Construction and investigation of new numerical algorithms for the heat equation

Part III


  • 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 third part of a paper-series in which we create and examine new numerical methods for solving the heat conduction equation. Now we present additional numerical test results of the new algorithms which were constructed using the known, but non-conventional UPFD and odd-even hopscotch methods in Part 1. In Part 2 these methods were tested in one space dimension, while in this part of the series, we present numerical case studies for two and three space dimensions, as well as for inhomogeneous media.