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Xian-Yue Li

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Sep 2026

Unconditionally Convergent High-Order Energy-Stable Compact Scheme for Nonlinear Sobolev Equation Through Convex Splitting

A high-order compact modified Crank-Nicolson scheme is proposed for the nonlinear Sobolev equation, in which a convex energy splitting approach is employed to address key computational challenges. By decomposing the energy functional into two convex components, a spatially fourth-order and temporally second-order compa...

Meng-Ling Wu, Xian-Yue Li, Ke-Jia Pan et al. · 0 citations

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