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, Türkiye, 29 Nisan - 02 Mayıs 2012, ss.213-218 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Doi Numarası: 10.1007/978-3-642-33914-1_27
  • Basıldığı Şehir: Antalya
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.213-218
  • İstanbul Kültür Üniversitesi Adresli: Evet

Özet

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.