Two hybrid methods for solving two-dimensional linear time-fractional partial differential equations
type: Item
instance of: scholarly article
title: Two hybrid methods for solving two-dimensional linear time-fractional partial differential equations
zbMATH Open document ID: 1474.65389
DOI: 10.1155/2014/757204
author: Xianqiang Yang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: A computationally efficient hybridization of the Laplace transform with two spatial discretization techniques is investigated for numerical solutions of time-fractional linear partial differential equations in two space variables. The Chebyshev collocation method is compared with the standard finite difference spatial discretization and the absolute error is obtained for several test problems. Accurate numerical solutions are achieved in the Chebyshev collocation method subject to both Dirichlet and Neumann boundary conditions. The solution obtained by these hybrid methods allows for the evaluation at any point in time without the need for time-marching to a particular point in time.
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7023025
Wikidata QID: Q59041269
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/757204
OpenAlex ID: W2105689912
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description: scientific article; zbMATH DE number 7023025