Laguerre polynomial approach for solving nonlinear Klein-Gordon equations

Gürbüz B., Sezer M.

Malaysian Journal of Mathematical Sciences, vol.11, no.2, pp.191-203, 2017 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 2
  • Publication Date: 2017
  • Journal Name: Malaysian Journal of Mathematical Sciences
  • Journal Indexes: Scopus
  • Page Numbers: pp.191-203
  • Keywords: Laguerre matrix method, Laguerre polynomials and series with two variables Collocation points, Nonlinear Klein-Gordon equations
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

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.