Two finite difference schemes for time fractional diffusion-wave equation

摘要：

　　Time fractional diffusion-wave equations are generalizations of classical diffusion and wave equations which are used in modeling practical phenomena of diffusion and wave in fluid flow,oil strata and others.In this paper we construct two finite difference schemes to solve a class of initial-boundary value time fractional diffusion-wave equations based on its equivalent partial integro-differential equations.Under the weak smoothness conditions,we prove that our two schemes are convergent with first-order accuracy in temporal direction and second-order accuracy in spatial direction.Numerical experiments are carried out to demonstrate the theoretical analysis.

关键词： Finite difference scheme Fractional diffusion-wave equation Integro-differential equation Euler method Crank-Nicolson method

作者: Jianfei Huang Yifa Tang Luis V(a)zquez Jiye Yang

作者单位: LSEC,ICMSEC,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,Ch Departamento de Matem(a)tica Aplicada,Facultad de Inform(a)tica,Instituto de Matem(a)tica Interdisci

会议类型: 国内会议

会议名称: 第四届中国系统仿真学会青年工作委员会学术会议暨2012仿真科学与技术青年学术论坛

会议地点: 敦煌

会议语种:英文

页码: 48-59

在线出版日期: 2012-08-01（万方平台首次上网日期，不代表论文的发表时间）