Efficient Explicit-Implicit Finite Difference Algorithm for Transient Heat Conduction Problems

Koichi Anzai, Toshio Uchida

Research output: Contribution to journalArticlepeer-review


An efficient explicit-implicit finite difference algorithm for the transient heat conduction problem is developed. The algorithm is based on the alternative use of the explicit and implicit scheme for the time integral of the transient heat conduction equation depending on the total heat conductance of mesh elements. The algorithm has so simple a structure that it can be applicable to a variety of transient heat conduction problems. Particularly, the algorithm is effective for multi domain problems and strongly irregular mesh problems. In this paper, the basic idea of the algorithm and a method to determine an optimum time increment are described. Also, the evaluated results of accuracy and acceleration of the calculation by the application to the one-dimensional transient heat conduction problems are described.

Original languageEnglish
Pages (from-to)1434-1441
Number of pages8
JournalTransactions of the Japan Society of Mechanical Engineers Series B
Issue number536
Publication statusPublished - 1991
Externally publishedYes


  • Computer Algorithm
  • Explicit-Implicit Method
  • Finite Difference Method
  • Heat Conduction
  • Numerical Analysis

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering


Dive into the research topics of 'Efficient Explicit-Implicit Finite Difference Algorithm for Transient Heat Conduction Problems'. Together they form a unique fingerprint.

Cite this