Two alternating direction implicit difference schemes for solving the two-dimensional time distributed-order wave equations
type: Item
instance of: scholarly article
title: Two alternating direction implicit difference schemes for solving the two-dimensional time distributed-order wave equations
zbMATH Open document ID: 1372.65230
author: Guang-Hua Gao
author: Zhizhong Sun
published in: Journal of Scientific Computing
publication date: 2017-08-10T00:00:00Z
review text: The authors study two alternating direction implicit difference schemes for solving the two-dimensional time distributed-order wave equations. They first provide numerical quadrature formulae, a fractional numerical differentiation formula and some useful notations. Derivation of alternating direction implicit (ADI) difference scheme in space and distributed order with unconditional stability and convergence analysis is given. A fourth-order difference scheme and its stability and convergence using the discrete energy method are provided. Numerical experiments are given to illustrate the efficiency and numerical convergence orders of the proposed algorithms.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 6759213
zbMATH Keywords: distributed order
zbMATH Keywords: fractional wave equations
zbMATH Keywords: stability
zbMATH Keywords: convergence
zbMATH Keywords: alternating direction implicit difference scheme
zbMATH Keywords: numerical experiments
reviewed by: Seenith Sivasundaram
MaRDI profile type: Publication
full work available at URL: s10915-016-0208-7
OpenAlex ID: W2338894593
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DOI: 10.1007/S10915-016-0208-7
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description: scientific article; zbMATH DE number 6759213