Saleh, Mahmoud and Nagy, Ádám and Kovács, Endre (2020) Construction and investigation of new numerical algorithms for the heat equation : Part II. MULTIDISZCIPLINÁRIS TUDOMÁNYOK: A MISKOLCI EGYETEM KÖZLEMÉNYE, 10 (4). pp. 339-348. ISSN 2062-9737 (nyomtatott), 2786-1465 (online)
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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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | explicit numerical methods, heat equation, parabolic PDEs, hopscotch method, UPFD |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika Q Science / természettudomány > QC Physics / fizika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 02 May 2023 07:32 |
| Last Modified: | 02 May 2023 07:32 |
| URI: | http://real.mtak.hu/id/eprint/164648 |
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