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阮周生副教授讲座公告
来源:中南财经政法大学统计与数学学院    编辑:佚名    时间:2017-5-8    点击数:

    报  人:  阮周生(东华理工大学)

    报告时间:5月16号上午9:50—10:30

    报告地点:文波楼4楼会议室

    报告题目Simultaneous inversion of the fractional order and the space-dependent source term for the time-fractional diffusion equation

    摘   要:In this talk a simultaneous identification problem of the space-wise source term and the fractional order for a time fractional diffusion equation is considered. Firstly, the regularized properties of the solution to the direct problem is derived. Then under some assumption and with two different kinds of observation data  for one-dimensional and two dimensional time fractional diffusion equation, the unique  results of the inverse problem are proven by the Laplace transformation method and analytic continuation technique. Furthermore the inverse problems are transformed into Tikhonov type optimization problems, the existence of the optimal solutions to the Tikhonov functional is proven. At last, we construct an alternation iteration inversion method to solve the optimization problems. The efficiency and stability of the proposed method are tested by several one- and two-dimensional examples.

    主讲人简介:

    阮周生,东华理工大学里学院副教授。研究兴趣主要在访问的建模和计算。