BIT Numerical Mathematics

, Volume 9, Issue 4, pp 315–323 | Cite as

A new explicit three-level difference scheme for the solution of the heat flow equation

  • Apostolos Hadjidimos
Article

Abstract

A new explicit three-level difference scheme for the numerical solution of the heat flow equation is proposed. The main features of the new scheme are: i) it is unconditionally stable, ii) it is very highly accurate from the point of view of the truncation error, and iii) its solution converges to the solution of the heat equation even if the time and the distance increments tend to zero independently.

Keywords

Heat Flow Computational Mathematic Difference Scheme Heat Equation Truncation Error 

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References

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Copyright information

© BIT Foundations 1969

Authors and Affiliations

  • Apostolos Hadjidimos
    • 1
  1. 1.The New University of Ulster ColeraineLondonderryNorthern Ireland

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