- Sigma Mühendislik ve Fen Bilimleri Dergisi
- Vol: 37 Issue: 3
- QUINTIC B-SPLINE METHOD FOR NUMERICAL SOLUTION OF THE ROSENAU-BURGERS EQUATION
QUINTIC B-SPLINE METHOD FOR NUMERICAL SOLUTION OF THE ROSENAU-BURGERS EQUATION
Authors : Reza Abazari, Kenan Yildirim
Pages : 967-979
View : 7 | Download : 1
Publication Date : 2020-09-01
Article Type : Research
Abstract :In this paper, the quintic B–spline method is employed to calculatenumerical solution of the initial-boundary value problem of Rosenau–Burgersequation. This scheme is based on the Crank–Nicolson formulation for time integration and quintic B–spline functions for space integration. The unconditional stability of the method is proved using Von–Neumann approach. A priori bound and the error estimates of the approximate solutions are discussed with a numerical example.Keywords : Rosenau-Burgers equation, quintic b-spline method, Crank-Nicolson scheme, Thomas algorithm