Year: 2026
Type: article
Abstract: The paper utilizes the continuous finite element method to solve stiff ordinary differential equations and proves that the linear finite element method and the quadratic finite element method have A-stability in solving autonomous ordinary differential equations, and exponential dichotomy in solving non-autonomous ordinary differential equations. In the numerical experiments of nonlinear autonomous and non-autonomous strongly and moderately stiff ordinary differential equations, a relatively large step size of h=0.1 was adopted over a longer period of time, with the numerical solution accuracy reaching 10−4. The superconvergence order maintained the theoretical order. A new approach is provided for solving stiff ordinary differential equations.
Source: AppliedMath
Authors: Yanhui Ding, Qiong Tang, Sijia Tang
Institution: Hunan University of Technology
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,207
Award: G3590474432
OpenAlex ID: W7133529664