OPERATOR SPLITTING FOR NUMERICAL SOLUTIONS OF THE RLW EQUATION | Zendy

Nuri Murat Yağmurlu | Zendy; Yusuf Uçar | Zendy; İhsan Çelikkaya | Zendy

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OPERATOR SPLITTING FOR NUMERICAL SOLUTIONS OF THE RLW EQUATION

Author(s) -

Nuri Murat Yağmurlu,

Yusuf Uçar,

İhsan Çelikkaya

Publication year - 2018

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2018.1494

Subject(s) - mathematics , operator splitting , mathematical analysis , finite element method , b spline , collocation (remote sensing) , operator (biology) , physics , computer science , biochemistry , chemistry , repressor , machine learning , transcription factor , gene , thermodynamics

In this study, the numerical behavior of the one-dimensional Regularized Long Wave (RLW) equation has been sought by the Strang splitting technique with respect to time. For this purpose, cubic B-spline functions are used with the finite element collocation method. Then, single solitary wave motion, the interaction of two solitary waves and undular bore problems have been studied and the effectiveness of the method has been investigated. The new results have been compared with those of some of the previous studies available in the literature. The stability analysis has also been taken into account by the von Neumann method.

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