An efficient numerical technique for solution of two-dimensional cubic nonlinear Schrödinger equation with error analysis

DOI10.1016/j.enganabound.2017.07.012zbMath1403.65099OpenAlexW2741925910MaRDI QIDQ1655976

Ahmad Jafarabadi, Elyas Shivanian

Publication date: 10 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2017.07.012

zbMATH Keywords

radial basis functioncubic nonlinear Schrödinger equationspectral meshless radial point interpolation (SMRPI) method

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (7)

A meshless symplectic method for two-dimensional nonlinear Schrödinger equations based on radial basis function approximation ⋮ A local meshfree radial point interpolation method for Berger equation arising in modelling of thin plates ⋮ Analysis of the spectral meshless radial point interpolation for solving fractional reaction-subdiffusion equation ⋮ On the use of radial point interpolation method (RPIM) in a high order continuation for the resolution of the geometrically nonlinear elasticity problems ⋮ A wavelet method for nonlinear variable-order time fractional 2D Schrödinger equation ⋮ Analysis of an element-free Galerkin method for the nonlinear Schrödinger equation ⋮ Sinc Collocation Numerical Methods for Solving Two-Dimensional Gross-Pitaevskii Equations with Non-Homogeneous Dirichlet Boundary Conditions

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