An α-robust fast algorithm for distributed-order time–space fractional diffusion equation with weakly singular solution

A fast algorithm is proposed for solving two-dimensional distributed-order time–space fractional diffusion equation where the solution has a weak singularity at initial time. The distributed-order fractional problem is firstly transformed into multi-term fractional problem by the Gauss–Legendre quad...

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Bibliographic Details

Published in:	Mathematics and computers in simulation Vol. 207; pp. 437 - 452
Main Authors:	Sun, Lu-Yao, Lei, Siu-Long, Sun, Hai-Wei, Zhang, Jia-Li
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.05.2023
Subjects:	[formula omitted]-robust Distributed-order time–space fractional equation Exponential-sum-approximation method Sine transform based preconditioner Singularity Singularity Sine transform based preconditioner Distributed-order time–space fractional equation Exponential-sum-approximation method α-robust
ISSN:	0378-4754, 1872-7166
Online Access:	Get full text
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