Symmetric and Positive Splitting Iteration for Space Fractional Diffusion Equation

Sometimes integer-order partial differential equation cannot describe real situation perfectly. The fractional equation can fit real data more precisely. In this paper, we propose a special method to solve linear systems from the discretization of space fractional diffusion equation. Space fractional diffusion equation appears in many engineering applications, but getting high-accuracy requires large calculations. We put forward accelerate matrix splitting iteration to get solution more faster. We can let iteration matrix spectral radius become smaller and let iteration close to exact iteration.