  This article aims to develop a direct numerical approach to solve the
space-fractional partial differential equations (PDEs) based on a new
differential quadrature (DQ) technique. The fractional derivatives are
approximated by the weighted linear combinations of the function values at
discrete grid points on problem domain with the weights calculated via using
three types of radial basis functions (RBFs) as test functions. The method in
presence is robust, straight forward to apply, and highly accurate under the
condition that the shape parameters of RBFs are well chosen. Numerical tests
are provided to illustrate its validity and capability.
