吉林大学学报（理学版）2026，Vol.64Issue(1)：13-20,8.DOI:10.13413/j.cnki.jdxblxb.2025126
解一类时间分数阶逆扩散问题的分数阶Tikhonov正则化方法
Fractional Order Tikhonov Regularization Method for Solving a Class of Time Fractional Order Inverse Diffusion Problems
摘要
Abstract
We discussed a class of inverse problem of time fractional order diffusion equations by using the fractional order Tikhonov regularization method.We gave selection criteria for the regularization parameter under prior and posterior conditions,and gave rigorous proofs of the convergence of the method.Numerical experimental results show that the fractional order Tikhonov regularization method is effective in solving this problem.关键词
分数阶逆扩散问题/分数阶Tikhonov正则化/先验和后验参数选取规则/误差估计Key words
fractional order inverse diffusion problem/fractional order Tikhonov regularization/selection rules for prior and posterior parameters/error estimates分类
数理科学引用本文复制引用
刘云泽,冯立新..解一类时间分数阶逆扩散问题的分数阶Tikhonov正则化方法[J].吉林大学学报（理学版）,2026,64(1):13-20,8.基金项目
国家自然科学基金(批准号:12101205)和黑龙江省自然科学基金(批准号:PL2024A010). （批准号:12101205）
