Fibonacci Collocation Method for Solving a Class of Nonlinear Differential Equations
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Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Association of Mathematicians (MATDER)
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, a collocation method based on Fibonacci polynomials is used for approximately solving a class of nonlinear differential equations with initial conditions. The problem is firstly 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 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. © MatDer.
Açıklama
Anahtar Kelimeler
Fibonacci collocation method, initial value problems, nonlinear differential equations
Kaynak
Turkish Journal of Mathematics and Computer Science
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
15
Sayı
1
