解一类时间分数阶逆扩散问题的 Landweber 迭代法

Abstract

Abstract:

In this paper, an inverse diffusion problem with the Caputo fractional derivative in time is considered. We prove that such a problem is ill-posed and apply the Landweber iteration method. The selection criteria for the number of iterations (regularization parameter) under both prior and posterior conditions are provided respectively, along with a rigorous mathematical proof of the convergence of the method. Finally, a numerical example is given to illustrate the effectiveness of this method.

Key words: fractional inverse diffusion problem, Landweber iterative method, a priori and a posteriori iteration choice rules, error estimate

CLC Number:

O175

Yunze Liu, Lixin Feng. Landweber Iterative Method for a Time Fractional Inverse Diffusion Problem[J].Acta mathematica scientia,Series A, 2026, 46(1): 80-93.

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Landweber Iterative Method for a Time Fractional Inverse Diffusion Problem

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