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Section B

The quadratic B-spline finite-element method for the coupled Schrödinger–Boussinesq equations

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Pages 1714-1729 | Received 11 May 2010, Accepted 25 Aug 2010, Published online: 14 Mar 2011

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Feng Liao & Luming Zhang. (2021) Error estimates of exponential wave integrator sine pseudospectral method for Schrödinger–Boussinesq system. International Journal of Computer Mathematics 98:4, pages 807-828.
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Feng Liao & Luming Zhang. (2018) Numerical analysis of a conservative linear compact difference scheme for the coupled Schrödinger–Boussinesq equations. International Journal of Computer Mathematics 95:5, pages 961-978.
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M.H. Heydari, M. Razzaghi & Z. Avazzadeh. (2021) Orthonormal shifted discrete Chebyshev polynomials: Application for a fractal-fractional version of the coupled Schrödinger-Boussinesq system. Chaos, Solitons & Fractals 143, pages 110570.
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Feng Liao, Luming Zhang & Tingchun Wang. (2020) Two energy-conserving and compact finite difference schemes for two-dimensional Schrödinger-Boussinesq equations. Numerical Algorithms 85:4, pages 1335-1363.
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Xiuling Hu, Shanshan Wang & Luming Zhang. (2019) Maximum error estimates for a compact difference scheme of the coupled nonlinear Schrödinger–Boussinesq equations. Numerical Methods for Partial Differential Equations 35:6, pages 1971-1999.
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Feng Liao, Luming Zhang & Xiuling Hu. (2019) Conservative finite difference methods for fractional Schrödinger–Boussinesq equations and convergence analysis. Numerical Methods for Partial Differential Equations 35:4, pages 1305-1325.
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Feng Liao, Luming Zhang & Tingchun Wang. (2019) Unconditional L∞ convergence of a conservative compact finite difference scheme for the N-coupled Schrödinger–Boussinesq equations. Applied Numerical Mathematics 138, pages 54-77.
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Junjie Wang. (2018) Conservative Fourier spectral scheme for the coupled Schrödinger–Boussinesq equations. Advances in Difference Equations 2018:1.
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Feng Liao, Luming Zhang & Shanshan Wang. (2018) Time-splitting combined with exponential wave integrator fourier pseudospectral method for Schrödinger–Boussinesq system. Communications in Nonlinear Science and Numerical Simulation 55, pages 93-104.
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S. Saha Ray. (2017) A Novel Approach with Time-Splitting Spectral Technique for the Coupled Schrödinger–Boussinesq Equations Involving Riesz Fractional Derivative. Communications in Theoretical Physics 68:3, pages 301.
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Feng Liao, Luming Zhang & Shanshan Wang. (2017) Numerical analysis of cubic orthogonal spline collocation methods for the coupled Schrödinger–Boussinesq equations. Applied Numerical Mathematics 119, pages 194-212.
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Feng Liao & Luming Zhang. (2016) Conservative compact finite difference scheme for the coupled Schrödinger-Boussinesq equation. Numerical Methods for Partial Differential Equations 32:6, pages 1667-1688.
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M. S. Ismail & H. A. Ashi. (2016) A Compact Finite Difference Schemes for Solving the Coupled Nonlinear Schrodinger-Boussinesq Equations. Applied Mathematics 07:07, pages 605-615.
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Cui-Cui Liao, Jin-Chao Cui, Jiu-Zhen Liang & Xiao-Hua Ding. (2016) Multi-symplectic variational integrators for nonlinear Schrödinger equations with variable coefficients. Chinese Physics B 25:1, pages 010205.
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Lang-Yang Huang, Yan-Dong Jiao & De-Min Liang. (2013) Multi-symplectic scheme for the coupled Schrödinger—Boussinesq equations. Chinese Physics B 22:7, pages 070201.
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