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Fourier spectral high-order time-stepping method for numerical simulation of the multi-dimensional Allen-Cahn equations
This paper will introduce the Fourier spectral method combined with the strongly stable exponential time difference method as an attractive and easy-to-implement alternative for the integration of multi-dimensional Allen-Cahn equations with no-flux boundary conditions. The main advantages of the proposed method are that it utilizes the discrete fast Fourier transform …