Fourier Truncation Regularization Method for a Time-Fractional Backward Diffusion Problem with a Nonlinear Source

Fourier Truncation Regularization Method for a Time-Fractional Backward Diffusion Problem with a Nonlinear Source

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In present paper, we deal with a backward diffusion problem for a time-fractional diffusion problem with a nonlinear source in a strip domain.We all know this nonlinear problem is severely ill-posed, 7-OH i.e., the solution does not depend continuously on the measurable data.

Therefore, we use the Fourier truncation regularization method to solve this problem.Under an a priori skateboards hypothesis and an a priori regularization parameter selection rule, we obtain the convergence error estimates between the regular solution and the exact solution at 0 ≤ x < 1.