Numerical Solution of Generalized Burgers-Fisher Equation by Exponential Cubic B-Spline Collocation Method
International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Greece, 22 - 28 September 2014, vol.1648, (Full Text)
- Publication Type: Conference Paper / Full Text
- Volume: 1648
- Doi Number: 10.1063/1.4912597
- City: Rhodes
- Country: Greece
- Keywords: collocation methods, exponential cubic B-spline, Burgers-Fisher equation
- Eskisehir Osmangazi University Affiliated: Yes
Abstract
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.