OPERATOR SPLITTING FOR NUMERICAL SOLUTIONS OF THE RLW EQUATION

YAĞMURLU N. M., UÇAR Y., CELIKKAYA I.

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, vol.8, no.5, pp.1494-1510, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 5
  • Publication Date: 2018
  • Doi Number: 10.11948/2018.1494
  • Journal Name: JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1494-1510
  • Keywords: Collocation method, RLW equation, strang splitting, solitary waves, LONG-WAVE EQUATION, GALERKIN METHOD, B-SPLINES
  • Inonu University Affiliated: Yes

Abstract

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.