Non-polynomial Spline Method for the Solution of Non-linear Burgers' Equation

Caglar H., UÇAR M. F.

4th International Interdisciplinary Chaos Symposium on Chaos and Complex Systems, Antalya, Turkey, 29 April - 02 May 2012, pp.213-218 identifier

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1007/978-3-642-33914-1_27
  • City: Antalya
  • Country: Turkey
  • Page Numbers: pp.213-218
  • Istanbul Kültür University Affiliated: Yes

Abstract

A non-polynomial cubic spline method is proposed in this paper to solve one-dimensional non-linear Burgers' equation [Burger, A Mathematical Model Illustrating the Theory of Turbulence (1948); Rashidinia and Mohammadi, Int. J. Comp. Math. 85, 843-850 (2008)]. An example is solved to assess the accuracy of the method. The numerical results obtained by this way are compared with the exact solution to show the efficiency of the method.