题目：Error analysis of a finite difference scheme on a modified graded mesh for a time-fractional diffusion equation

报告人：刘利斌（南宁师范大学，教授）

时间：2023年6月13日（周二）下午14:00-15:30

地点：博奕一楼大教室

报告人简介：

刘利斌，南宁师范大学教授，硕士生导师。从事奇异摄动微分方程和分数阶微分方程的自适应移动网格算法的研究，主持完成国家自然科学基金3项，广西自然科学基金2项，相关研究成果发表在J. Comput. Math、JSC、CICP等国内外重要数学SCI刊物上。

内容提要：

This talk is concerned with a finite difference scheme on a new modified graded mesh for a time fractional diffusion equation with a Caputo fractional derivative of order $\alpha\in (0,1)$. At first, the construction and some basic properties of this new modified graded mesh are investigated and on its basis the L1 scheme is applied to approximate the Caputo derivative. Meanwhile, the standard center finite difference scheme on a uniform mesh is used to discretize the diffusion term. Then, stability and convergence of the proposed scheme in the maximum norm are proved.

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