Analytical and Numerical Study on Forced and Damped Complex Duffing Oscillators

نویسندگان

چکیده

In this work, some general forms for forced and damped complex Duffing oscillators (FDCDOs), including two different models, which are known as the oscillator (I) (FDCDO (I)) FDCDO (II), investigated by using effective analytical numerical approaches. For approximation, models of FDCDOs reduced to decoupled standard (FDDOs). After that, both ansatz method Krylov–Bogoliubov–Mitropolsky (KBM) approach applied in order derive accurate approximations terms trigonometric functions. approximations, finite difference is employed analyze coupled without causing them be original problems. addition, all obtained compared with fourth-order Runge–Kutta (RK4) approximations. Moreover, maximum residual distance error (MRDE) estimated verify accuracy

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ژورنال

عنوان ژورنال: Mathematics

سال: 2022

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math10234475