Nonlocal boundary value problems for the Schrödinger equation

DOI10.1016/j.camwa.2007.04.021zbMath1155.65368OpenAlexW2051309064MaRDI QIDQ1005817

Ali Sirma, Allaberen Ashyralyev

Publication date: 10 March 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.04.021

zbMATH Keywords

stabilitySchrödinger equationdifference schemesspectral representationself adjoint operator

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (14)

A note on nonlocal boundary value problem for elliptic-Schrödinger equations with multipoint nonlocal boundary condition ⋮ Bounded solutions of second order of accuracy difference schemes for semilinear fractional Schrödinger equations ⋮ On the stable difference schemes for the Schrödinger equation with time delay ⋮ Regularity of complexified hyperbolic equations with integral conditions ⋮ Finite difference method for multipoint nonlocal elliptic-parabolic problems ⋮ A note on the numerical solution of the semilinear Schrödinger equation ⋮ A note on nonlocal boundary value problems for hyperbolic Schrödinger equations ⋮ On the numerical solution of fractional Schrödinger differential equations with the Dirichlet condition ⋮ Determination of a control parameter for the difference Schrödinger equation ⋮ Vectorial approach to coupled nonlinear Schrödinger systems under nonlocal Cauchy conditions ⋮ Integral problem for Schrödinger-type equations with the general elliptic part ⋮ Modified Crank-Nicolson difference schemes for nonlocal boundary value problem for the Schrödinger equation ⋮ On the Stability of Schrödinger Type Involutory Differential Equations ⋮ On the stability of the Schrödinger equation with time delay

Cites Work

• Unnamed Item
• A finite-difference method for the one-dimensional time-dependent Schrödinger equation on unbounded domain
• Time-nonlocal problems for Schrödinger type equations. II: Results for specific problems
• Time-nonlocal problems for Schrödinger type equations. I: Problems in abstract spaces
• Kombinationswirbelfelder in realen Strömungen
• ON WELL-POSEDNESS OF DIFFERENCE SCHEMES FOR ABSTRACT PARABOLIC EQUATIONS INL^P([0,T;E) SPACES]
• Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions

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