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Long-time stability analysis of an explicit exponential Runge-Kutta scheme for Cahn-Hilliard equations

Guo, Jing
arXiv (OAI Expanded) · Papers
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65m1265m15numerical-analysis
In this paper, we present a rigorous long-time stability analysis of a second-order explicit exponential Runge--Kutta (ERK2) method for the Cahn--Hilliard equation. By employing Fourier spectral collocation in space and a two-stage ERK2 scheme in time, we construct a fully discrete numerical method
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