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论文类型：期刊论文

发表时间：2013-07-01

发表刊物：APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION

收录刊物：SCIE、EI

卷号：34

期号：7

页面范围：791-800

ISSN号：0253-4827

关键字：hyperbolic heat conduction; sparse matrix; precise integration method; matrix exponential; fast algorithm

摘要：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.