A Cubic B-Spline Collocation Method for the EW Equation
1
Computer Engineering Department, Osmangazi University, 26480, Eskişehir, Turkey
2
Mathematics Department, Osmangazi University, 26480, Eskişehir, Turkey
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2004, 9(3), 381-392; https://doi.org/10.3390/mca9030381
Published: 1 December 2004
Abstract
A numerical solution of the Equal Width (EW) equation based on a collocation method incorporated cubic B-splines is investigated. Accuracy of the proposed method is shown numerically by calculating conservation laws, L2 and L∞ norms on studying migration of a single solitary wave. It is shown that the collocation scheme for solutions of the EW equation gives rise to smaller errors and is quite easy to implement. The development of the undular bore and generation of the waves are studied for the EW equation. The linearized stability of the proposed method is derived by using Von Neumann stability analysis.
Keywords:
Finite Elements; Collocation; Solitary Waves; EW Equation
Share and Cite
MDPI and ACS Style
Dağ, İ.; Saka, B. A Cubic B-Spline Collocation Method for the EW Equation. Math. Comput. Appl. 2004, 9, 381-392. https://doi.org/10.3390/mca9030381
AMA Style
Dağ İ, Saka B. A Cubic B-Spline Collocation Method for the EW Equation. Mathematical and Computational Applications. 2004; 9(3):381-392. https://doi.org/10.3390/mca9030381
Chicago/Turabian StyleDağ, İdris, and Bülient Saka. 2004. "A Cubic B-Spline Collocation Method for the EW Equation" Mathematical and Computational Applications 9, no. 3: 381-392. https://doi.org/10.3390/mca9030381
