Laguerre polynomial approach for solving nonlinear Klein-Gordon equations

Gürbüz B., Sezer M.

Malaysian Journal of Mathematical Sciences, cilt.11, sa.2, ss.191-203, 2017 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 2
  • Basım Tarihi: 2017
  • Dergi Adı: Malaysian Journal of Mathematical Sciences
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.191-203
  • Anahtar Kelimeler: Laguerre matrix method, Laguerre polynomials and series with two variables Collocation points, Nonlinear Klein-Gordon equations
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this work, we develop a matrix method based on collocation points and Laguerre polynomials to obtain the numerical approximations of the onedimensional nonlinear Klein-Gordon equations. The method is applied on some numerical examples. Also, the numerical results and their exact solutions are compared with other applications. The accuracy and the effectiveness of the method are demonstrated by the results.