Saleh, Mahmoud and Nagy, Ádám and Kovács, Endre (2020) Construction and investigation of new numerical algorithms for the heat equation : Part III. MULTIDISZCIPLINÁRIS TUDOMÁNYOK: A MISKOLCI EGYETEM KÖZLEMÉNYE, 10 (4). pp. 349-360. ISSN 2062-9737 (nyomtatott), 2786-1465 (online)
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Abstract
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.
| Item Type: | Article |
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| 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 07:31 |
| Last Modified: | 02 May 2023 07:31 |
| URI: | http://real.mtak.hu/id/eprint/164647 |
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