Kovács, Endre and Gilicz, András (2018) New stable method to solve heat conduction problems in extremely large systems. DESIGN OF MACHINES AND STRUCTURES, 8 (2). pp. 30-38. ISSN 1785-6892
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Official URL: https://doi.org/10.32972/dms.2018.010
Abstract
We present a new explicit and stable numerical algorithm to solve the homogeneous heat equation. We illustrate the performance of the new method in the cases of two 2D systems with highly inhomogeneous random parameters. Spatial discretization of these problems results in huge and stiff ordinary differential equation systems, which can be solved by our novel method faster than by explicit or the commonly used implicit methods.
| Item Type: | Article |
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| Uncontrolled Keywords: | heat transfer, heat conduction, numerical simulation, stiff equations |
| Subjects: | T Technology / alkalmazott, műszaki tudományok > T2 Technology (General) / műszaki tudományok általában |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 08 Nov 2026 14:55 |
| Last Modified: | 08 Nov 2026 14:55 |
| URI: | https://real.mtak.hu/id/eprint/249763 |
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