Fibonacci collocation method for solving a class of nonlinear pantograph differential equations

ÇAKMAK M.

Mathematical Methods in the Applied Sciences, cilt.45, sa.17, ss.11962-11976, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 17
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1002/mma.8636
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.11962-11976
  • Anahtar Kelimeler: delay equations, Fibonacci collocation method, nonlinear differential equations, Pantograph equations
  • Hatay Mustafa Kemal Üniversitesi Adresli: Evet

Özet

In this study, a collocation method based on Fibonacci polynomials is used for approximately solving a class of nonlinear pantograph differential equations with initial and boundary conditions. The problem is first reduced into a nonlinear algebraic system via collocation points, later the unknown coefficients of the approximate solution function are calculated. Also, some problems are presented to test the performance of the proposed method by using the absolute error functions. Additionally, the obtained numerical results are compared with exact solutions of the test problems and approximate ones obtained with other methods in literature.