$Analysis of local discontinuous Galerkin method for time-space fractional sine-Gordon equations$

Analysis of local discontinuous Galerkin method for time-space fractional sine-Gordon equations

The aim of the present paper is to introduce a numerical method for time-space fractional sine-Gordon equation. The fractional derivative on the space and on the time are considered in the sense of Reimann–Liouville (of order 1≤β≤2) and in the sense of Caputo (of variable order 1≤α(t)

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Bibliographische Detailangaben
Veröffentlicht in:	Applied numerical mathematics 2020-02, Vol.148, p.1-17
Hauptverfasser:	Ahmadinia, M., Safari, Z.
Format:	Artikel
Sprache:	eng
Schlagworte:	Error estimate Finite difference method Fractional partial differential equations Local discontinuous Galerkin method Stability
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Beschreibung
Zusammenfassung:	The aim of the present paper is to introduce a numerical method for time-space fractional sine-Gordon equation. The fractional derivative on the space and on the time are considered in the sense of Reimann–Liouville (of order 1≤β≤2) and in the sense of Caputo (of variable order 1≤α(t)
ISSN:	0168-9274 1873-5460
DOI:	10.1016/j.apnum.2019.08.003