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, cilt.35, sa.5, ss.1928-1943, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1002/num.22387
  • Dergi Adı: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1928-1943
  • Anahtar Kelimeler: collocation method, quintic B-spline functions, Rosenau-KdV-RLW, time splitting, CONSERVATION-LAWS, ALGORITHMS, SOLITONS, SCHEME, WAVES
  • İnönü Üniversitesi Adresli: Evet

Özet

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.