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The natural frequencies are obtained using differential transform method (DTM).
The analytical solution was found using the Laplace transform method.
The homotopy analysis transform method is an innovative adjustment in Laplace transform method and makes the calculation much simpler.
The problem is solved by the Laplace transform method.
The static and dynamic fundamental solutions with anti-plane displacement discontinuity are derived for orthotropic FGM coating by using Fourier transform method and Laplace transform method.
This was possible using the short time Fourier transform method (STFT) where a small time window (length: two acoustic cycles or more) is shifted in time.
The problem is formulated by virtue of the Fourier transform method.
Unified closed form solutions are obtained for the governing equations using Laplace transform method.
The double differential transform method has been used for the analytical analysis.
Changes in fiber alignment were measured using the two-dimensional fast Fourier transform method.
This proposed technique is the coupling of Adomian decomposition method (ADM) and Laplace transform method (LTM).
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