Numerical study of the one-dimensional damped and forced Dirac nonlinear Schrödinger equation with artificial boundary conditions
DOI10.3934/DCDSS.2023183MaRDI QIDQ6657918
Abderrazak Chrifi, Mostafa Abounouh, Hassan Al Moatassime
Publication date: 7 January 2025
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
finite element methodnonlinear Schrödinger equationCrank-Nicolson schemefractional derivativeartificial boundary condition
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
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