Volume 10, Issue 4
Fourth-Order Compact Split-Step Finite Difference Method for Solving the Two and Three-Dimensional Nonlinear Schrödinger Equations

Rena Eskar and Xinlong Feng & Pengzhan Huang


Adv. Appl. Math. Mech., 10 (2018), pp. 879-895.

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  • Abstract

In this paper we show a fourth-order compact split-step finite difference method to solve the two and three-dimensional nonlinear Schrödinger equations. The conservation properties and stability are analyzed for the proposed scheme. Numerical results show that the method can provide accurate and stable solutions for the nonlinear Schrödinger equation.

  • History

Published online: 2018-07

  • AMS Subject Headings

65M15, 65Y20

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