Scholarlink

<p>This paper studies the sideways problem of a nonlinear time-fractional diffusion equation. This is a severely nonlinear ill-posed problem, and a Fourier regularization method is used to solve the problem. We derive a priori error estimates and a posteriori error estimates of the regularization solution under a priori parameter and a posteriori parameter choice rules, respectively. Numerical results show the stability and effectiveness of the proposed regularization 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

Fourier regularization for solving sideways problem of a nonlinear time-fractional diffusion equation

  • 期刊论文

  • 发表日期：

    2025年2月12日

查看全文
  • Hanghang Wu,
  • Hongqi Yang

摘要

This paper studies the sideways problem of a nonlinear time-fractional diffusion equation. This is a severely nonlinear ill-posed problem, and a Fourier regularization method is used to solve the problem. We derive a priori error estimates and a posteriori error estimates of the regularization solution under a priori parameter and a posteriori parameter choice rules, respectively. Numerical results show the stability and effectiveness of the proposed regularization method.