Dia Zeidan

  40. An efficient Mittag-Leffler kernel approach for time-fractional advection-reaction-diffusion equation

    Article • Applied Numerical Mathematics, December 2021, Elsevier

    Professor Dia Zeidan

  41. The WAF scheme for the isentropic drift-flux model of compressible two-phase flows

    Article • Computers & Fluids, October 2021, Elsevier

    Professor Dia Zeidan

  42. Discontinuity wave interactions in generalized magnetogasdynamics

    Article • Acta Astronautica, March 2021, Elsevier

    Professor Dia Zeidan

  43. Optimal algebra and power series solution of fractional Black-Scholes pricing model

    Article • Soft Computing, February 2021, Springer Science + Business Media

    Professor Dia Zeidan

  44. Codimension two Lie invariant solutions of the modified Khokhlov–Zabolotskaya–Kuznetsov equation

    Article • Mathematical Methods in the Applied Sciences, December 2020, Wiley

    Professor Dia Zeidan

  45. Delta Shock Wave Solution of the Riemann Problem for the Non-homogeneous Modified Chaplygin Gasdynamics

    Article • Journal of Dynamics and Differential Equations, November 2020, Springer Science + Business Media

    Professor Dia Zeidan

  46. Nonlocal conservation laws, nonlocal symmetries and exact solutions of an integrable soliton equation

    Article • Chaos Solitons & Fractals, October 2020, Elsevier

    Professor Dia Zeidan

  47. An unstaggered central finite volume method for the numerical approximation of mixture flows

    Article • January 2020, American Institute of Physics

    Professor Dia Zeidan

  48. Two-dimensional two-phase flow Riemann problem simulations using WENO wavelet methods

    Article • January 2020, American Institute of Physics

    Professor Dia Zeidan, Alice Kozakevicius

  49. A comparison of two hyperbolic models for the Mach 3 wind tunnel two-phase flow with a step

    Article • January 2020, American Institute of Physics

    Professor Dia Zeidan

  50. Mathematical studies of the solution of Burgers' equations by Adomian decomposition method

    Article • Mathematical Methods in the Applied Sciences, December 2019, Wiley

    Professor Dia Zeidan

  51. On the characteristic Adomian decomposition method for the Riemann problem

    Article • Mathematical Methods in the Applied Sciences, July 2019, Wiley

    Professor Dia Zeidan

  52. Weak shock waves and its interaction with characteristic shocks in polyatomic gas

    Article • Mathematical Methods in the Applied Sciences, June 2019, Wiley

    Professor Dia Zeidan

  53. Numerical investigation of a mixture two-phase flow model in two-dimensional space

    Article • Computers & Fluids, March 2019, Elsevier

    Professor Dia Zeidan

  54. Preface to the 13th International Symposium on Numerical Analysis of Fluid Flow, Heat and Mass Transfer - Numerical Fluids 2018

    Article • January 2019, American Institute of Physics

    Professor Dia Zeidan

  55. Multiresolution scheme for two-phase volcanic flows

    Article • January 2019, American Institute of Physics

    Professor Dia Zeidan, Alice Kozakevicius

  56. Compressible two-phase flow using a fourth order time-accurate TVD-SLIC method

    Article • January 2019, American Institute of Physics

    Professor Dia Zeidan

  57. Water faucet problem by mixture two phase flow equations

    Article • January 2019, American Institute of Physics

    Nitish Arya, Professor Dia Zeidan, Dr. Ashoke De

  58. Modelling of wall damages by bubble collapse

    Article • January 2019, American Institute of Physics

    Professor Dia Zeidan

  59. Computational methods for gas dynamics and compressible multiphase flows

    Article • Shock Waves, October 2018, Springer Science + Business Media

    Professor Dia Zeidan

  60. Solving a mixture model of two-phase flow with velocity non-equilibrium using WENO wavelet methods

    Article • International Journal of Numerical Methods for Heat & Fluid Flow, October 2018, Emerald

