Construction and investigation of new numerical algorithms for the heat equation

Part II

Authors

  • Mahmoud Saleh University of Miskolc
  • Ádám Nagy University of Miskolc
  • Endre Kovács University of Miskolc

DOI:

https://doi.org/10.35925/j.multi.2020.4.37

Keywords:

explicit numerical methods, heat equation, parabolic PDEs, hopscotch method, UPFD

Abstract

This paper is the second part of a paper-series in which we create and examine new numerical methods for solving the heat conduction equation. Now we present numerical test results of the new algorithms which have been constructed using the known, but non-conventional UPFD and odd-even hopscotch methods in Part 1. Here all studied systems have one space dimension and the physical properties of the heat conducting media are uniform. We also examine different possibilities of treating heat sources.

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Published

2020-12-17