Multiquadric and its shape parameter-A numerical investigation of error estimate, condition number, and round-off error by arbitrary precision computation

► Multiquadric and Gaussian RBF are efficient interpolating functions and solving PDE. ► Interpolation error is reduced by varying shape parameter w/o reducing mesh size. ► Arbitrary precision computation is used to explore theoretical results. ► Investigated error estimate, optimal shape parameter, condition no., and roundoff error.