A high-order structure-preserving difference scheme for generalized fractional Schrödinger...

Arbitrarily high-order explicit energy-conserving methods for the generalized nonlinear fractional Schrödinger wave equations

Y Liu, M Ran - Mathematics and Computers in Simulation, 2024 - Elsevier
A novel category of explicit conservative numerical methods with arbitrarily high-order is
introduced for solving the nonlinear fractional Schrödinger wave equations in one and two …
被引用次数：4 相关文章 所有 4 个版本

Hamiltonian-preserving schemes for the two-dimensional fractional nonlinear Schrödinger wave equations

Y Liu, M Ran, L Zhang - Computers & Mathematics with Applications, 2023 - Elsevier
The focus of this paper is to construct structure-preserving numerical methods for the
fractional nonlinear Schrödinger wave equations in two dimensions. We first develop the …
被引用次数：2 相关文章 所有 2 个版本