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理学院数理讲坛(2017年第37讲)

发布日期:2017-07-31 作者:理学院

理学院数理讲坛2017年第37讲)

报告题目:Lattice Boltzmann method for time sub-diffusion equation in Caputo sense

报告人: 杜睿副教授

报告时间:201782日(星期三)上午 10:00-11:00

报告地点:阳明学院303

报告摘要:Anomalous diffusion, either subdiffusion or superdiffusion, is encountered in many diverse applications in science and engineering. Many numerical methods have been proposed to solve fractional partial differential equations (FPDEs). In this paper a fresh lattice Boltzmann model for sub-diffusion equation in time with Caputo sense is proposed. Through the Chapman-Enskog expansion, the time-fractional PDE can be recovered. Numerical tests with analytic solutions have been carried out to verify the present model. The numerical results agree well with the analytical solutions.

报告人简介:

   杜睿,东南大学数学学院副教授。近年来,主要从事介观数值方法研究和偏微分方程数值解的有限差分方法。至今,在国内外学术期刊上发表11SCI论文篇(其中第一作者9);主持国家自然科学基金两项、博士后基金一项,参与国家自然科学基金三项;担任多个SCI期刊(Applied Mathematical ModellingNumerical Methods for Partial Differential Equations等)审稿人。