Mixed Spline Function Method for Reaction-Subdiffusion Equations

摘要：

In this paper, we develop two classes of finite difference schemes for the reaction- subdiffusion equations by using a mixed spline function in space direction and forward, backward difference in time direction, respectively. It has been shown that some of the previous known difference schemes can be derived from our schemes if we suitably choose the spline parameters. By Fourier method, we prove that one class of difference scheme is unconditionally stable and convergent, the other is conditionally stable and convergent. Finally, some numerical results are provided to demonstrate the effectiveness of the proposed difference schemes.

关键词： Fractional derivatives Reaction-subdiffusion equation Mixed spline function Fourier method Numerical stability.

作者: Hengfei Ding Changpin Li

作者单位: Department of Mathematics, Shanghai University, Shanghai 200444,China Department of Mathematics, Shanghai University, Shanghai 200444, China

会议类型: 国际会议

会议名称: The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)

会议地点: 南京

会议语种:英文

页码: 1-9

在线出版日期: 2012-05-14（万方平台首次上网日期，不代表论文的发表时间）