Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary

By A. Fedoseyev, M. Friedman, Edward J. Kansa. 2002

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A meshfree Hermite‐type radial point interpolation method for Kirchhoff plate problems (2006, methodology): “Kansa [3]–[5] successfully modified the MQ for solving partial differential equations (PDEs) of elliptic, parabolic, and hyperbolic types.”
On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs (2017, methodology): “This approach was described in [8, 18] for solving elliptic PDEs with global RBFs.”
Solving high order ordinary differential equations with radial basis function networks (2005, background): “As a result, many further interesting developments and applications have been reported (e.g. Sharan et al [13]; Zerroukat et al [14]; Mai-Duy and Tran-Cong [15,16]; Fedoseyev et al [17]).”
A collocation method based on one-dimensional RBF interpolation scheme for solving PDEs (2007, unknown): “Fedoseyev et al (2002) developed a MQ-RBF collocation method with PDE collocation on the boundaries; numerical results indicated a considerable improvement in accuracy.”