Hybrid Laplace transform/finite-element method for two-dimensional transient heat conduction

Han Taw Chen, Cha'o Kuang Chen

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


A powerful method of analysis, the combined use of the Laplace transform and the finite-element method, is applicable to the problem of time-dependent heat flow systems. The present method removes the time terms using the Laplace transform and then solves the associated equation with the finite-element technique. The associated temperature transform is inverted by the method of Dubner and Abate for obtaining the required results. The present results are compared in tables to the analytical solutions and other numerical data, and it is found that the present solutions are stable and convergent to them. There exists no time step; thus, the present method is a useful tool in solving lengthy problems or in other engineering applications.

Original languageEnglish
Pages (from-to)31-36
Number of pages6
JournalJournal of thermophysics and heat transfer
Issue number1
Publication statusPublished - 1988

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Aerospace Engineering
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes
  • Space and Planetary Science


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