Hybrid Laplace transform technique for non-linear transient thermal problems

Chen Han-Taw, Lin Jae-Yuh

Research output: Contribution to journalArticle

34 Citations (Scopus)


A hybrid numerical method combining the application of the Laplace transform technique and the finite-difference method (FDM) or the finite-element method (FEM) is presented for non-linear transient thermal problems. The space domain in the governing equation is discretized by FDM or FEM and the non-linear terms are linearized by Taylor's series expansion. The time-dependent terms are removed from the linearized equations by Laplace transformation, and so, the results at a specific time can be calculated without step-by-step computation in the time domain. To show the efficiency and accuracy of the present method several one-dimensional non-linear transient thermal problems are studied.

Original languageEnglish
Pages (from-to)1301-1308
Number of pages8
JournalInternational Journal of Heat and Mass Transfer
Issue number4-5
Publication statusPublished - 1991 Jan 1

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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