Crank-Nicolson Galerkin Approximations for Logarithmic Klein-Gordon Equation
Fang Chen,
Meng Li and Yanmin Zhao
Abstract:This paper presents three regularized models for the logarithmic Klein-Gordon equation. By using a modified Crank-Nicolson method in time and the Galerkin finite element method (FEM) in space, a fully implicit energy-conservative numerical scheme is constructed for the local energy regularized model that is regarded as the best one among the three regularized models. Then, the cut-off function technique and the time-space error splitting technique are innovatively combined to rigorously analyze the uncondition… Show more
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