The quadratic B-spline finite-element method for the coupled Schrödinger–Boussinesq equations
From MaRDI portal
Publication:3008376
DOI10.1080/00207160.2010.522234zbMath1216.35130OpenAlexW1983196542MaRDI QIDQ3008376
Publication date: 15 June 2011
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2010.522234
conservation propertiessemi-discrete schemecoupled Schrödinger-Boussinesq equationsquadratic B-spline finite-element method
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items
Error estimates of exponential wave integrator sine pseudospectral method for Schrödinger–Boussinesq system, Numerical analysis of cubic orthogonal spline collocation methods for the coupled Schrödinger-Boussinesq equations, Analysis of the linearly energy- and mass-preserving finite difference methods for the coupled Schrödinger-Boussinesq equations, Two energy-conserving and compact finite difference schemes for two-dimensional Schrödinger-Boussinesq equations, Orthonormal shifted discrete Chebyshev polynomials: application for a fractal-fractional version of the coupled Schrödinger-Boussinesq system, Conservative compact finite difference scheme for the coupled <scp>S</scp>chrödinger–<scp>B</scp>oussinesq equation, A B-spline finite element method for nonlinear differential equations describing crystal surface growth with variable coefficient, Linearized and decoupled structure‐preserving finite difference methods and their analyses for the coupled <scp>Schrödinger–Boussinesq</scp> equations, Cut-off error splitting technique for conservative nonconforming VEM for \(N\)-coupled nonlinear Schrödinger-Boussinesq equations, Efficient eighth‐order accurate energy‐preserving compact difference schemes for the coupled Schrödinger–Boussinesq equations, Structure-preserving BDF2 FE method for the coupled Schrödinger-Boussinesq equations, A Novel Approach with Time-Splitting Spectral Technique for the Coupled Schrödinger–Boussinesq Equations Involving Riesz Fractional Derivative, Time-splitting combined with exponential wave integrator Fourier pseudospectral method for Schrödinger-Boussinesq system, Conservative Fourier spectral scheme for the coupled Schrödinger-Boussinesq equations, Unconditional \(L^{\infty}\) convergence of a conservative compact finite difference scheme for the N-coupled Schrödinger-Boussinesq equations, Efficient and conservative compact difference scheme for the coupled Schrödinger-Boussinesq equations, Numerical analysis of a conservative linear compact difference scheme for the coupled Schrödinger–Boussinesq equations
Cites Work
- Unnamed Item
- The finite element method for the coupled Schrödinger-KdV equations
- Numerical simulation of a generalized Zakharov system
- Galerkin finite element methods for parabolic problems
- A series of exact solutions for coupled Higgs field equation and coupled Schrödinger-Boussinesq equation
- Normal form analysis and chaotic scenario in a Schrödinger-Boussinesq system.
- Doubly periodic solutions of the coupled scalar field equations
- Painléve analysis and Bäcklund transformations for coupled generalized Schrödinger-Boussinesq system
- Soliton solutions of a coupled field using the mixing exponential method
- Modified Nodal Cubic Spline Collocation For Poisson's Equation
- An algebraic method for finding a series of exact solutions to integrable and nonintegrable nonlinear evolution equations
- Exact solutions of coupled scalar field equations
- Existence of the periodic solution for the weakly damped Schrödinger-Boussinesq equation