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<p>This study focuses on comparing the numerical efficiency of the fractional Tikhonov regularization for the 2-D non-homogeneous time-fractional inverse diffusion equation with Tikhonov regularization, quasi boundary value method and Fourier truncation. The ill-posedness of the system is discussed, followed by the significant derivation of fractional Tikhonov regularization solution and the convergence estimates using priori and posteriori strategy. Numerical illustrations are supplied for the proposed regularization solution.</p>

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Fractional Tikhonov approach for two dimensional time fractional inverse diffusion equation

  • 期刊论文

  • 发表日期：

    2026年2月16日

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  • K. Ramya,
  • J. Kokila,
  • V. Govindaraj

摘要

This study focuses on comparing the numerical efficiency of the fractional Tikhonov regularization for the 2-D non-homogeneous time-fractional inverse diffusion equation with Tikhonov regularization, quasi boundary value method and Fourier truncation. The ill-posedness of the system is discussed, followed by the significant derivation of fractional Tikhonov regularization solution and the convergence estimates using priori and posteriori strategy. Numerical illustrations are supplied for the proposed regularization solution.