数学
离散化
数学分析
时间离散化
非线性系统
多边形网格
规范(哲学)
边值问题
趋同(经济学)
奇点
勒让德多项式
应用数学
几何学
物理
量子力学
经济
经济增长
法学
政治学
标识
DOI:10.1080/00207160.2022.2070842
摘要
This paper is concerned with the numerical approximation of the nonlinear time fractional Schrödinger equation subject to the initial and Neumann boundary conditions whose solution exhibits an initial weak singularity. A linearized fully discrete scheme is presented by using the finite difference method on graded meshes for temporal discretization and Gauss Lobatto Legendre Birkhoff spectral method for spatial discretization. Based on a temporal-spatial error splitting argument, the boundedness of the numerical solution in the L∞ norm is proved rigorously. The convergence of the proposed scheme is obtained unconditionally. The theoretical results are verified through some numerical examples.
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