Numerical solutions of nonlinear fractional Schrödinger equations using nonstandard discretizations

DOI10.1002/num.22117zbMath1376.65115OpenAlexW2547631474MaRDI QIDQ5365202

Taghreed Abdul Rahman Assiri, Muner M. Abou Hasan, Nasser Hassan Sweilam

Publication date: 6 October 2017

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

Full work available at URL: https://doi.org/10.1002/num.22117

zbMATH Keywords

stabilitynumerical examplenonlinear fractional Schrödinger equationweighted average nonstandard finite difference methodquantum Riesz-Feller fractional definition

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) NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11)

Related Items

Two-phase simulation of a shell and tube heat exchanger filled with hybrid nanofluid, Reduced differential transform and Sumudu transform methods for solving fractional financial models of awareness, New studies for general fractional financial models of awareness and trial advertising decisions, Unnamed Item