Numerical solutions of the Kawahara type equations using radial basis functions

DERELİ Y., Dag İ.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, cilt.28, sa.2, ss.542-553, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 2
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1002/num.20633
  • Dergi Adı: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.542-553
  • Anahtar Kelimeler: collocation method, Kawahara equation, radial basis functions, SOLITARY WAVE SOLUTIONS, 5TH-ORDER KDV EQUATION, TANH-FUNCTION METHOD, NONLINEAR-WAVES, SOLITONS
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

This study is carried out to investigate the numerical solutions of the Kawahara, KdV-Kawahara, and the modified Kawahara equations by using the meshless method based on collocation with radial basis functions. Results of the meshless method with different radial basis functions are presented for the travelling wave solution of the Kawahara type equations. (c) 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 542553, 2012