Regularization of the Time-Fractional Order SchröDinger Problem by Using the Mollification Regularization Method

被引：0
|
作者：
Yang, Lan [1 ]
Zhu, Lin [1 ]
He, Shangqin [2 ]
Zhao, Bingxin [1 ]
机构：
[1] Ningxia Univ, Ningxia Basic Sci Res Ctr Math, Sch Math & Stat, Ningxia Key Lab Interdisciplinary Mech & Sci Comp, Yinchuan, Peoples R China
[2] North Minzu Univ, Sch Math & Informat Sci, Yinchuan, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2025年 / 48卷 / 06期
基金：
美国国家科学基金会;
关键词：
a posteriori selection rule; a Dirichlet kernel; ill-posed problem; inverse time-fractional Schr & ouml; dinger problem; mollification regularization method; SCHRODINGER-EQUATION;
D O I：
10.1002/mma.10716
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This study investigates the solution of an ill-posed time-fractional order Schr & ouml;dinger equation using a mollification regularization technique of the Dirichlet kernel. The Dirichlet regularized solution is obtained through convolution of the Dirichlet kernel with real measured data. Estimations of convergence are derived based on parameter selection criteria of a priori and a posteriori. The efficiency of the methodology was successfully verified by simulation tests.
引用
收藏
页码：6799 / 6817
页数：19
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