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学术报告:分数阶偏微分方程的差分解法

报告人:     厦门大学数学科学学院,庄平辉 

报告题目:  分数阶偏微分方程的差分解法 

报告时间:  2011年12月22日,星期四 16:00 pm - 17:00pm

 报告地点: B703

 摘要:

A physical-mathematical approach to anomalous diffusion is based on a generalized diffusion equation containing derivatives of fractional order. In this talk, fractional partial differential equation is considered. I will provide an overview of the numerical methods for fractional partial equation. Some difference approximations for fractional diffusion equation, fractional advection-diffusion equation and anomalous sub-diffusion equation will be introduced. Numerical methods and theoretical analysis will be discussed.immiscible binary mixtures, (ii) Non-isothermal two-phase flows on solid substrates--one-component liquid-gas flows involving phase transitions in non-uniform temperatures.