Journal
KYBERNETES
Volume 38, Issue 9, Pages 1599-1620Publisher
EMERALD GROUP PUBLISHING LIMITED
DOI: 10.1108/03684920910991568
Keywords
Numerical analysis; Cybernetics
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Purpose - The purpose of this paper is to investigate the numerical solutions of the Burgers' and modified Burgers' equation using sextic B-spline collocation method. Design/methodology/approach - Crank-Nicolson central differencing scheme has been used for the time integration and sextic B-spline functions have been used for the space integration to the modified and time splitted modified Burgers' equation. Findings - It has been found that the proposed method is unconditionally stable and obtained results are consistent with some earlier published studies. Originality/value - Sextic B-spline collocation method for the Burgers' and modified Burgers' equation is given.
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