An implicit difference scheme and algorithm implementation for the one-dimensional time-fractional Burgers equations

An implicit difference scheme with the truncation of order 2−α(0<α<1) for time and order 2 for space is considered for the one-dimensional time-fractional Burgers equations. The L1-discretization formula of the fractional derivative in the Caputo sense is employed. The second-order spatial der...

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Veröffentlicht in:	Mathematics and computers in simulation Jg. 166; S. 298 - 314
Hauptverfasser:	Qiu, Wenlin, Chen, Hongbin, Zheng, Xuan
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Elsevier B.V 01.12.2019
Schlagworte:	[formula omitted]-discretization formula Algorithm implementation Implicit difference scheme One-dimensional time-fractional Burgers equations Stability and convergence L1-discretization formula Implicit difference scheme Algorithm implementation One-dimensional time-fractional Burgers equations Stability and convergence
ISSN:	0378-4754, 1872-7166
Online-Zugang:	Volltext
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