A conservative difference scheme with optimal pointwise error estimates for two‐dimensional space fractional nonlinear Schrödinger equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22788 ◽

2021 ◽

Author(s):

Hongling Hu ◽

Xianlin Jin ◽

Dongdong He ◽

Kejia Pan ◽

Qifeng Zhang

Keyword(s):

Difference Scheme ◽

Error Estimates ◽

Dimensional Space ◽

Schrödinger Equations ◽

Two Dimensional ◽

Conservative Difference Scheme ◽

Pointwise Error ◽

Nonlinear Schrodinger Equations ◽

Pointwise Error Estimates ◽

Conservative Difference

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A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations

Journal of Computational Physics ◽

10.1016/j.jcp.2014.04.047 ◽

2014 ◽

Vol 272 ◽

pp. 644-655 ◽

Author(s):

Dongling Wang ◽

Aiguo Xiao ◽

Wei Yang

Keyword(s):

Difference Scheme ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Conservative Difference Scheme ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Conservative Difference

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Convergence of a conservative difference scheme for a class of Klein–Gordon–Schrödinger equations in one space dimension

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.02.010 ◽

2005 ◽

Vol 163 (1) ◽

pp. 343-355 ◽

Author(s):

Luming Zhang

Keyword(s):

Difference Scheme ◽

Space Dimension ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Conservative Difference Scheme ◽

Klein Gordon ◽

Conservative Difference ◽

One Space Dimension

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An energy conservative difference scheme for the nonlinear fractional Schrödinger equations

Journal of Computational Physics ◽

10.1016/j.jcp.2014.03.037 ◽

2015 ◽

Vol 293 ◽

pp. 238-251 ◽

Author(s):

Pengde Wang ◽

Chengming Huang

Keyword(s):

Difference Scheme ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Conservative Difference Scheme ◽

Fractional Schrödinger Equations ◽

Nonlinear Fractional Schrödinger Equations ◽

Conservative Difference

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A Conservative Difference Scheme for Space Fractional Klein-Gordon-Schrödinger Equations with a High-Degree Yukawa Interaction

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.220418.300618 ◽

2018 ◽

Vol 8 (4) ◽

Author(s):

Junjie Wang ◽

Aiguo Xiao ◽

Chenxi Wang

Keyword(s):

Difference Scheme ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Yukawa Interaction ◽

Conservative Difference Scheme ◽

Klein Gordon ◽

High Degree ◽

Conservative Difference

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A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2016.04.026 ◽

2016 ◽

Vol 41 ◽

pp. 64-83 ◽

Author(s):

Maohua Ran ◽

Chengjian Zhang

Keyword(s):

Difference Scheme ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Strongly Coupled ◽

Conservative Difference Scheme ◽

Fractional Schrödinger Equations ◽

Nonlinear Fractional Schrödinger Equations ◽

Conservative Difference

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On the compact difference scheme for the two‐dimensional coupled nonlinear Schrödinger equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22855 ◽

2021 ◽

Author(s):

Mohamed Rahmeni ◽

Khaled Omrani

Keyword(s):

Difference Scheme ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Coupled Nonlinear Schrödinger Equations ◽

Compact Difference Scheme ◽

Nonlinear Schrödinger ◽

Compact Difference ◽

Nonlinear Schrodinger Equations

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Finite difference scheme for two-dimensional periodic nonlinear Schrödinger equations

Journal of Evolution Equations ◽

10.1007/s00028-020-00585-y ◽

2020 ◽

Author(s):

Younghun Hong ◽

Chulkwang Kwak ◽

Shohei Nakamura ◽

Changhun Yang

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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A completely conservative difference scheme for the two-dimensional Landau equation

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(80)90040-3 ◽

1980 ◽

Vol 20 (2) ◽

pp. 249-253 ◽

Author(s):

I.F. Potapenko ◽

V.A. Chuyanov

Keyword(s):

Difference Scheme ◽

Landau Equation ◽

Two Dimensional ◽

Conservative Difference Scheme ◽

Conservative Difference

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Pointwise error estimates of a linearized difference scheme for strongly coupled fractional Ginzburg‐Landau equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5897 ◽

2019 ◽

Vol 43 (2) ◽

pp. 512-535 ◽

Author(s):

Kejia Pan ◽

Xianlin Jin ◽

Dongdong He

Keyword(s):

Difference Scheme ◽

Error Estimates ◽

Ginzburg Landau ◽

Strongly Coupled ◽

Pointwise Error ◽

Ginzburg Landau Equations ◽

Pointwise Error Estimates

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Nonlinear Schrödinger equations with inverse-square potentials in two dimensional space

Dynamical Systems and Differential Equations, AIMS Proceedings 2015 Proceedings of the 10th AIMS International Conference (Madrid, Spain) ◽

10.3934/proc.2015.1019 ◽

2015 ◽

Author(s):

Toshiyuki Suzuki

Keyword(s):

Dimensional Space ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Inverse Square Potentials

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