    Professor Dia Zeidan

  61. Exact solutions for some time‐fractional evolution equations using Lie group theory

    Article • Mathematical Methods in the Applied Sciences, September 2018, Wiley

    Professor Dia Zeidan

  62. On the wave interactions in the drift-flux equations of two-phase flows

    Article • Applied Mathematics and Computation, June 2018, Elsevier

    Professor Dia Zeidan

  63. Simulation of shock-induced bubble collapse using a four-equation model

    Article • Shock Waves, February 2018, Springer Science + Business Media

    Professor Dia Zeidan

  64. Numerical study of bubble collapse near a wall

    Article • January 2018, American Institute of Physics

    Professor Dia Zeidan

  65. Preface to the 12th International Symposium on Numerical Analysis of Fluid Flow, Heat and Mass Transfer - Numerical Fluids 2017

    Article • January 2018, American Institute of Physics

    Professor Dia Zeidan

  66. Simulation of Mach 3 wind tunnel flow with a step by a two-phase flow model

    Article • January 2018, American Institute of Physics

    Professor Dia Zeidan

  67. Testing of mathematica in the computation of two-phase flow equations

    Article • January 2018, American Institute of Physics

    Professor Dia Zeidan

  68. Power Series Solution of Time-Fractional Majda-Biello System Using Lie Group Analysis

    Article • January 2018, Elsevier

    Professor Dia Zeidan

  69. Numerical study of turbulent cavitating flows in thermal regime

    Article • International Journal of Numerical Methods for Heat & Fluid Flow, July 2017, Emerald

    Professor Dia Zeidan

  70. Guest editorial

    Article • International Journal of Numerical Methods for Heat & Fluid Flow, July 2017, Emerald

    Professor Dia Zeidan

  71. Numerical simulation of unsteady cavitation in liquid hydrogen flows

    Article • International Journal of Engineering Systems Modelling and Simulation, January 2017, Inderscience Publishers

    Professor Dia Zeidan

  72. On a further simulation of shock-bubble interactions

    Article • January 2017, American Institute of Physics

    Professor Dia Zeidan

  73. On the robustness of two-phase flow models for bubbly flows

    Article • January 2017, American Institute of Physics

    Professor Dia Zeidan

  74. Preface to the 11th International Symposium on Numerical Analysis of Fluid flow, Heat and Mass Transfer - Numerical Fluids 2016

    Article • January 2017, American Institute of Physics

    Professor Dia Zeidan

  75. Progress on the simulation of a mixture two-phase flow model

    Article • January 2017, American Institute of Physics

    Professor Dia Zeidan

  76. On the Riemann Problem Simulation for the Drift-Flux Equations of Two-Phase Flows

    Article • International Journal of Computational Methods, February 2016, World Scientific Pub Co Pte Lt

    Professor Dia Zeidan

  77. Assessment of mixture two-phase flow equations for volcanic flows using Godunov-type methods

    Article • Applied Mathematics and Computation, January 2016, Elsevier

    Professor Dia Zeidan

  78. Preface to special issue of selected papers from the 9th International Symposium on Numerical Analysis of Fluid Flow and Heat Transfer - Numerical Fluids 2014.

    Article • Applied Mathematics and Computation, January 2016, Elsevier

    Professor Dia Zeidan

  79. An unstaggered central scheme on nonuniform grids for the simulation of a compressible two-phase flow model

    Article • January 2016, American Institute of Physics

    Professor Dia Zeidan

  80. Application of Lie groups to compressible model of two-phase flows

    Article • Computers & Mathematics with Applications, January 2016, Elsevier

    Professor Dia Zeidan

  81. Preface of the “10th International Symposium on Numerical Analysis of Fluid Flow and Heat Transfer” - Numerical Fluids 2015

    Article • January 2016, American Institute of Physics

    Professor Dia Zeidan

  82. Simulations on porous media with nanofluids–initial study

    Article • January 2016, American Institute of Physics

    Professor Dia Zeidan

  83. Some issues in the simulation of two-phase flows: The relative velocity

    Article • January 2016, American Institute of Physics

    Professor Dia Zeidan

  84. WENO wavelet method for a hyperbolic model of two-phase flow in conservative form

    Article • January 2016, American Institute of Physics

    Professor Dia Zeidan

  85. A Robust and accurate Riemann solver for a compressible two-phase flow model

    Article • Applied Mathematics and Computation, August 2015, Elsevier

    Professor Dia Zeidan

  86. Central finite volume schemes on nonuniform grids and applications

    Article • Applied Mathematics and Computation, July 2015, Elsevier

    Professor Dia Zeidan

  87. Preface to the 9th international symposium on numerical analysis of fluid flow and heat transfer - Numerical fluids 2014

