Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-07-01

Journal: APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION

Included Journals: EI、SCIE

Volume: 34

Issue: 7

Page Number: 791-800

ISSN: 0253-4827

Key Words: hyperbolic heat conduction; sparse matrix; precise integration method; matrix exponential; fast algorithm

Abstract: A fast precise integration method is developed for the time integral of the hyperbolic heat conduction problem. The wave nature of heat transfer is used to analyze the structure of the matrix exponential, leading to the fact that the matrix exponential is sparse. The presented method employs the sparsity of the matrix exponential to improve the original precise integration method. The merits are that the proposed method is suitable for large hyperbolic heat equations and inherits the accuracy of the original version and the good computational efficiency, which are verified by two numerical examples.