学术报告 报告题目：A Finite difference scheme with interpolation-type fractional formulas for distributed-order
subdiffusion equations
报 告 人：Seakweng Vong 教授（澳门大学）
报告时间：2017年03月29日（星期三）下午16:20-17:20
报告地点：4号楼4318室
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数学学院
2017年03月27日
报告摘要：
In this talk we study a finite difference method for distributed-order sub-diffusion equations in Caputo's form. The fractional Caputo derivative is approximated by the Caputo's BDF2 approximations, which are constructed by piecewise quadratic interpolating polynomials. The method can be showed to be stable and convergent in the discrete $H^1$ norm by using the discrete energy method. For problems of distributed order within a certain region, the method is also proven to preserve the discrete maximum principle. Numerical experiments are provided to show the effectiveness of numerical schemes.