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

被引：43

作者：

Modanli, Mahmut ^{[1
]}

Akgul, Ali ^{[2
]}

机构：

[1] Harran Univ, Fac Arts & Sci, Dept Math, TR-63300 Sanliurfa, Turkey

[2] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkey

来源：

APPLIED MATHEMATICS AND NONLINEAR SCIENCES | 2020年 / 5卷 / 01期

关键词：

Fractional order Telegraph Partial Differential equations; Finite Difference Method; Stability; DIFFUSION; APPROXIMATION;

D O I：

10.2478/AMNS.2020.1.00015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：163 / 170

页数：8

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