A local radial basis function-finite difference (RBF-FD) method for solving 1D and 2D coupled Schrödinger-Boussinesq (SBq) equations
Ö Oruç - Engineering Analysis with Boundary Elements, 2021 - Elsevier
In this study, one-dimensional (1D) and two-dimensional (2D) coupled Schrödinger-
Boussinesq (SBq) equations are examined numerically. A local meshless method based on …
Boussinesq (SBq) equations are examined numerically. A local meshless method based on …
Simulation of the coupled Schrödinger–Boussinesq equations through integrated radial basis functions-partition of unity method
A Ebrahimijahan, M Dehghan… - Engineering Analysis with …, 2023 - Elsevier
In this paper, integrated radial basis functions-partition of unity (IRBF-PU) method is
presented for the numerical solution of the one-and two-dimensional coupled Schrödinger …
presented for the numerical solution of the one-and two-dimensional coupled Schrödinger …
Two energy-conserving and compact finite difference schemes for two-dimensional Schrödinger-Boussinesq equations
F Liao, L Zhang, T Wang - Numerical Algorithms, 2020 - Springer
In this paper, we study two compact finite difference schemes for the Schrödinger-
Boussinesq (SBq) equations in two dimensions. The proposed schemes are proved to …
Boussinesq (SBq) equations in two dimensions. The proposed schemes are proved to …
Analysis of the linearly energy-and mass-preserving finite difference methods for the coupled Schrödinger-Boussinesq equations
D Deng, Q Wu - Applied Numerical Mathematics, 2021 - Elsevier
This paper is concerned with numerical solutions of one-dimensional (1D) and two-
dimensional (2D) nonlinear coupled Schrödinger-Boussinesq equations (CSBEs) by a type …
dimensional (2D) nonlinear coupled Schrödinger-Boussinesq equations (CSBEs) by a type …
Structure-preserving BDF2 FE method for the coupled Schrödinger-Boussinesq equations
Y Yang, Z Sun, Y Liu, H Li - Numerical Algorithms, 2023 - Springer
In this article, a structure-preserving second-order backward difference formula (BDF2) finite
element (FE) method for finding the numerical solution of nonlinear coupled Schrödinger …
element (FE) method for finding the numerical solution of nonlinear coupled Schrödinger …
Linearized and decoupled structure‐preserving finite difference methods and their analyses for the coupled Schrödinger–Boussinesq equations
D Deng, Q Wu - Numerical Methods for Partial Differential …, 2021 - Wiley Online Library
In this paper, a three‐level finite difference method (FDM), which preserves energy and
mass conservative laws, is first derived for one‐dimensional (1D) nonlinear coupled …
mass conservative laws, is first derived for one‐dimensional (1D) nonlinear coupled …
Efficient eighth‐order accurate energy‐preserving compact difference schemes for the coupled Schrödinger–Boussinesq equations
M Almushaira - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
In this study, efficient eighth‐order accurate energy‐preserving compact finite difference
schemes are constructed for solving the two‐dimensional coupled Schrödinger–Boussinesq …
schemes are constructed for solving the two‐dimensional coupled Schrödinger–Boussinesq …
Two energy-preserving Fourier pseudo-spectral methods and error estimate for the Klein–Gordon–Dirac system
F Liao, F Geng, T Wang - … in Nonlinear Science and Numerical Simulation, 2023 - Elsevier
We devote the present paper to the convergency of conservative Fourier pseudo-spectral
methods for three-dimensional Klein–Gordon–Dirac (KGD) system. By adopting the …
methods for three-dimensional Klein–Gordon–Dirac (KGD) system. By adopting the …
Numerical solutions of Schrödinger–Boussinesq system by orthogonal spline collocation method
F Liao, F Geng, L Yao - Journal of Computational and Applied Mathematics, 2024 - Elsevier
This paper is concerned with the numerical solutions of Schrödinger–Boussinesq (SBq)
system by an orthogonal spline collocation (OSC) discretization in space and Crank …
system by an orthogonal spline collocation (OSC) discretization in space and Crank …
Efficient energy-preserving wavelet collocation schemes for the coupled nonlinear Schrödinger-Boussinesq system
J Cai, J Chen, B Yang - Applied Mathematics and Computation, 2019 - Elsevier
Second-and fourth-order energy-preserving wavelet collocation schemes are proposed for
the coupled nonlinear Schrödinger-Boussinesq system based on the Hamiltonian structure …
the coupled nonlinear Schrödinger-Boussinesq system based on the Hamiltonian structure …