Collocation and finite difference-collocation methods for the solution of nonlinear Klein-Gordon equation

Lakestanı M., Dehghan M.

Computer Physics Communications, cilt.181, sa.8, ss.1392-1401, 2010 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 181 Sayı: 8
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.cpc.2010.04.006
  • Dergi Adı: Computer Physics Communications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1392-1401
  • Anahtar Kelimeler: Cubic B-spline function, Nonlinear Klein-Gordon, Operational matrix of derivative
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

Two numerical techniques based on the finite difference and collocation methods are presented for the solution of nonlinear Klein-Gordon equation. The operational matrix of derivative for the cubic B-spline scaling functions is presented and is utilized to reduce the solution of nonlinear Klein-Gordon equation to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the new techniques. © 2010 Elsevier B.V. All rights reserved.