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Fast precise integration method for hyperbolic heat conduction problems

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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.

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Authors and Affiliations

  1. State Key Laboratory of Structural Analysis of Industrial Equipment, Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian, 116023, Liaoning Province, P. R. China

    Feng Wu  (吴 峰), Qiang Gao  (高 强) & Wan-xie Zhong  (钟万勰)

Authors
  1. Feng Wu  (吴 峰)
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  2. Qiang Gao  (高 强)
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  3. Wan-xie Zhong  (钟万勰)
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Corresponding author

Correspondence to Qiang Gao  (高 强).

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 10902020 and 10721062)

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Wu, F., Gao, Q. & Zhong, Wx. Fast precise integration method for hyperbolic heat conduction problems. Appl. Math. Mech.-Engl. Ed. 34, 791–800 (2013). https://doi.org/10.1007/s10483-013-1707-6

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  • DOI: https://doi.org/10.1007/s10483-013-1707-6

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Chinese Library Classification

2010 Mathematics Subject Classification

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