带Robin边界条件的一维Riesz分数阶方程差分格式

Difference scheme for one dimensional Riesz fractional order equation with Robin boundary conditions

考虑一类带Robin边界条件Riesz分数阶扩散方程有限差分方法,建立了含中心差分分数阶算子近似的差分格式,给出了该格式的解的存在性、稳定性以及收敛性。

The finite difference method for a class of Riesz fractional diffusion equations with Robin boundary conditions was considered.A difference scheme with the approximation of the central difference fractional operator was established.The existence,stability and convergence of the solution of the scheme were given.