Inspired by the idea of applying kernel approximation to Taylor series expansions proposed in the corrective smoothed particle method (CSPM), a modi¿cation is developed to improve the accuracy of the approximations especially for particles in the boundary region. The large global error of the function approximation in CSPM is reduced in the present method. The large local truncation error in the boundary region for the ¿rst derivative approximation and large local truncation error in the entire domain for the second derivative approximation are also resolved. The e¿ciency of the proposed method is demonstrated by solving one- and two-dimensional transient heat conduction problems
