An Application of Reduced-Order FEM Based on POD to the Fractional Tricomi-Type Equation
(0) In this paper, a reduced-order finite element method (FEM), which is based on proper orthogonal decomposition (POD) technique, is applied to the time fractional Tricomi-type equation.The presented method is an improvement on general FEM and can alleviate the computational load and memory requirement effectively due to its reconstruction of POD basis functions.Furthermore, the reduced-order FEM is proved to be unconditionally stable and the error estimates are derived in detail.Numerical examples are presented to illustrate the feasibility and effectiveness of the method for time fractional differential equations.
reduced-order finite element method proper orthogonal decomposition time fractional Tricomi-type equation unconditionally stable error estimates
Jincun Liu Hong Li Yang Liu Zhichao Fang
School of Mathematical Sciences, Inner Mongolia University, Hohhot, 010021, China
国内会议
湖南张家界
英文
290-295
2014-08-17（万方平台首次上网日期，不代表论文的发表时间）