Construction and Comparative Study of Second Order Time Stepping Methods Based on IQ and IMQ-RBFs

The fundamental purpose of the present work is to constitute second order time-stepping methods with inverse-quadratic and inverse-multi-quadratic radial basis function (RBF) interpolation technique solve initial value problems. These improve local convergence numerical solutions by utilizing a free parameter functions. Consistency, stability analysis provided support our claims for each method. Numerical results show that accuracy rate proposed method are same as standard or improved making truncation error vanish; thus, optimal.