Open AccessConstruction and investigation of new numerical algorithms for the heat equation : Part 3
Author(s) -
Mahmoud Saleh,
Ádám Nagy,
Endre Kovács
Publication year - 2020
Publication title -
multidiszciplináris tudományok
Language(s) - English
Resource type - Journals
eISSN - 2786-1465
pISSN - 2062-9737
DOI - 10.35925/j.multi.2020.4.38
Subject(s) - dimension (graph theory) , series (stratigraphy) , heat equation , space (punctuation) , numerical analysis , algorithm , mathematics , thermal conduction , computer science , mathematical analysis , physics , paleontology , thermodynamics , pure mathematics , operating system , biology
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.