Numerical Simulation for the Variable-Order Fractional Schrödinger Equation with the Quantum Riesz-Feller Derivative
DOI10.4208/aamm.2015.m1312zbMath1488.65289OpenAlexW2573471150MaRDI QIDQ5155270
M. M. Abou Hasan, Nasser Hassan Sweilam
Publication date: 6 October 2021
Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/aamm.2015.m1312
weighted average non-standard finite difference methodJon von Neumann stability analysisquantum Riesz-Feller variable-order definitionvariable-order Schrödinger equation
Fractional derivatives and integrals (26A33) 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) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)
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