Solution of fractional telegraph equation with Riesz space-fractional derivative

Mohammadian, S.; Mahmoudi, Yaghoub; Saei, Farhad Dastmalchi

doi:10.3934/math.2019.6.1664

Cited by 6 publications

(1 citation statement)

References 14 publications

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“…Some authors investigated fractional order partial differential equations [2,15,17] and delay fractional partial differential equations [8]. Numerical approximations and solution techniques for the space-time fractional telegraph equations were studied in [14]. The development of efficient numerical methods to solve the Riesz space fractional telegraph equation with time delay is still an important issue.…”

Section: Introductionmentioning

confidence: 99%

Stability and Error of the New Numerical Solution of Fractional Riesz Space Telegraph Equation With Time Delay

et al. 2022

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In this paper, we propose a numerical method for Riesz space fractional telegraph equation with time delay. The Riesz fractional telegraph equation is approximated with the interpolating polynomial P2. First a system of fractional differential equations are obtained from the telegraph equation with respect to the time variable. Then our numerical algorithm is proposed. The convergence order and stability of the fractional order algorithms are proved. Finally, some numerical examples are constructed to describe the usefulness and profitability of the numerical method. Numerical results show that the accuracy of order O(t3).

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