Meng-Ling Wu

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...

A Superconvergent Two-Grid Finite Element Method for the Keller–Segel Equations with Cross-Diffusion and Logistic Source