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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2004, 9(3), 381-392; https://doi.org/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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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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