    Article • January 2015, American Institute of Physics

    Professor Dia Zeidan

  88. Drag force simulation in explosive volcanic flows

    Article • January 2015, American Institute of Physics

    Professor Dia Zeidan

  89. Application of a thermodynamically compatible two‐phase flow model to the high‐resolution simulations of compressible gas–magma flow

    Article • International Journal for Numerical Methods in Fluids, July 2014, Wiley

    Professor Dia Zeidan

  90. On the Computations of Gas-Solid Mixture Two-Phase Flow

    Article • Advances in Applied Mathematics and Mechanics, February 2014, Global Science Press

    Professor Dia Zeidan

  91. Implementation of Velocity and Pressure Non-Equilibrium in Gas-Liquid Two-Phase Flow Computations

    Article • International Journal of Fluid Mechanics Research, January 2014, Begell House

    Professor Dia Zeidan

  92. Preface of the "8th symposium on numerical analysis of fluid flow and heat transfer - Numerical fluids symposium 2013"

    Article • January 2013, American Institute of Physics

    Professor Dia Zeidan

  93. Computer simulations of cavitating two-phase flows

    Article • January 2013, American Institute of Physics

    Professor Dia Zeidan

  94. Using gas-solid mixture conservation laws for volcanic eruptions

    Article • January 2013, American Institute of Physics

    Professor Dia Zeidan

  95. Compressible gas-solid mixture conservation laws simulations

    Article • January 2012, American Institute of Physics

    Professor Dia Zeidan

  96. Numerical simulation of cavitating tube problems with non–isothermal model

    Article • January 2012, American Institute of Physics

    Professor Dia Zeidan

  97. Simulation of gas-liquid two-phase flow based on the Riemann problem

    Article • January 2012, American Institute of Physics

    Professor Dia Zeidan

  98. Study of expansion tube problems with phase transition

    Article • January 2012, American Institute of Physics

    Professor Dia Zeidan

  99. The Riemann problem for a hyperbolic model of two-phase flow in conservative form

    Article • International Journal of Computational Fluid Dynamics, July 2011, Taylor & Francis

    Professor Dia Zeidan

  100. Numerical resolution for a compressible two-phase flow model based on the theory of thermodynamically compatible systems

    Article • Applied Mathematics and Computation, February 2011, Elsevier

    Professor Dia Zeidan

  101. On a Further Work of Two-phase Mixture Conservation Laws

    Article • January 2011, American Institute of Physics

    Professor Dia Zeidan

  102. ON A HIGH-RESOLUTION GODUNOV METHOD FOR A CFD-PBM COUPLED MODEL OF TWO-PHASE FLOW IN LIQUID-LIQUID EXTRACTION COLUMNS

    Article • International Journal of Computational Methods, September 2010, World Scientific Pub Co Pte Lt

    Professor Dia Zeidan

  103. Applying Upwind Godunov Methods to Calculate Two—Phase Mixture Conservation Laws

    Article • January 2010, American Institute of Physics

    Professor Dia Zeidan

  104. Validation of hyperbolic model for two-phase flow in conservative form

    Article • International Journal of Computational Fluid Dynamics, October 2009, Taylor & Francis

    Professor Dia Zeidan

  105. Numerical Approximation for a One-Dimensional Two-Phase Mixture Conservation Laws

    Article • January 2009, American Institute of Physics

    Professor Dia Zeidan

  106. NUMERICAL SOLUTION FOR HYPERBOLIC CONSERVATIVE TWO-PHASE FLOW EQUATIONS

    Article • International Journal of Computational Methods, June 2007, World Scientific Pub Co Pte Lt

    Professor Dia Zeidan

  107. On the Numerical Computation for a One-Dimensional Two-Phase Flow Equations

    Article • January 2007, ASME International

    Professor Dia Zeidan

  108. Numerical study of wave propagation in compressible two‐phase flow

    Article • International Journal for Numerical Methods in Fluids, December 2006, Wiley

    Professor Dia Zeidan