This paper considers the numerical approximation of the time fractional Allen–Cahn equation with initial and periodic boundary conditions, and a linear fully discrete scheme is constructed with the finite difference method in time and the Fourier spectral method in space. Based on a temporal–spatial error splitting argument, the boundedness of numerical solutions in the L∞ norm is rigorously proved and the unconditional convergence of the proposed scheme is obtained. Numerical examples illustrate the theoretical results.
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Xiaoli Li
Guilin University of Electronic Technology
Wenping Chen
Guilin University of Electronic Technology
Q. Li
Anhui Provincial Hospital
Mathematics
Guilin University of Electronic Technology
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Li et al. (Mon,) studied this question.
synapsesocial.com/papers/69ba42ee4e9516ffd37a39cc — DOI: https://doi.org/10.3390/math14061006
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