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

  • Salwa Amien Mohamed ebrhiem, "Analysis of cracked plates using an iterative hybrid technique of boundary element method and distributed dislocation method", لايوجد, 1900 More
  • Salwa Amien Mohamed ebrhiem, "Analytical Solution of Cracked Shell Resting on Elastic Foundation", لايوجد, 1900 More
  • Salwa Amien Mohamed ebrhiem, "Analysis of cracked plates using an iterative hybrid technique of boundary element method and distributed dislocation method", Elsevier, 2007 More
  • Ola Ragab Abdou Mohamed, "Efficient Quadrature Solution for Composite Plate Problems", medwelljournals, 2014 More
  • Amgad Elsayed Soulaiman , "Computerized Langmuir Probe Measurements in a Capacitively Coupled RF Discharge", 28th ICPIG, July 15-20, 2007, Prague, Czech Republic, 2007 More
Tweet