Scholarlink

<p>In this essay, the source term inversion of time-fractional order telegraph equation is studied. This question is ill-posed and the conditional stableness is given. This paper employs the modified quasi-inverse and Landweber iterative regularization techniques, respectively, to recover its stableness, and acquire the corresponding regularization solutions. Based around the precondition of priori bound situation and discrepancy theory, the convergent error estimates for the priori and posteriori are provided. The efficacy and stableness of the proposed methods are attested by some numeric experiments.</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

Two regularization approaches for identifying the source term of time-fractional telegraph equation

  • 期刊论文

  • 发表日期：

    2025年6月12日

查看全文
  • Ying-Qing Liang,
  • Fan Yang,
  • Xiao-Xiao Li

摘要

In this essay, the source term inversion of time-fractional order telegraph equation is studied. This question is ill-posed and the conditional stableness is given. This paper employs the modified quasi-inverse and Landweber iterative regularization techniques, respectively, to recover its stableness, and acquire the corresponding regularization solutions. Based around the precondition of priori bound situation and discrepancy theory, the convergent error estimates for the priori and posteriori are provided. The efficacy and stableness of the proposed methods are attested by some numeric experiments.