On Solutions of Fractional order Telegraph Partial Differential Equation by Crank-Nicholson Finite Difference Method
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Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Walter De Gruyter Gmbh
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The exact solution is calculated for fractional telegraph partial differential equation depend on initial boundary value problem. Stability estimates are obtained for this equation. Crank-Nicholson difference schemes are constructed for this problem. The stability of difference schemes for this problem is presented. This technique has been applied to deal with fractional telegraph differential equation defined by Caputo fractional derivative for fractional orders alpha = 1.1, 1.5, 1.9. Numerical results confirm the accuracy and effectiveness of the technique.
Açıklama
Anahtar Kelimeler
Fractional order Telegraph Partial Differential equations, Finite Difference Method, Stability
Kaynak
Applied Mathematics and Nonlinear Sciences
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
5
Sayı
1