Sinc-Galerkin method for solving the time fractional convection–diffusion equation with variable coefficients

Autor:	Li Juan Chen, MingZhu Li, Qiang Xu
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Sinc-Galerkin method Fractional convection–diffusion equation Convergence Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-16 (2020)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-020-02959-5
Popis:	Abstract In this paper, a new numerical algorithm for solving the time fractional convection–diffusion equation with variable coefficients is proposed. The time fractional derivative is estimated using the L 1 $L_{1}$ formula, and the spatial derivative is discretized by the sinc-Galerkin method. The convergence analysis of this method is investigated in detail. The numerical solution is 2 − α $2-\alpha$ order accuracy in time and exponential rate of convergence in space. Finally, some numerical examples are given to show the effectiveness of the numerical scheme.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/0bd523f775a5457a8b12a4fbd47adc0c Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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