Computational study demonstrates solvability and convergence in generalized time-fractional Boussinesq equations, highlighting the efficiency of Fourier spectral methods.
In this paper, an efficient numerical method is presented for solving the generalized time-fractional Boussinesq equation. The Caputo fractional derivative is approximated by the L1 formula and the space is discretized by using the Fourier spectral method. The a priori estimates, solvability and convergence of the numerical scheme are rigorously established. The presented numerical results demonstrate the effectiveness of the Fourier spectral method.
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Chen et al. (2026) studied this question.
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