Effective numerical technique applied for Burgers' equation of (1 + 1)-, (2 + 1)-dimensional, and coupled forms

Faculty Engineering Year: 2021
Type of Publication: ZU Hosted Pages:
Authors:
Norhan Alaaeldeen Mohamed Ali Hsan
Journal: Mathematical Methods in the Applied Sciencee John Wiley & Sons, Ltd Volume:
Keywords : Effective numerical technique applied , Burgers' equation of    
Abstract:
A numerical scheme based on backward differentiation formula (BDF) and generalized differential quadrature method (GDQM) has been developed. The proposed scheme has been employed to investigate three cases of Burgers' equation, one-dimensional, two-dimensional, and two-dimensional coupled models. The results showed effectiveness accuracy in absolute error and error norms L2 and L∞ compared to other methods. The results were evaluated at different values of Reynold's number, Re, and viscosity, ν.
    
     
 
       

Author Related Publications

  • Norhan Alaaeldeen Mohamed Ali Hsan , "A novel differential-integral quadrature method for the solution of nonlinear integro-differential equations", John Wiley & Sons Ltd, 2021 More
  • Norhan Alaaeldeen Mohamed Ali Hsan , "Surface energy effects on the nonlinear free vibration of functionally graded Timoshenko nanobeams based on modified couple stress theory", World Scientific Publishing Company, 2019 More
  • Norhan Alaaeldeen Mohamed Ali Hsan , "Solving one- and two-dimensional unsteady Burgers' equation using fully implicit finite difference schemes", Taylor & Francis Group, 2019 More
  • Norhan Alaaeldeen Mohamed Ali Hsan , "Effective numerical technique applied for Burgers' equation of (1+1)-, (2+1)-dimensional, and coupled forms", Wiley, 2021 More
  • Norhan Alaaeldeen Mohamed Ali Hsan , "Free vibration analysis of nonlocal viscoelastic nanobeam with holes and elastic foundations by Navier analytical method", Techno-Press, 2023 More

Department Related Publications

  • Mohamed Mohamed Ali Mohamed Saied, "Three Resultant Applications In Surface Modeling For Computer Graphics", Second National Conference of Mathematics, Cairo 6-11 April 1996, 1996 More
  • Nazira Mohamed Mansour Mosa, "EXPONENTIAL HIGHER-ORDER COMPACT SCHEME FOR STEADY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS: STREAMFUNCTION-VORTICITY FORMULATION", conferrnce, 2013 More
  • Magda Mahmoud Mohamed Kasem, "A new algorithm for the generation of conservative forms and nonlocal solutions for Lin-Tsien equation", Int. J. Appl. Math. Stat., 2016 More
  • Mohamed Ahmed Hanafy Mahmoud Elshaer, "Investigation of Microorganisms Inactivation on Biodeteriorated Ancient Paper Using Atmospheric Plasma and Laser Techniques", ISPC20 Philadelphia, 2011 More
  • Mohamed Mohamed Ali Mohamed Saied, "Ellipse Fitting: A Two Stage Approach", the 6th Panhellenic Conference On Geometry, Limassol, Cyprus, 2003 More
Tweet