OPERATOR SPLITTING FOR NUMERICAL SOLUTIONS OF THE RLW EQUATION

Nuri Murat Yağmurlu; Yusuf Uçar; İhsan Çelikkaya

doi:10.11948/2018.1494

2018 Volume 8 Issue 5

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Nuri Murat Yağmurlu, Yusuf Uçar, İhsan Çelikkaya. OPERATOR SPLITTING FOR NUMERICAL SOLUTIONS OF THE RLW EQUATION[J]. Journal of Applied Analysis & Computation, 2018, 8(5): 1494-1510. doi: 10.11948/2018.1494

Citation:

Nuri Murat Yağmurlu, Yusuf Uçar, İhsan Çelikkaya. OPERATOR SPLITTING FOR NUMERICAL SOLUTIONS OF THE RLW EQUATION[J]. Journal of Applied Analysis & Computation, 2018, 8(5): 1494-1510. doi: 10.11948/2018.1494

OPERATOR SPLITTING FOR NUMERICAL SOLUTIONS OF THE RLW EQUATION

Mathematics, Inonu University, Main Street, 44280 Malatya, Turkey

Abstract

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.
- Collocation method /
- RLW equation /
- strang splitting /
- solitary waves
MSC: 65L60;65D07;33F10

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References

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