Khayrullayev, Husniddin and Kovács, Endre (2024) Comprehensive investigation of the explicit, positivity preserving methods for the heat equation : Part 1. MULTIDISZCIPLINÁRIS TUDOMÁNYOK: A MISKOLCI EGYETEM KÖZLEMÉNYE, 14 (1). pp. 46-59. ISSN 2062-9737
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Abstract
In this paper-series, we investigate the performance of 12 explicit non-conventional algorithms. All of them have the convex combination property, thus they are unconditionally stable and preserve the positivity of the solution when they applied to the heat equation. In this part of the series, we construct several 2D systems to find how the errors depend on the time step size. Sweeps for other key parameters will be presented in the next part of the series.
| Item Type: | Article |
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| Uncontrolled Keywords: | explicit numerical methods, unconditional stability, heat equation, parabolic PDEs |
| Subjects: | T Technology / alkalmazott, műszaki tudományok > TK Electrical engineering. Electronics Nuclear engineering / elektrotechnika, elektronika, atomtechnika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 06 Feb 2025 09:23 |
| Last Modified: | 06 Feb 2025 09:23 |
| URI: | https://real.mtak.hu/id/eprint/215234 |
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