Hybrid Laplace transform/finite difference method for transient heat conduction problems

Han-Taw Chen, Cha'O‐Kuang ‐K Chen

研究成果: Article同行評審

21 引文 斯高帕斯(Scopus)

摘要

The new method involving the combined use of the Laplace transform and the finite difference method is applicable to the problem of time‐dependent heat flow systems. The present method removes the time derivatives from the governing differential equation using the Laplace transform and then solves the associated equation with the finite difference method. The transformed temperature is inverted numerically by the method of Honig and Hirdes to obtain the result in the physical quantities. The present results are compared in tables with exact solutions and those obtained from the combined use of the Laplace transform and the finite element method. It is found that the present method is reliable and efficient.

原文English
頁(從 - 到)1433-1447
頁數15
期刊International Journal for Numerical Methods in Engineering
26
發行號6
DOIs
出版狀態Published - 1988 一月 1

All Science Journal Classification (ASJC) codes

  • 數值分析
  • 工程 (全部)
  • 應用數學

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