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Math. Comput. Appl. 2004, 9(3), 381-392; doi:10.3390/mca9030381

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.
Published: 1 December 2004
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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 Finite Elements; Collocation; Solitary Waves; EW Equation
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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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.

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Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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