An Investigation on Reliable Analytical and Numerical Methods for the Riesz Fractional Nonlinear Schrödinger Equation inQuantum Mechanics

DOI10.1002/NUM.22211zbMath1407.65127OpenAlexW2758065091WikidataQ115397990 ScholiaQ115397990MaRDI QIDQ4623394

Santanu Saha Ray

Publication date: 15 February 2019

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22211

zbMATH Keywords

Riesz derivativefractional centered differenceimplicit finite difference techniquemodified optimal homotopy asymptotic method with Fourier transform

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for discrete and fast Fourier transforms (65T50) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

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New wave form solutions of nonlinear conformable time-fractional Zoomeron equation in (2 + 1)-dimensions ⋮ Two competent novel techniques based on two-dimensional wavelets for nonlinear variable-order Riesz space-fractional Schrödinger equations ⋮ A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients

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