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时间分数次扩散方程反演源项问题的迭代正则化方法

本站小编 Free考研考试/2021-12-27

程强, 熊向团
西北师范大学数学与统计学院, 计算数学研究所, 兰州 730070
收稿日期:2016-09-27出版日期:2017-08-15发布日期:2017-08-04


基金资助:国家自然科学基金(11661072)和西北师范大学博士启动金(5002-577)资助项目


AN ITERATIVE METHOD FOR AN INVERSE SOURCE PROBLEM OF A TIME-FRACTIONAL DIFFUSION EQUATION

Cheng Qiang, Xiong Xiangtuan
Department of Mathematics, Northwest Normal University, Lanzhou 730070, China
Received:2016-09-27Online:2017-08-15Published:2017-08-04







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时间分数次扩散方程中反演源项问题是一类经典不适定问题.本文构造了一种新的迭代格式作为正则化方法,给出了先验和后验参数选取下相应的收敛性分析.数值算例验证该方法的有效性.
MR(2010)主题分类:
65R32

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