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September 10, 2025Mathematics of Computation

Numerical reconstruction and analysis of backward semilinear subdiffusion problems

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Authors

XWXu WuJYJiang YangZZZhi Zhou

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Overview

Analysis shows unique solutions for semilinear subdiffusion inverse problems, suggesting effective numerical reconstruction methods.

Key Points

  • The study establishes uniqueness and stability for solutions to the inverse problem of semilinear subdiffusion equations.
  • A fixed-point iteration method is developed to construct a numerical reconstruction scheme with a thorough error analysis provided.
  • This research employs the quasi-boundary value method for regularization, enhancing stability for mildly ill-posed problems.
  • An iterative algorithm is demonstrated to solve the fully discrete scheme, proving its linear convergence with numerical examples.

Cite This Study

Wu et al. (2025) studied this question.

synapsesocial.com/papers/68c1b60654b1d3bfb60ead96https://doi.org/10.1090/mcom/4116
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