Mathematica Eterna
Open Access

Abstract

Application of differential transformation method to nonlinear q-symmetric damped systems

Li Wang and Chengmin Hou

In this paper, we first induce the recursive formula of q-symmetric polynomials and prove the product rule of two q-symmetric polynomials at 0.Then differential transformation method can be applied to find approximate solution of nonlinear q-symmetric difference equation. Last but not least, the approximate solutions are also contrasted with the numerical solutions to verify their accuracy.