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

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

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.