On Solutions of Fractional order Telegraph Partial Differential Equation by Crank-Nicholson Finite Difference Method

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Tarih

2020

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

Künye