Fully Implicit Scheme for Solving Burgers' Equation based on Finite Difference Method

Faculty Engineering Year: 2018
Type of Publication: ZU Hosted Pages:
Authors:
Norhan Alaaeldeen Mohamed Ali Hsan
Journal: The Egyptian International Journal of Engineering Sciences and Technology Zagazig University Volume:
Keywords : Fully Implicit Scheme , Solving Burgers' Equation    
Abstract:
In this paper, a new scheme based on finite difference method is presented for solving nonlinear one-dimensional Burgers' equation. The effectiveness of the scheme is illustrated by solving two test problems with known exact solutions. High accuracy of the present scheme is achieved at different values of kinematic viscosity. The obtained numerical solutions are in excellent agreement with the exact solutions and the results are compared with the most popular known explicit methods for solving this equation.
    
     
 
       

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", John Wiley & Sons, Ltd, 2021 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

Department Related Publications

  • Ola Ragab Abdou Mohamed, "Analysis of Composite Plates Using Moving Least Squares Differential Quadrature Method", Science Direct, 2014 More
  • Ola Ragab Abdou Mohamed, "Efficient Quadrature Solution for Composite Plate Problems", medwelljournals, 2014 More
  • Rasha Ibrahiem Saleh Mohamed, "Generalized extended method for solution of nonlinear diffusion equations", مجلة الهندسة والعلوم التطبيقية, 2014 More
  • 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
  • Magda Mahmoud Mohamed Kasem, "Similarity Analysis of Mass and Heat Transfer of FHD Steady Flow of Nanofluid Incorporating Magnetite Nanoparticles (Fe3O4)", East African Scholars Publisher, Kenya, 2020 More
Tweet