A qualocation method for Burgers' equation

  • Authors:
  • Pritam S. Mantri;Neela Nataraj;Amiya K. Pani

  • Affiliations:
  • Department of Mathematics, IIT Bombay, Powai, Mumbai 400 076, India;Industrial Mathematics Group, Department of Mathematics, IIT Bombay, Mumbai 400 076, India;Industrial Mathematics Group, Department of Mathematics, IIT Bombay, Mumbai 400 076, India

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2008

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Abstract

In this paper, a qualocation method for the one-dimensional Burgers' equation is proposed. A semidiscrete scheme along with optimal error estimates is discussed. Results of a numerical experiment performed support the theoretical results.