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A high-order space-time spectral method for the distributed-order time-fractional telegraph equation

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Abstract

In this paper, a high-order and fast numerical method based on the space-time spectral scheme is obtained for solving the space-time fractional telegraph equation. In the proposed method, for discretization of temporal and spatial variables, we consider two cases. We use the Legendre functions for discretization in time. To obtain the full discrete numerical approach, we use a Fourier-like orthogonal function. The convergence and stability analysis for the presented numerical approach is studied and analyzed. Some numerical examples are given for the effectiveness of the numerical approach.

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Authors and Affiliations

  1. Department of Industrial Engineering, Apadana Institute of Higher Education, Shiraz, Iran

    M. H. Derakhshan

  2. Department of Mathematics, Mathematics Research Center, Near East University TRNC, Mersin 10, Turkey

    Pushpendra Kumar

  3. Faculty of Engineering and Natural Sciences, Istanbul Okan University, Istanbul, Turkey

    Pushpendra Kumar & Soheil Salahshour

  4. Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey

    Soheil Salahshour

  5. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

    Soheil Salahshour

Authors
  1. M. H. Derakhshan
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  2. Pushpendra Kumar
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  3. Soheil Salahshour
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Contributions

MHD was involved in the conceptualization, visualization, resources, formal analysis, software, investigation, and writing—original draft. PK contributed to the conceptualization, investigation, visualization, writing—review and editing. SS contributed to the formal analysis, supervision, writing–review and editing.

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Correspondence to Pushpendra Kumar.

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Derakhshan, M.H., Kumar, P. & Salahshour, S. A high-order space-time spectral method for the distributed-order time-fractional telegraph equation. Int. J. Dynam. Control (2024). https://doi.org/10.1007/s40435-024-01408-5

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  • DOI: https://doi.org/10.1007/s40435-024-01408-5

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