TY - JOUR T1 - Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System AU - Vong , Seakweng AU - Wang , Zhibo JO - Advances in Applied Mathematics and Mechanics VL - 4 SP - 419 EP - 435 PY - 2014 DA - 2014/06 SN - 6 DO - http://doi.org/10.4208/aamm.2014.4.s1 UR - https://global-sci.org/intro/article_detail/aamm/27.html KW - Fourth-order fractional subdiffusion equation, compact difference scheme, energy method, stability, convergence. AB -

In this paper, we study a high-order compact difference scheme for the fourth-order fractional subdiffusion system. We consider the situation in which the unknown function and its first-order derivative are given at the boundary. The scheme is shown to have high order convergence. Numerical examples are given to verify the theoretical results.