Construction and investigation of new numerical algorithms for the heat equation

Part II


  • Saleh Mahmoud Miskolci Egyetem
  • Nagy Ádám Miskolci Egyetem
  • Kovács Endre Miskolci Egyetem



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


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.