A stable numerical method for multidimensional time fractional Schrödinger equations

DOI10.1016/j.camwa.2016.07.036zbMath1361.65056OpenAlexW2485470955MaRDI QIDQ521480

Allaberen Ashyralyev, Betul Hicdurmaz

Publication date: 11 April 2017

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.07.036

zbMATH Keywords

stabilitynumerical experimentsfinite difference schemeinitial boundary value problemstime fractional Schrödinger equationtwo-dimensional Schrödinger equationz-transform method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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Uses Software

• ML

Cites Work

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