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

Han-Taw Chen, Cha'O‐Kuang ‐K Chen

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1433-1447
Number of pages15
JournalInternational Journal for Numerical Methods in Engineering
Volume26
Issue number6
DOIs
Publication statusPublished - 1988 Jan 1

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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