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

報(bào)告人：劉利斌（南寧師范大學(xué)，教授）

時(shí)間：2023年6月13日（周二）下午14:00-15:30

地點(diǎn)：博奕一樓大教室

報(bào)告人簡(jiǎn)介：

劉利斌，南寧師范大學(xué)教授，碩士生導(dǎo)師。從事奇異攝動(dòng)微分方程和分?jǐn)?shù)階微分方程的自適應(yīng)移動(dòng)網(wǎng)格算法的研究，主持完成國(guó)家自然科學(xué)基金3項(xiàng)，廣西自然科學(xué)基金2項(xiàng)，相關(guān)研究成果發(fā)表在J. Comput. Math、JSC、CICP等國(guó)內(nèi)外重要數(shù)學(xué)SCI刊物上。

內(nèi)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.

主辦單位：大數(shù)據(jù)與人工智能學(xué)院