Spectral deferred correction method for fractional initial value problem with Caputo–Hadamard derivative
X Liu, M Cai - Mathematics and Computers in Simulation, 2024 - Elsevier
This paper considers an efficient and accurate spectral deferred correction (SDC) method for
the initial value problem (IVP) with Caputo–Hadamard derivative. We first apply the basic …
the initial value problem (IVP) with Caputo–Hadamard derivative. We first apply the basic …
Numerical Simulation of Soliton Propagation Behavior for the Fractional-in-Space NLSE with Variable Coefficients on Unbounded Domain
F Tian, Y Wang, Z Li - Fractal and Fractional, 2024 - mdpi.com
The soliton propagation of the fractional-in-space nonlinear Schrodinger equation (NLSE) is
much more complicated than that of the corresponding integer NLSE. The aim of this paper …
much more complicated than that of the corresponding integer NLSE. The aim of this paper …
Energy-Preserving/Group-Preserving Schemes for Depicting Nonlinear Vibrations of Multi-Coupled Duffing Oscillators
In the paper, we first develop a novel automatically energy-preserving scheme (AEPS) for
the undamped and unforced single and multi-coupled Duffing equations by recasting them …
the undamped and unforced single and multi-coupled Duffing equations by recasting them …
[HTML][HTML] Energy-Conserving Explicit Relaxed Runge–Kutta Methods for the Fractional Nonlinear Schrödinger Equation Based on Scalar Auxiliary Variable Approach
Y Zhao, Y Li, J Zhu, Y Cao - Axioms, 2024 - mdpi.com
In this paper, we present a novel explicit structure-preserving numerical method for solving
nonlinear space-fractional Schrödinger equations based on the concept of the scalar …
nonlinear space-fractional Schrödinger equations based on the concept of the scalar …