The Finite Element Method for the Generalized Space Fractional Fokker-Planck Equation
In this paper, we derive the finite element method for the numerical solution of the Generalized space fractional order (fractional for simplicity) Fokker-Planck equation, which the space fractional derivatives are the left and right Riemann-Liouville derivatives that can be used to describe L′evy flights. The fully discrete numerical approximation is analyzed, where the Galerkin finite element method for the space Riemann-Liouville fractional derivatives with order 1+ˉ2 1; 2) and °2 (0;1. Results on variational solution of the error estimates are presented. Numerical examples are included to confirm the theoretical estimates.
Space fractional Fokker-Planck equation Riemann-Liouville derivative L′evy flights finite element method.
Zhengang Zhao Changpin Li
Department of Mathematics, Shanghai University, Shanghai 200444, China.
国际会议
青岛
英文
511-516
2010-07-15（万方平台首次上网日期，不代表论文的发表时间）