A matrix method based on the Fibonacci polynomials to the generalized pantograph equations with functional arguments

Koҫ A. B., ÇAKMAK M., Kurnaz A.

Advances in Mathematical Physics, cilt.2014, 2014 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2014
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1155/2014/694580
  • Dergi Adı: Advances in Mathematical Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Hatay Mustafa Kemal Üniversitesi Adresli: Evet

Özet

A pseudospectral method based on the Fibonacci operational matrix is proposed to solve generalized pantograph equations with linear functional arguments. By using this method, approximate solutions of the problems are easily obtained in form of the truncated Fibonacci series. Some illustrative examples are given to verify the efficiency and effectiveness of the proposed method. Then, the numerical results are compared with other methods.