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  • Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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1 December 2004

A Cubic B-Spline Collocation Method for the EW Equation

and
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
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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.

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