International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2570

Full Length Research Paper

Some numerical methods for solving Burgers equation

A. K. Khalifa1, Khalida Inayat Noor2 and Muhammad Aslam Noor1,2*
  1Mathematics Department, College of Science, King Saud University, Riyadh, Saudi Arabia. 2Mathematics Department, Comsats Institute of Information Technology, Park Road, Islamabad, Pakistan.
Email: [email protected], [email protected]

  •  Accepted: 15 February 2011
  •  Published: 04 April 2011

Abstract

 

In this paper, we construct and suggest some new, efficient, and accurate numerical algorithms based on the spectral methods for solving the Burgers’ equation. Spectral methods using Chebyshev and Legendre polynomials are developed. Test problems are used to validate these methods that are found to be accurate and efficient. Also, the results show that despite the fact that Chebyshev polynomials are the most widely used ones; the use of Legendre polynomials gives more accurate results. In addition the present study includes numerical solution of Burgers’ equation by means of the Adomian decomposition method. Comparison with other methods is also given.

 

Key words: Burgers’ equation, spectral, Adomian, Tanh methods.