Bernoulli Wavelets Computational Algorithm for the Nonlinear Dynamical Systems: Technical Note
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Abstract
In this study, a wavelet computational approach is used to investigate the vibration system of the jet engine. The Bernoulli wavelet method (BWM) is used to solve the mathematical model on vibration of jet engine. The nonlinear differential equation is a second-order nonlinear initial value problem with damping and restoring moments and external periodic forces. The solutions are contrasted to the solutions of Homotopy Perturbation method (HPM) to establish effectiveness and credibility of the proposed method. The results exhibit how successfully BWM works as a solution to these issues and BWM is projected to be applied in a lot of application problems governing physical phenomena in engineering and science.
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