High-precision numerical method for non-linear dynamic systems

A new high-precision numerical arithmetic for solving the non-linear dynamic system is proposed. The ordinary nonlinear dynamic equation is reconstructed, and the new equivalent equation training arbitrary high order remainder. The arithmetic presents Duhamel integration expression, using Newton-Raphson iterative arithmetic to seek the numerical solution, satisfying the differential equation continuously rather than at discrete spots, therefore, the arithmetic exceeds the traditional Euler finite differential method. Compared with the traditional method, such as Runge-Kutta method, Newmark-β method and Wilson-θ et al., the calculation precision of this method is much higher.