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, Greece, 25 - 30 September 2017, vol.1978, (Full Text) identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1978
  • Doi Number: 10.1063/1.5044170
  • City: Thessaloniki
  • Country: Greece
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

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.