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

被引：3

作者：

Derakhshan, M. H. ^{[1
]}

Kumar, Pushpendra ^{[2
,3
]}

Salahshour, Soheil ^{[3
,4
,5
]}

机构：

[1] Apadana Inst Higher Educ, Dept Ind Engn, Shiraz, Iran

[2] Near East Univ TRNC, Math Res Ctr, Mersin 10, TR-99138 Nicosia, Turkiye

[3] Istanbul Okan Univ, Fac Engn & Nat Sci, Istanbul, Turkiye

[4] Bahcesehir Univ, Fac Engn & Nat Sci, Istanbul, Turkiye

[5] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut, Lebanon

来源：

INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL | 2024年 / 12卷 / 08期

关键词：

Spectral scheme; Distributed-order fractional operator; Legendre function; Stability and convergence; DIFFERENTIAL-EQUATIONS; DIFFUSION; DISPERSION; SCHEMES;

D O I：

10.1007/s40435-024-01408-5

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：2778 / 2794

页数：17

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