讨论一类反常次扩散问题,进行了有限元数值模拟,分别给出了其时间半离散、时间空间全离散形式,并且讨论了两种形式的稳定性、收敛性.最后给出数值例子显示所提出的数值方法的有效性.Recently fractional diffusion equations are widely used to describe anomalous diffusion processes,then the research for diffusion processes plays an important role in many fields such as engineering,physics,etc.In this paper,we consider a sub-diffusion equation by finite element method.The semi-discrete approximation and full discrete approximation are proposed.And the stability and convergence are discussed.Finally some numerical examples are presented to demonstrate the effectiveness of theoretical analysis.国家自然科学基金(11101344;11301194); 福建省自然科学基金(2013J01021
