Scholarlink

<p>This paper investigates the uniformly exponential stability of a spatially semi-discrete finite difference scheme for a one-dimensional thermoelastic system. The frequency domain approach is employed due to the difficulty of constructing a suitable time-domain multiplier for the continuous system. A novel semi-discrete finite difference scheme is developed using the order-reduction method. The uniform exponential stability of the resulting semi-discrete system is then established through a discrete counterpart of the frequency domain method.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Spatially semi-discretely uniformly exponential stability approximation for one-dimensional thermoelastic system

  • 期刊论文

  • 发表日期：

    2026年4月6日

查看全文
  • Jiankang Liu,
  • Bao-Zhu Guo

摘要

This paper investigates the uniformly exponential stability of a spatially semi-discrete finite difference scheme for a one-dimensional thermoelastic system. The frequency domain approach is employed due to the difficulty of constructing a suitable time-domain multiplier for the continuous system. A novel semi-discrete finite difference scheme is developed using the order-reduction method. The uniform exponential stability of the resulting semi-discrete system is then established through a discrete counterpart of the frequency domain method.