QUINTIC B-SPLINE METHOD FOR NUMERICAL SOLUTION OF THE ROSENAU-BURGERS EQUATION

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Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume: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 : 35 | Download : 9

Publication Date : 2020-09-01

Article Type : Research Paper

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

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