numerical solution of nonlinear space-time fractional partial differential equations with variable coefficients using rbf pseudospectral method

A numerical scheme based on rbf-qr method and chebyshev polynomials is proposed for discretizing nonlinear space-time fractional partial differential equations (pdes) with variable coefficients. radial basis functions are used for space discretization and time variable is approximated by the chebyshev polynomials. numerical examples show theefficiency and accuracy of the presented method.