Crank-Nicholson difference method and reproducing kernel function for third order fractional differential equations in the sense of Atangana-Baleanu Caputo derivative
[ X ]
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, the third order partial differential equation defined by Caputo fractional derivative with Atangana-Baleanu derivative has been investigated. The stability estimates are proved for the exact solution. Difference schemes for Crank-Nicholson finite difference scheme method is constructed. The stability of difference schemes for this problem is shown by Von Neumann method (Fourier analysis method). Numerical results with respect to the exact solution confirm the accuracy and effectiveness of the technique. The reproducing kernel function for the problem has been found. (C) 2019 Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
Stability, Exact solutionss, Approximate solutions, Reproducing kernel Hilbert space
Kaynak
Chaos Solitons & Fractals
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
127
