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Kybernetes
ISSN: 0368-492X
Online from: 1972
Subject Area: Electrical & Electronic Engineering
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Sextic B-spline collocation method for the modified Burgers' equation
| Title: | Sextic B-spline collocation method for the modified Burgers' equation |
|---|---|
| Author(s): | Dursun Irk, (Mathematics and Computer Sciences Department, Eskisehir Osmangazi University, Eskisehir, Turkey) |
| Citation: | Dursun Irk, (2009) "Sextic B-spline collocation method for the modified Burgers' equation", Kybernetes, Vol. 38 Iss: 9, pp.1599 - 1620 |
| Keywords: | Cybernetics, Numerical analysis |
| Article type: | Research paper |
| DOI: | 10.1108/03684920910991568 (Permanent URL) |
| Publisher: | Emerald Group Publishing Limited |
| Abstract: | 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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