Numerical solution of the Rosenau-KdV-RLW equation by operator splitting techniques based on B-spline collocation method

Ozer S.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, vol.35, no.5, pp.1928-1943, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 5
  • Publication Date: 2019
  • Doi Number: 10.1002/num.22387
  • Journal Name: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1928-1943
  • Keywords: collocation method, quintic B-spline functions, Rosenau-KdV-RLW, time splitting, CONSERVATION-LAWS, ALGORITHMS, SOLITONS, SCHEME, WAVES
  • Inonu University Affiliated: Yes

Abstract

In the present study, the operator splitting techniques based on the quintic B-spline collocation finite element method are presented for calculating the numerical solutions of the Rosenau-KdV-RLW equation. Two test problems having exact solutions have been considered. To demonstrate the efficiency and accuracy of the present methods, the error norms L-2 and L-infinity with the discrete mass Q and energy E conservative properties have been calculated. The results obtained by the method have been compared with the exact solution of each problem and other numerical results in the literature, and also found to be in good agreement with each other. A Fourier stability analysis of each presented method is also investigated.