“生物数学最新进展研讨会”系列报告

题    目：Numerical investigation of the 2D unsteady natural convection heat transfer equation with tempered fractional constitutive relationship

主讲人：韦雷雷 教授

单    位：河南工业大学

时    间：2025年12月17日 19:30

腾讯ID：733-362-746

摘    要：The tempered fractional diffusion equation extends the classical fractional diffusion                 equation by incorporating truncation effects to maintain finite moments and capture nonlocal            dynamics. This talk focuses on developing a high-order fully discrete discontinuous Galerkin (DG)      method for two-dimensional (2D) unsteady natural convection heat transfer equations governed by    tempered fractional constitutive relationships. We begin by designing an efficient finite difference       scheme to approximate the tempered fractional derivatives. Building on this, a fully discrete DG        method is formulated for the governing equations. The DG framework is particularly advantageous    due to its ability to handle complex geometries, accommodate nonuniform meshes, and provide high-order accuracy with local adaptivity. The proposed scheme is rigorously proven to be stable and         convergent. Finally, numerical experiments are conducted to demonstrate the method's                         effectiveness and verify its accuracy.

简    介：韦雷雷博士，河南工业大学教授， 河南省青年骨干教师，于2013年6月获得西安交通大学计算数学博士学位。研究兴趣主要包括间断有限元方法、非局部偏微分方程的高精度数值模拟和应用。主持完成国家自然科学基金、河南省科技攻关项目等各级项目13项，在Journal of Computational and Applied Mathematics、Applied Mathematical Modelling、Applied Numerical Mathematics等国际SCI期刊上发表50余篇学术论文，获得河南省优秀自然科学论文一等奖5项，二等奖3项。