Numerical solutions of KdV equation using radial basis functions

DAĞ İ., DERELİ Y.

APPLIED MATHEMATICAL MODELLING, cilt.32, sa.4, ss.535-546, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 4
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.apm.2007.02.001
  • Dergi Adı: APPLIED MATHEMATICAL MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.535-546
  • Anahtar Kelimeler: radial basis functions, KdV equation, COLLOCATION METHODS, GALERKIN METHODS
  • Anadolu Üniversitesi Adresli: Evet

Özet

Numerical solution of the Korteweg-de Vries equation is obtained by using the meshless method based on the collocation with radial basis functions. Five standard radial basis functions are used in the method of the collocation. The results are compared for the numerical experiments of the propagation of solitons, interaction of two solitary waves and breakdown of initial conditions into a train of solitons. (c) 2007 Elsevier Inc. All rights reserved.