A difference scheme with intrinsic parallelism for fractional diffusion-wave equation with damping
type: Item
instance of: scholarly article
title: A difference scheme with intrinsic parallelism for fractional diffusion-wave equation with damping
zbMATH Open document ID: 1482.65155
author: Lifei Wu
author: Min Li
author: Xiaozhong Yang
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2021-08-17T00:00:00Z
review text: An alternating segment Crank-Nicolson (ASC-N) difference scheme has been constructed for solving the time-fractional diffusion-wave equation with damping. The authors show that the scheme is unconditionally stable and convergent, which is validated by two numerical examples. The ASC-N scheme is more efficient than the Crank-Nicolson (C-N) scheme with increasing the number of space grids. The inherent parallelism of the scheme allows higher accuracy and efficiency for solving fractional differential equations.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7382613
zbMATH Keywords: time fractional diffusion-wave equation with damping
zbMATH Keywords: intrinsic parallelism
zbMATH Keywords: ASC-N scheme
zbMATH Keywords: stability
zbMATH Keywords: parallel computing
reviewed by: Bülent Karasözen
MaRDI profile type: Publication
full work available at URL: s10255-021-1015-y
OpenAlex ID: W3191185470
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DOI: 10.1007/S10255-021-1015-Y
description: scientific article; zbMATH DE number 7382613