An Extended Cubic B-spline Finite Element Method for Solving Generalized Burgers-Fisher Equation

ERSOY HEPSON Ö.

International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), Thessaloniki, Yunanistan, 25 - 30 Eylül 2017, cilt.1978 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1978
  • Doi Numarası: 10.1063/1.5044170
  • Basıldığı Şehir: Thessaloniki
  • Basıldığı Ülke: Yunanistan
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

Finite element method based on extended cubic B-spline(ECB) functions is set up the solutions of an initial boundary value problem for the generalized Burgers-Fisher equation(GBFE). The time discretization of the method is achieved by the Crank-Nicolson technique. The validity of the proposed algorithm is checked by calculating the error using discrete maximum error norm.