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 , "Meta-heuristic algorithms for solving nonlinear differential equations based on multivariate Bernstein polynomials", Germany, part of Springer Nature, 2021 More

Department Related Publications

  • Salwa Amien Mohamed ebrhiem, "Adaptive FAS-Multigrid Method for Nonlinear Elliptic Equations on Unstructured Grids", لايوجد, 1900 More
  • Amr Mohamed Salaheldeen Abdelaziem Mohamed, "Evaluation o Green's unction derivatives or exponentially graded elasticity", لايوجد, 1900 More
  • Salwa Amien Mohamed ebrhiem, "Optimally efficient multigrid algorithms for incompressible Euler equations", Emerald Group Publishing Limited, 2008 More
  • Salwa Amien Mohamed ebrhiem, "Adaptive FAS-multigrid method for nonlinear elliptic equations on unstructured grids", Wiley InterScience, 2007 More
  • Rania Bahgat Mohamed Amer, "An Efficient Method To Solve Thermal Wave Equations", Published by Scientific Research Publishing, 2014 More
Tweet