The applications of non-polynomial spline to the numerical solution for fractional differential equations
Küçük Resim Yok
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
This paper presents a computation and discuss on non-polynomial spline of fractional order to solve the differential equations with Caputo fractional derivative. Taylor series is applied to discretize the time derivative of the function. Several examples are considered to confirm the accuracy of the spline method and to show the completion of non-polynomial spline. In addition, we discuss the numerical computations provident and can be used to solve complex problems, also the results are obtained to be in a nice error estimation with known exact solutions.
Açıklama
Anahtar Kelimeler
Spline approximation, fractional derivative, convergence analysis, error bound
Kaynak
Fourth International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
K. Hamasalh, F. ve Headayat, M.A. (2021). The applications of non-polynomial spline to the numerical solution for fractional differential equations. Fourth International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-8.
