Numerical Solutions of the Symmetric Regularized Long Wave Equation Using Radial Basis Functions

KAPLAN A. G., Dereli Y.

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, cilt.84, sa.5, ss.423-437, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 84 Sayı: 5
  • Basım Tarihi: 2012
  • Dergi Adı: CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.423-437
  • Anahtar Kelimeler: Radial basis function, collocation method, SRLW equation, DECAY
  • Anadolu Üniversitesi Adresli: Evet

Özet

In this study, the nonlinear symmetric regularized long wave equation was solved numerically by using radial basis functions collocation method. The single solitary wave solution, the interaction of two positive solitary waves and the clash of two solitary waves were studied. Numerical results and simulations of the wave motions were presented. Validity and accuracy of the method was tested by compared with results in the literature.