We introduce a novel explicit and stable numerical algorithm to solve the spatially discretized heat or diffusion equation. We compare the performance of the new method with analytical and numerical solutions. We show that the method is first order in time and can give approximate results for extremely large systems faster than the commonly used explicit or implicit methods.
@article{arxiv.1908.09500,
title = {New stable, explicit, first order method to solve the heat conduction equation},
author = {Endre Kovács},
journal= {arXiv preprint arXiv:1908.09500},
year = {2020}
}