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

Mahmut Modanlı, Ali Akgül

Type: Article

Publication Date: 2020-01-01

Citations: 45

DOI: https://doi.org/10.2478/amns.2020.1.00015

Abstract

Abstract 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 α = 1.1, 1.5, 1.9. Numerical results confirm the accuracy and effectiveness of the technique.

Locations

Applied Mathematics and Nonlinear Sciences - View - PDF

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