Fibonacci operational matrix algorithm for solving differential equations of Lane-Emden type
Yükleniyor...
Dosyalar
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Sakarya Üniversitesi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-ShareAlike 3.0 United States
Attribution-NonCommercial-ShareAlike 3.0 United States
Özet
The aim of this study is to provide an effective and accurate technique for solving differential equations of
Lane-Emden type as initial value problems. In this study, a numerical method called Fibonacci polynomial
approximation method (FPAM) establish for approximate solution of Lane-Emden type differential
equations by using Fibonacci polynomials. A matrix equation can be solved depending on the reduced form
of the Lane-Emden type differential equations, which is characterized by an algebraic equation system,
with the matrix relations of Fibonacci polynomials and their derivatives and their unknown Fibonacci
coefficients. In addition, numerical results are given by comparisons to confirm the reliability of the
proposed method for Lane-Emden type differential equations.
Açıklama
Anahtar Kelimeler
Fibonacci polynomials, Functional differential equations, Lane-Emden equation, Operational matrix, Polynomial approach
Kaynak
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
WoS Q Değeri
Scopus Q Değeri
Cilt
23
Sayı
3
Künye
Çakmak, M. (2019). Fibonacci Operational Matrix Algorithm For Solving Differential Equations Of Lane-Emden Type. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 23(3), 478-485.
