# Weighted finite difference methods for a class of space fractional partial differential equations with variable coefficients

@article{Ding2010WeightedFD, title={Weighted finite difference methods for a class of space fractional partial differential equations with variable coefficients}, author={Z. Ding and A. Xiao and M. Li}, journal={J. Comput. Appl. Math.}, year={2010}, volume={233}, pages={1905-1914} }

A class of weighted finite difference methods (WFDMs) for solving a class of initial-boundary value problems of space fractional partial differential equations with variable coefficients is presented. Their stability and convergence properties are considered. It is proven that the WFDMs are unconditionally-stable for [email protected][email protected]?12, and conditionally-stable for 12

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