New stable method to solve heat conduction problems in extremely large systems
Computational Engineering, Finance, and Science
2019-09-02 v1 Numerical Analysis
Numerical Analysis
Computational Physics
Data Analysis, Statistics and Probability
Fluid Dynamics
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.
Keywords
Cite
@article{arxiv.1908.11852,
title = {New stable method to solve heat conduction problems in extremely large systems},
author = {Endre Kovács and András Gilicz},
journal= {arXiv preprint arXiv:1908.11852},
year = {2019}
}
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9 pages