Application of a differential transformation method to strongly nonlinear damped q-difference equations

The theory of approximate solution lacks research on the area of nonlinear q-difference equations. This article explores the possibility of using the differential transformation method to find an approximate solution for strongly nonlinear damped q-difference equations. The time response of the nonlinear equation is presented under different parameter conditions, and the results are then compared with those derived from the numerical method to verify the accuracy of the proposed method.

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