Fourier spectral approximation for the convective Cahn-Hilliard equation in 2D cas
arXiv:1712.04084h-index: 7
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Provides rigorous numerical analysis for a specific PDE model, but the method is standard and the result is incremental for computational mathematics.
The authors developed Fourier spectral methods for the 2D convective Cahn-Hilliard equation, proving existence, uniqueness, and optimal error bounds for the numerical schemes.
In this paper, we consider the Fourier spectral method for numerically solving the 2D convective Cahn-Hilliard equation. The semi-discrete and fully discrete schemes are established. Moreover, the existence, uniqueness and the optimal error bound are also considered.