The modified differential transform method (MDTM), Laplace transform and Padé approximants are used to investigate a semi-analytic form of solutions of nonlinear oscillators in a large time domain. Forced Duffing and forced van der Pol oscillators under damping effect are studied to investigate semi-analytic forms of solutions. Moreover, solutions of the suggested nonlinear oscillators are obtained using the fourth-order Runge-Kutta numerical solution method. A comparison of the result by the numerical Runge-Kutta fourth-order accuracy method is compared with the result by the MDTM and plotted in a long time domain.
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机译：改进的差分变换方法（MDTM），拉普拉斯变换和Padé近似值用于研究大时域非线性振荡器解的半解析形式。研究了在阻尼作用下的强迫Duffing和强迫Van der Pol振荡器，以研究解的半解析形式。此外，使用四阶Runge-Kutta数值解法可以获得建议的非线性振荡器的解。将数值Runge-Kutta四阶精度方法的结果比较与MDTM的结果进行比较，并绘制在较长的时间域中。
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