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Journal of Inequalities and Applications
Figure 2 | Journal of Inequalities and Applications

Figure 2

From: Novel, linear, decoupled and unconditionally energy stable numerical methods for the coupled Cahn–Hilliard equations

Figure 2

Evolution of modified discrete energies \(\mathcal{E}_{bdf1}\), \(\mathcal{E}_{cn}\), and \(\mathcal{E}_{bdf2}\), which are calculated by BDF1, CN, and BDF2 for various time steps. The parameters are \(\varepsilon _{u}=\varepsilon _{v}=0.05\), \(M_{u}=M_{v}=1\), \(\alpha =\beta =0.01\), \(\sigma =100\), \(S=10\), \(T=10\), \(\delta t=0.01, 0.005, 0.001, 0.0005, 0.0001\)

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