A linearized compact ADI numerical method for the two-dimensional nonlinear delayed Schrödinger equation

作者：

Highlights：

• A linearized compact alternating direction implicit (ADI) scheme is developed.

• The scheme achieves second-order accuracy in time direction and fourth-order accuracy in space direction.

• The discrete energy for the two-dimensional nonlinear delayed Schrödinger equation is examined.

摘要

•A linearized compact alternating direction implicit (ADI) scheme is developed.•The scheme achieves second-order accuracy in time direction and fourth-order accuracy in space direction.•The discrete energy for the two-dimensional nonlinear delayed Schrödinger equation is examined.

论文关键词：Nonlinear delayed Schrödinger equation,Compact ADI numerical method,Convergence,Stability

论文评审过程：Received 9 February 2021, Revised 19 July 2021, Accepted 2 August 2021, Available online 18 August 2021, Version of Record 18 August 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126580