Numerical Solution of Generalized Burgers-Fisher Equation by Exponential Cubic B-Spline Collocation Method

Dag İ., ERSOY HEPSON Ö.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Yunanistan, 22 - 28 Eylül 2014, cilt.1648 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1648
  • Doi Numarası: 10.1063/1.4912597
  • Basıldığı Şehir: Rhodes
  • Basıldığı Ülke: Yunanistan
  • Anahtar Kelimeler: collocation methods, exponential cubic B-spline, Burgers-Fisher equation
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this paper, Generalized Burgers-Fisher Equation(GBFE) is fully-integrated by using exponential cubic B-Spline collocation method in space and Crank Nicolson method in time. The numerical results are given to illustrate the efficiency of the proposed method and compared with both the exact solutions and some earlier results. It is shown that accuracy is increased with an appropriate selection of the free parameters of the exponential Cubic B-splines.