Adaptive Time-Step Semi-Implicit One-Step Taylor Scheme for Stiff Ordinary Differential Equations
Numerical Analysis
2024-09-19 v1 Numerical Analysis
Abstract
In this study, we propose high-order implicit and semi-implicit schemes for solving ordinary differential equations (ODEs) based on Taylor series expansion. These methods are designed to handle stiff and non-stiff components within a unified framework, ensuring stability and accuracy. The schemes are derived and analyzed for their consistency and stability properties, showcasing their effectiveness in practical computational scenarios.
Cite
@article{arxiv.2409.11990,
title = {Adaptive Time-Step Semi-Implicit One-Step Taylor Scheme for Stiff Ordinary Differential Equations},
author = {S. Boscarino and E. Macca},
journal= {arXiv preprint arXiv:2409.11990},
year = {2024}
}